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QCD相变的戴森-施温格方程方法研究
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作者 高飞 刘玉鑫 《核技术》 CAS CSCD 北大核心 2023年第4期222-233,共12页
量子色动力学(Quantum Chromodynamics,QCD)在有限温度有限密度平面内具有丰富的相结构,关于相边界曲线、临界终点(Critical Endpoint,CEP)的位置以及各相的热力学性质、状态方程等的研究是目前理论和实验上的重点问题,寻找QCD相变信号... 量子色动力学(Quantum Chromodynamics,QCD)在有限温度有限密度平面内具有丰富的相结构,关于相边界曲线、临界终点(Critical Endpoint,CEP)的位置以及各相的热力学性质、状态方程等的研究是目前理论和实验上的重点问题,寻找QCD相变信号,特别是确定CEP的位置,成为了相对论性重离子对撞机当前和未来实验计划的主要目标。本文简要小结在QCD的戴森-施温格方程(Dyson-Schwinger equation,DSE)方法框架下,关于手征对称性恢复相变和退禁闭相变研究的进展和主要结果,着重介绍关于DSE的截断方案的探索和完善、QCD相变的手征磁化率判据和推广的施温格(Schwinger)函数判据、及由之确定的手征和禁闭两种相变的相图。DSE方法预言的手征相变的CEP位置大致位于(T,μB)(110,600) MeV,与泛函重整化群等方法预言的结果一致。这些结果对于重离子对撞实验搜寻CEP信号具有指导价值。 展开更多
关键词 QCD相变 手征对称性动力学破缺 解禁闭 戴森-施温格方程 手征磁化率
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Two-flavor hybrid stars with the Dyson-Schwinger quark model 被引量:1
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作者 魏金标 陈欢 H.-J.Schulze 《Chinese Physics C》 SCIE CAS CSCD 2017年第11期110-116,共7页
We study the properties of two-flavor quark matter in the Dyson-Schwinger model and investigate the possible consequences for hybrid neutron stars,with particular regard to the two-solar-mass limit.We find that with s... We study the properties of two-flavor quark matter in the Dyson-Schwinger model and investigate the possible consequences for hybrid neutron stars,with particular regard to the two-solar-mass limit.We find that with some extreme values of the model parameters,the mass fraction of two-flavor quark matter in heavy neutron stars can be as high as 30 percent and the possible energy release during the conversion from nucleonic neutron stars to hybrid stars can reach 1052 erg. 展开更多
关键词 hybrid stars quark matter equation of state dyson-schwinger equations
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Exploring the light-quark interaction
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作者 常雷 Ian C. CLOЁT +2 位作者 Bruno El-BENNICH Thomas KLHN Craig D. ROBERTS 《Chinese Physics C》 SCIE CAS CSCD 2009年第12期1189-1196,共8页
Two basic motivations for an upgraded JLab facility are the needs: to determine the essential nature of light-quark confinement and dynamical chiral symmetry breaking (DCSB); and to understand nucleon structure and... Two basic motivations for an upgraded JLab facility are the needs: to determine the essential nature of light-quark confinement and dynamical chiral symmetry breaking (DCSB); and to understand nucleon structure and spectroscopy in terms of QCD's elementary degrees of freedom. During the next ten years a programme of experiment and theory will be conducted that can address these questions. We present a Dyson- Schwinger equation perspective on this effort with numerous illustrations, amongst them: an interpretation of string^breaking; a symmetry-preserving truncation for mesons; the nucleon's strangeness σ-term; and the neutron's charge distribution. 展开更多
关键词 Bethe-Salpeter equations BOUND-STATES CONFINEMENT dynamical chiral symmetry breaking dyson-schwinger equations Faddeev equation nucleon electromagnetic form factors
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Bethe-Salpeter equations: mesons beyond the rainbow-ladder truncation
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作者 Richard Williams Christian S.Fischer 《Chinese Physics C》 SCIE CAS CSCD 2010年第9期1500-1503,共4页
We investigate masses of light mesons from a coupled system of Dyson–Schwinger (DSE) and Bethe– Salpeter equations (BSE),taking into account dominant non-Abelian,sub-leading Abelian,and dominant pion cloud contr... We investigate masses of light mesons from a coupled system of Dyson–Schwinger (DSE) and Bethe– Salpeter equations (BSE),taking into account dominant non-Abelian,sub-leading Abelian,and dominant pion cloud contributions to the dressed quark-gluon vertex.The axial-vector Ward-Takahashi identity preserving Bethe-Salpeter kernel is constructed and the spectrum of light mesons calculated.Our model goes significantly beyond the rainbow-ladder.We find that sub-leading Abelian corrections are further dynamically suppressed,and that our results supersede early qualitative predictions from simple truncation schemes. 展开更多
关键词 dyson-schwinger equations Bethe-Salpeter equations light-mesons beyond rainbow-ladder
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Collective Perspective on Advances in Dyson–Schwinger Equation QCD 被引量:3
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作者 Adnan Bashir Ian C.Clet +2 位作者 Bruno El-Bennich Craig D.Roberts Peter C.Tandy 《Communications in Theoretical Physics》 SCIE CAS CSCD 2012年第7期79-134,共56页
We survey contemporary studies of hadrons and strongly interacting quarks using QCD's Dyson-Schwinger equations, addressing the following aspects: confinement and dynamical chiral symmetry breaking; the hadron spe... We survey contemporary studies of hadrons and strongly interacting quarks using QCD's Dyson-Schwinger equations, addressing the following aspects: confinement and dynamical chiral symmetry breaking; the hadron spectrum; hadron elastic and transition form factors, from small-to large-Q2; parton distribution functions; the physics of hadrons containing one or more heavy quarks; and properties of the quark gluon plasma. 展开更多
关键词 CONFINEMENT dynamical chiral symmetry breaking dyson-schwinger equations hadron spectrum hadron elastic and transition form factors heavy mesons in-hadron condensates parton distribution functions quark gluon plasma UA(1)-problem
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Chiral phase transition from the Dyson-Schwinger equations in a finite spherical volume
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作者 Ya-Peng Zhao Rui-Rui Zhang +1 位作者 Han Zhang Hong-Shi Zong 《Chinese Physics C》 SCIE CAS CSCD 2019年第6期1-5,共5页
Within the framework of the Dyson-Schwinger equations and by means of Multiple Reflection Expansion,we study the effect of finite volume on the chiral phase transition in a sphere, and discuss in particular its influe... Within the framework of the Dyson-Schwinger equations and by means of Multiple Reflection Expansion,we study the effect of finite volume on the chiral phase transition in a sphere, and discuss in particular its influence on the possible location of the critical end point(CEP). According to our calculations, when we take a sphere instead of a cube, the influence of finite volume on phase transition is not as significant as previously calculated. For instance,as the radius of the spherical volume decreases from infinite to 2 fm, the critical temperature T c, at zero chemical potential and finite temperature, drops only slightly. At finite chemical potential and finite temperature, the location of CEP shifts towards smaller temperature and higher chemical potential, but the amplitude of the variation does not exceed 20%. As a result, we find that not only the size of the volume but also its shape have a considerable impact on the phase transition. 展开更多
关键词 FINITE VOLUME effects dyson-schwinger equations CHIRAL PHASE TRANSITION
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Hopf algebras and Dyson-Schwinger equations
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作者 Stefan Weinzierl 《Frontiers of physics》 SCIE CSCD 2016年第3期161-177,共17页
In this paper I discuss Hopf algebras and Dyson-Schwinger equations. This paper starts with an introduction to Hopf algebras, followed by a review of the contribution and application of Hopf algebras to particle physi... In this paper I discuss Hopf algebras and Dyson-Schwinger equations. This paper starts with an introduction to Hopf algebras, followed by a review of the contribution and application of Hopf algebras to particle physics. The final part of the paper is devoted to the relation between Hopf algebras and Dyson-Schwinger equations. 展开更多
关键词 Feynman integrals Hopf algebras dyson-schwinger equations
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Combinatorial Dyson-Schwinger equations and inductive data types
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作者 Joachim Kock 《Frontiers of physics》 SCIE CSCD 2016年第3期179-193,共15页
The goal of this contribution is to explain the analogy between combinatorial Dyson-Schwinger equations and inductive data types to a readership of mathematical physicists. The connection relies on an interpretation o... The goal of this contribution is to explain the analogy between combinatorial Dyson-Schwinger equations and inductive data types to a readership of mathematical physicists. The connection relies on an interpretation of combinatorial Dyson-Schwinger equations as fixpoint equations for polynomial functors (established elsewhere by the author, and summarised here), combined with the now-classical fact that polynomial functors provide semantics for inductive types. The paper is expository, and comprises also a brief introduction to type theory. 展开更多
关键词 dyson-schwinger equations type theory inductive types BIALGEBRAS polynomialfunctors
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Quark-Number Susceptibility at Finite Chemical Potential and Zero Temperature
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作者 何登科 蒋宇 +2 位作者 冯红涛 孙为民 宗红石 《Chinese Physics Letters》 SCIE CAS CSCD 2008年第2期440-443,共4页
We give a direct method for calculating the quark-number susceptibility at finite chemical potential and zero temperature. In this approach the quark-number susceptibility is totally determined by G[μ](p) (the dre... We give a direct method for calculating the quark-number susceptibility at finite chemical potential and zero temperature. In this approach the quark-number susceptibility is totally determined by G[μ](p) (the dressed quark propagator at finite chemical potential μ). By applying the general result in our previous study [Phys. Rev. C 71 (2005) 015205, 034901, 73 (2006) 016004 ] G[μ](p) is calculated from the model quark propagator proposed by Pagels and Stokar [Phys. Rev. D 20 (1979) 2947]. The full analytic expression of the quark-number susceptibility at finite μ and zero T is obtained. 展开更多
关键词 dyson-schwinger equations QUANTUM CHROMODYNAMICS DECAY CONSTANT SELF-ENERGY QCD FLUCTUATION TRANSITION PHYSICS MODEL
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Drawing insights from pion parton distributions
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作者 Minghui Ding Khépani Raya +3 位作者 Daniele Binosi Lei Chang C.D.Roberts S.M.Schmidt 《Chinese Physics C》 SCIE CAS CSCD 2020年第3期12-17,共6页
A symmetry-preserving continuum approach to the two valence-body bound-state problem is used to calculate the valence, glue and sea distributions within the pion; unifying them with, inter alia, electromagnetic pion e... A symmetry-preserving continuum approach to the two valence-body bound-state problem is used to calculate the valence, glue and sea distributions within the pion; unifying them with, inter alia, electromagnetic pion elastic and transition form factors. The analysis reveals the following momentum fractions at the scale ζ2:= 2GeV :〈xvalence〉 = 0.48(3), 〈xglue〉 = 0.41(2), 〈xsea〉 = 0.11(2);and despite hardening induced by the emergent phenomenon of dynamical chiral symmetry breaking, the valence-quark distribution function, qπ(x), exhibits the x ≈ 1 behaviour predicted by quantum chromodynamics(QCD). After evolution to o ζ = 5.2 GeV, the prediction for qπ(x) matches that obtained using lattice-regularised QCD. This confluence should both stimulate improved analyses of existing data and aid in planning efforts to obtain new data on the pion distribution functions. 展开更多
关键词 PION parton distribution bound state dyson-schwinger equations
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Extending the Truncated Dyson-Schwinger Equation to Finite Temperatures
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作者 Sergey M. Dorkin Marco Viebach +1 位作者 Leonid P. Kaptari Burkhard Kämpfer 《Journal of Modern Physics》 2016年第15期2071-2097,共28页
In view of the properties of mesons in hot strongly interacting matter, the properties of the solutions of the truncated Dyson-Schwinger equation for the quark propagator at finite temperatures within the rainbow-ladd... In view of the properties of mesons in hot strongly interacting matter, the properties of the solutions of the truncated Dyson-Schwinger equation for the quark propagator at finite temperatures within the rainbow-ladder approximation are analysed in some detail. In Euclidean space within the Matsubara imaginary time formalism, the quark propagator is not longer a O(4) symmetric function and possesses a discrete spectrum of the fourth component of the momentum. This makes the treatment of the Dyson-Schwinger and Bethe-Salpeter equations conceptually different from the vacuum and technically much more involved. The question whether the interaction kernel known from vacuum calculations can be applied at finite temperatures remains still open. We find that, at low temperatures, the model interaction with vacuum parameters provides a reasonable description of the quark propagator, while at temperatures higher than a certain critical value T<sub>c </sub>the interaction requires stringent modifications. The general properties of the quark propagator at finite temperatures can be inferred from lattice QCD (LQCD) calculations. We argue that, to achieve a reasonable agreement of the model calculations with that from LQCD, the kernel is to be modified in such a way as to screen the infra-red part of the interaction at temperatures larger than T<sub>c </sub>. For this, we analyse the solutions of the truncated Dyson-Schwinger equation with existing interaction kernels in a large temperature range with particular attention on high temperatures in order to find hints to an adequate temperature dependence of the interaction kernel to be further implemented in the Bethe-Salpeter equation for mesons. This will allow investigating the possible in medium modifications of the meson properties as well as the conditions of quark deconfinement in hot matter. 展开更多
关键词 dyson-schwinger Bethe-Salpeter equations Rainbow Ladder Truncation Quark Propagator Chiral Symmetry
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Scalar Susceptibility of QCD from Dyson-Schwinger Approach
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作者 WU Kong-Ping SHI Yuan-Mei +2 位作者 SUN Wei-Min PING Jia-Lun ZONG Hong-Shi 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第1期189-192,共4页
In quantum chromodynamics (QCD), the scalar susceptibility represents the modification of the quark condensate, to a small perturbation of the parameter responsible for the explicit breaking of the symmetry, i.e., t... In quantum chromodynamics (QCD), the scalar susceptibility represents the modification of the quark condensate, to a small perturbation of the parameter responsible for the explicit breaking of the symmetry, i.e., the current quark mass. By studying the linear response of the dressed quark propagator to the presence of a nonzero quark mass, we derive a model-independent formula for the scalar susceptibility, which contains the dressed quark propagator G(p) and the dressed scalar vertex F(p, 0). The numerical values of the scalar susceptibility Xs are calculated within the framework of the rainbow-ladder approximation of the Dyson-Schwinger approach by employing two typical forms of model gluon propagator. 展开更多
关键词 scalar susceptibility explicit and dynamical chiral symmetry breaking dyson-schwinger equations
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Susceptibilities of QCD Vacuum from Renormalized Dyson-Schwinger Equations]
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作者 CHENWei QIShi +1 位作者 SUNWei-Min ZONGHong-Shi 《Communications in Theoretical Physics》 SCIE CAS CSCD 2004年第6期917-920,共4页
The pion and tensor vacuum susceptibilities are calculated in the framework of the renormalizable DysonSchwinger equations. A comparison with the results of other nonperturbative QCD approaches is given.
关键词 QCD vacuum vacuum susceptibility dyson-schwinger equations
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夸克胶子真空凝聚对温度的依赖
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作者 周丽娟 钟红伟 《广西科技大学学报》 CAS 2014年第4期1-4,共4页
基于"彩虹"近似,在有限温度下,求解Dyson-Schwinger方程,计算两夸克真空凝聚、四夸克真空凝聚和夸克胶子混合真空凝聚对温度的依赖关系.这些凝聚值是QCD求和规则的重要输入参数,对阐明QCD结构和强子性质非常重要.计算结果表明... 基于"彩虹"近似,在有限温度下,求解Dyson-Schwinger方程,计算两夸克真空凝聚、四夸克真空凝聚和夸克胶子混合真空凝聚对温度的依赖关系.这些凝聚值是QCD求和规则的重要输入参数,对阐明QCD结构和强子性质非常重要.计算结果表明:在临界温度T_c以上,将会发生手征对称性的恢复,而在临界温度以下,两夸克真空凝聚、四夸克真空凝聚和夸克胶子混合真空凝聚对温度有弱的依赖性. 展开更多
关键词 dysonschwinger方程 手征对称性破缺 夸克胶子真空凝聚
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Dynamical Running Mass of Quark in the Dyson-Schwinger Equation Approach
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作者 MAWei-Xing SHENPeng-Nian 《Communications in Theoretical Physics》 SCIE CAS CSCD 2002年第5期571-576,共6页
Based on the Dyson–Schwinger equations of QCD in the 'rainbow' approximation, the fully dressed quark propagator is investigated, and then an algebraic parametrization form of the propagator is obtained as a... Based on the Dyson–Schwinger equations of QCD in the 'rainbow' approximation, the fully dressed quark propagator is investigated, and then an algebraic parametrization form of the propagator is obtained as a solution of the equations. The dressed quark amplitudes and built up the fully dressed quark propagator and the dynamical running masses defined by and for light quarks u, d and s are calculated, respectively. Using the predicted running masses , quark condensates for u, d quarks, and for s quark, and experimental pion decay constant , the masses of Goldstone bosons K, π, and η are also evaluated. The numerical results show that the masses of quarks are dependent on their momentum . The fully dressed quark amplitudes and have correct behaviors which can be used for many purposes in our future researches on nonperturbative QCD. 展开更多
关键词 dyson-schwinger equations quark propagator quark mass the masses of Goldstone bosons
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非微扰QCD真空中夸克真空凝聚的结构(英文)
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作者 向仟飞 周丽娟 +1 位作者 蒋维洲 马维兴 《原子核物理评论》 CSCD 北大核心 2014年第2期147-151,共5页
基于Dyson-Schwinger方程(DSEs)所确定的夸克传播子和算符成积展开(OPE),在彩虹近似下,预言了QCD真空中非定域夸克真空凝聚的结构。这种结构由夸克自能函数Af和Bf决定,通过数值求解DSEs就可以得到这些自能函数。但是,直接数值求解DSEs... 基于Dyson-Schwinger方程(DSEs)所确定的夸克传播子和算符成积展开(OPE),在彩虹近似下,预言了QCD真空中非定域夸克真空凝聚的结构。这种结构由夸克自能函数Af和Bf决定,通过数值求解DSEs就可以得到这些自能函数。但是,直接数值求解DSEs方程非常复杂,这里采用Roberts和Williams提出的参数化方法,用参数化的夸克传播函数σf v(p2)和σf s(p2)计算夸克自能函数。同时,也计算了定域的夸克真空凝聚值,夸克胶子混合的真空凝聚值,以及夸克的虚度。理论预言和计算结果均与标准QCD求和定则、格点QCD和瞬子模型的理论结果大致相符。和这些模型的结果相比,参数化方法得到的轻夸克(u,d,s)的定域真空凝聚偏大,这主要是由于模型依赖导致的。与u,d夸克相比,s夸克的真空凝聚比较大,这是因为s夸克自身质量较大的缘故。当然,Roberts-Williams参数化的夸克传播子只是一个经验公式,只能近似描述夸克的传播。 展开更多
关键词 夸克真空凝聚 非微扰QCD dyson-schwinger方程
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Gasser-Leutwyler Coefficients of Chiral Lagrangian for Pseudoscalar Goldstone Bosons
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作者 ZHOU Li-Juan WU Qing +3 位作者 PAN Ji-Huan MENG Cheng-Ju MA Wei-Xing LI Xi-Guo 《Communications in Theoretical Physics》 SCIE CAS CSCD 2006年第1X期101-108,共8页
Based on the Dyson-Schwinger equations in raAnbow approximation for quark propagator with an effective gluon propagator, and on the parametrized fully dressed quark propagator proposed by us, the unknown GasserLeutwyl... Based on the Dyson-Schwinger equations in raAnbow approximation for quark propagator with an effective gluon propagator, and on the parametrized fully dressed quark propagator proposed by us, the unknown GasserLeutwyler coeiticients of the chiral Lagrangian for pseudoscalar Goldstone bosons, Li, are predicted respectively. The predicted values of Li in the two different ways are not only in reasonable agreement each other but also in agreement with empirical values used widely in literature and the values predicted by many other theoretical models with QCD characteristics. The compatible results of Gasser-Leutwyler coefficients predicted by our parameterized quark propagator, in turn, clearly verify its extensive validity. 展开更多
关键词 chiral perturbation theory Gasser-Leutwyler coefficient quark propagator dyson-schwinger equations
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Applicability of Parametrized Form of Fully Dressed Quark Propagator
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作者 ZHOU Li-Juan MA Wei-Xing 《Communications in Theoretical Physics》 SCIE CAS CSCD 2006年第4期675-680,共6页
According to extensive study of the Dyson-Schwinger equations for a fully dressed quark propagator in the "rainbow" approximation with an effective gluon propagator, a parametrized fully dressed confining quark prop... According to extensive study of the Dyson-Schwinger equations for a fully dressed quark propagator in the "rainbow" approximation with an effective gluon propagator, a parametrized fully dressed confining quark propagator is suggested in this paper. The parametrized quark propagator describes a confined quark propagation in hadron, and is analytic everywhere in complex p^2-plane and has no Lehmann representation. The vector and scalar self-energy functions [1 - Af(p^2)] and [Bf(p^2) - mf], dynamlcally running effective mass of quark Mf(p^2) and the structure of non-local quark vacuum condensates as well as local quark vacuum condensates are predicted by use of the parametrized quark propagator. The results axe compatible with other theoretical calculations, 展开更多
关键词 quark propagator dyson-schwinger equations non-perturbative QCD
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Dynamical Running Mass of Quark in the Dyson-Schwinger Equation Approach 被引量:1
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作者 MA Wei-Xing SHEN Peng-Nian ZHOU Li-Juan 《Communications in Theoretical Physics》 SCIE CAS CSCD 2002年第11期571-576,共6页
Based on the Dyson-Schwinger equations of QCD in the "rainbow" approximation, the fully dressed quarkpropagator Sf(p) is investigated, and then an algebraic parametrization form of the propagator is obtained... Based on the Dyson-Schwinger equations of QCD in the "rainbow" approximation, the fully dressed quarkpropagator Sf(p) is investigated, and then an algebraic parametrization form of the propagator is obtained as a solutionof the equations. The dressed quark amplitudes Af and Bf built up the fully dressed quark propagator and the dynamicalrunning masses Mf defined by Af and Bf for light quarks u, d and s are calculated, respectively. Using the predictedrunning masses Mf, quark condensates <0|q(0)q(0)|0> = -(0.255 GeV)a for u, d quarks, and <0|s s|0> = 0.8<0|q(0)q(0)]0)for s quark, and experimental pion decay constant fπ = 0.093 GeV, the masses of Goldstone bosons K, π, and η are alsoevaluated. The numerical results show that the masses of quarks are dependent on their momentum p2. The fully dressedquark amplitudes Af and Bf have correct behaviors which can be used for many purposes in our future researches onnonperturbative QCD. 展开更多
关键词 dyson-schwinger equations QUARK propagator QUARK mass the MASSES of Goldstone BOSONS
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Effective charge from lattice QCD
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作者 Z.-F.Cui J.-L.Zhang +7 位作者 D.Binosi F.De Soto C.Mezrag J.Papavassiliou C.D.Roberts J.Rodríguez-Quintero J.Segovia S.Zafeiropoulos 《Chinese Physics C》 SCIE CAS CSCD 2020年第8期23-32,共10页
Using lattice configurations for quantum chromodynamics(QCD)generated with three domain-wall fermions at a physical pion mass,we obtain a parameter-free prediction of QCD’s renormalisation-group-invariant process-ind... Using lattice configurations for quantum chromodynamics(QCD)generated with three domain-wall fermions at a physical pion mass,we obtain a parameter-free prediction of QCD’s renormalisation-group-invariant process-independent effective charge,α^(k2).Owing to the dynamical breaking of scale invariance,evident in the emergence of a gluon mass-scale,m0=0.43(1)GeV,this coupling saturates at infrared momenta:α^(0)/π=0.97(4).Amongst other things:α^(k2)is almost identical to the process-dependent(PD)effective charge defined via the Bjorken sum rule;and also that PD charge which,employed in the one-loop evolution equations,delivers agreement between pion parton distribution functions computed at the hadronic scale and experiment.The diversity of unifying roles played byα^(k^2)suggests that it is a strong candidate for that object which represents the interaction strength in QCD at any given momentum scale;and its properties support a conclusion that QCD is a mathematically well-defined quantum field theory in four dimensions. 展开更多
关键词 running coupling quantum chromodynamics dyson-schwinger equations lattice field theory emer-gence of mass CONFINEMENT
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