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R^(1+1)中Maxwell-Chern-Simons-Higgs模型解的L^(∞)估计
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作者 金广辉 周羽 《吉林大学学报(理学版)》 CAS 北大核心 2024年第1期49-54,共6页
用能量守恒估计和特征线估计的方法解决(1+1)维Maxwell-Chern-Simons-Higgs模型解的Sobolev范数增长性估计问题,给出模型有限能量解的一阶导数的L^(∞)估计,并通过改进指数增长得到解的H^(2)范数的多项式增长.
关键词 CHERN-SIMONS理论 规范不变性 特征线估计 L∞估计 H2范数增长
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规范场与纤维丛:它的内容,方法和意义 被引量:1
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作者 赵松年 路博 +1 位作者 陈肯 黄旭 《物理学进展》 北大核心 2023年第1期10-24,共15页
从本质上讲,规范场是物理学中(量子场论,基本粒子理论)重要的研究领域(1979年、1999年和2004年共有六位物理学家获得诺贝尔奖,他们的研究工作直接或间接与规范场有关),而纤维丛则是数学中(微分几何、群论、李代数)的热门课题(1986年唐... 从本质上讲,规范场是物理学中(量子场论,基本粒子理论)重要的研究领域(1979年、1999年和2004年共有六位物理学家获得诺贝尔奖,他们的研究工作直接或间接与规范场有关),而纤维丛则是数学中(微分几何、群论、李代数)的热门课题(1986年唐纳森因研究纤维丛获得菲尔茨奖)。近年来,对杨–米尔斯方程、纤维丛和规范场的研究正在深入开展,因此,本文着重从物理概念出发,分别论述规范场在量子场论中,纤维丛在微分几何中相关概念的形成、发展,以及与杨–米尔斯方程之间的关系,特别是从电磁场、弱力和强力的统一方面,显示了规范场的重要性和深远意义,为了使更多的相关专业读者能在这一重要的领域中迅速获得必要的专业知识,产生探索和创新的热情,在综述中对阿贝尔规范场到非阿贝尔规范场,以及对称性自发破缺的基本概念和处理方法,进行了详细的论述,特别是初步探讨了杨–米尔斯方程的空间属性,目的是希望能更好地将规范场、纤维丛这二者与杨–米尔斯方程联系起来,加深对纤维丛的联络在更深层次的了解,由于这类问题是一个有意义的研究方向,值得有志者去深入探索。 展开更多
关键词 纤维丛 规范场 联络 转动群 对称性 不变性
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磁单极的三世三生——本科生硕士生博士生层面的磁单极精讲 被引量:3
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作者 徐湛 《物理与工程》 2015年第2期12-18,共7页
磁单极是在科学文献和科普读物中经常可以见到的名词.本文从电磁学、电动力学、电-磁对偶性、规范不变性、各向同性的矢量势、量子力学、纤维丛理论、非阿贝尔规范场论、规范对称性自发破缺、孤子、暴胀宇宙论等几个不同的层面,回顾了... 磁单极是在科学文献和科普读物中经常可以见到的名词.本文从电磁学、电动力学、电-磁对偶性、规范不变性、各向同性的矢量势、量子力学、纤维丛理论、非阿贝尔规范场论、规范对称性自发破缺、孤子、暴胀宇宙论等几个不同的层面,回顾了人们对磁单极认识的逐步提高过程.在这个过程中,磁单极不断地以新的面貌再生,但是在现实世界中搜寻磁单极子的工作仍然任重道远. 展开更多
关键词 电-磁对偶性 规范不变性 奇异弦 纤维丛 磁荷量子化 非阿贝尔规范场 对称性自发破缺 孤子
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纤维丛、规范场和杨-米尔斯方程之间的类比--学科融合研究的一条途径 被引量:2
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作者 赵松年 路博 +1 位作者 陈肯 黄旭 《大学物理》 2022年第6期16-25,共10页
现在,规范场是物理学中重要的研究领域,而纤维丛则是数学中的热门课题.从本质上讲,就是杨-米尔斯方程将规范场与纤维丛二者联系起来,成为它们的理论的发端.本文着重从物理概念出发,分别论述规范场在物理学中、纤维丛在微分几何中相关概... 现在,规范场是物理学中重要的研究领域,而纤维丛则是数学中的热门课题.从本质上讲,就是杨-米尔斯方程将规范场与纤维丛二者联系起来,成为它们的理论的发端.本文着重从物理概念出发,分别论述规范场在物理学中、纤维丛在微分几何中相关概念的形成、发展,以及其与杨-米尔斯方程之间的关系,以使更多的相关专业读者能在这一重要的领域中产生探索和创新的热情,进行深入的研究,促进它在物理、数学和相互交叉课题中取得进展.特别是通过矢量势的旋度运算给出杨-米尔斯方程的一种新的数学表达形式,阐明了它的空间属性,由此能更好地将这三者联系起来,可以加深对纤维丛的联络在更深层次的了解,由于此类问题是一个新的研究方向,值得有志者去深入探索. 展开更多
关键词 纤维丛 规范场 联络 转动群 对称性 不变性
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规范不变性与电荷守恒的关系 被引量:2
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作者 李永平 贺金玉 《德州学院学报》 2001年第2期28-31,共4页
本文在经典电磁理论和非相对论量子力学范围内 ,论述规范不变性与电荷守恒的关系 .
关键词 规范变换 规范不变性 电荷守恒 电磁理论 非相对量子力学
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平面引力波能量密度的规范不变性 被引量:1
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作者 王友棠 《上海交通大学学报》 EI CAS CSCD 北大核心 1991年第5期43-49,共7页
本文在线性与严格平面引力波情况下,讨论了不同的引力场能量动量表达式所定义的能量密度的引力规范不变性问题,并指出这两种情况仅为协变无迹能量、动量、张量给出规范不变的能量密度.
关键词 引力场 规范不变性 能量密度
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均匀磁场中带电粒子量子运动的规范不变性 被引量:1
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作者 刘树坤 李永平 《德州学院学报》 2001年第4期25-28,共4页
论述了均匀磁场中带电粒子量子运动电磁势、可观测量算符和波函数的规范不变性 .可观测量算符必面具有算符规范不变性 ,对同一力学量完全集而言 ,任意两个规范间电磁势和波函数相差的因子是一致的 .
关键词 均匀磁场 规范变换 规范不变性 带电粒子 量子运动 电磁场 量子力学
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再论规范不变性与电荷守恒的关系 被引量:1
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作者 李永平 贺金玉 《德州学院学报》 2001年第4期36-38,共3页
在量子场论范围内 ,讨论了规范不变性与电荷守恒的关系 ,得出了电荷守恒是带电场具有U(1 )整体规范不变性的结果 ,电磁场是自然界具有U(1 )局域规范不变相互作用的体现 .
关键词 规范变换 规范不变性 电荷守恒 电磁场 量子场论
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Majorana零偏压量子化电导的规范不变性 被引量:1
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作者 罗运文 《大学物理》 2020年第7期8-9,15,共3页
从规范不变性出发,利用电子与空穴散射对称性,推导出Majorana零偏压量子化电导平台的值为2 e 2/h,得到的结果与现有理论相同,表明出现Majorana零偏压量子化电导平台的本质原因是规范不变性.
关键词 Majorana费米子 规范不变性 量子化电导
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Photoproduction reactionγn→K^(*0)∧in an effective Lagrangian approach
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作者 Neng-Chang Wei Yi-Ming Zhu Fei Huang 《Chinese Physics C》 SCIE CAS CSCD 2022年第2期57-61,共5页
In our previous work[Phys.Rev.C 101,014003(2020)],the photoproduction reactionγp→K^(*+)Λwas investigated within an effective Lagrangian approach.The reaction amplitudes were constructed by including the t-channel K... In our previous work[Phys.Rev.C 101,014003(2020)],the photoproduction reactionγp→K^(*+)Λwas investigated within an effective Lagrangian approach.The reaction amplitudes were constructed by including the t-channel K,K^(*),and k exchanges,u-channelΛ,∑,and∑^(*)exchanges,s-channel N,N(2000)5/2^(+),and N(2060)5/2^(-)exchanges,and interaction current.The data on the differential cross sections and spin density matrix elements were described simultaneously.In this study,we investigate the photoproduction reactionγn→K^(*0)Λbased on the same reaction mechanism as that ofγp→K^(*+)Λto obtain a unified description of the data forγp→K^(*+)Λandγn→K^(*0)Λwithin the same model.All hadronic coupling constants,form factor cutoffs,and the resonance masses and widths in the present calculations remain the same as in our previous work forγp→K^(*+)Λ.The available differential cross-section data forγn→K^(*0)Λare well reproduced.Further analysis shows that the cross sections ofγn→K^(*0)Λare dominated by the contributions of the t-channel K exchange,while the s-channel N(2000)5/2+and N(2060)5/2-exchanges also provide considerable contributions. 展开更多
关键词 PHOTOPRODUCTION effective Lagrangian approach gauge invariance
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Local PoincaréSymmetry in Gauge Theory of Gravity
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作者 MA Jian-Feng MA Yong-Ge 《Communications in Theoretical Physics》 SCIE CAS CSCD 2009年第5期843-844,共2页
It is well known that the Poincaré gauge theories of gravity do not have the structure of a standard gauge theory. Nevertheless, we show that a general form of action for the gravitational gauge fields in the gau... It is well known that the Poincaré gauge theories of gravity do not have the structure of a standard gauge theory. Nevertheless, we show that a general form of action for the gravitational gauge fields in the gauge theory does possess local Poincaré invariance. 展开更多
关键词 Poincaré gauge theory translation invariance Lorentz invariance
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Relativistic Gauge Invariant Wave Equation of the Electron-Neutrino
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作者 Claude Daviau Jacques Bertrand 《Journal of Modern Physics》 2014年第11期1001-1022,共22页
With the right and the left waves of an electron, plus the left wave of its neutrino, we write the tensorial densities coming from all associations of these three spinors. We recover the wave equation of the electro-w... With the right and the left waves of an electron, plus the left wave of its neutrino, we write the tensorial densities coming from all associations of these three spinors. We recover the wave equation of the electro-weak theory. A new non linear mass term comes out. The wave equation is form invariant, then relativistic invariant, and it is gauge invariant under the U(1)×SU(2), Lie group of electro-weak interactions. The invariant form of the wave equation has the Lagrangian density as real scalar part. One of the real equations equivalent to the invariant form is the law of conservation of the total current. 展开更多
关键词 invariance Group Dirac Equation Weak Interactions gauge invariance Electron NEUTRINO CLIFFORD ALGEBRAS Magnetic MONOPOLE
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用导数展开法求解QGP动力论方程时的规范自洽性
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作者 金猛 《华中师范大学学报(自然科学版)》 CAS CSCD 北大核心 2001年第2期167-171,共5页
夸克胶子等离子体的动力论方程是非线性非阿贝尔的 ,用一般方法很难求解 .导数展开法是求解非线性方程的一种有效方法 ,但动力论方程是规范不变的 ,要求导数展开法也要不破坏规范不变性 .本文证明 ,虽然导数展开法在逐级展开中破坏了规... 夸克胶子等离子体的动力论方程是非线性非阿贝尔的 ,用一般方法很难求解 .导数展开法是求解非线性方程的一种有效方法 ,但动力论方程是规范不变的 ,要求导数展开法也要不破坏规范不变性 .本文证明 ,虽然导数展开法在逐级展开中破坏了规范不变性 ,但由各阶的和所得的物理结果是规范不变的 . 展开更多
关键词 夸克胶子等离子体 动力论方程 导数展开法 规范不变性 非线性方程 热力学平衡态
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Nucleon internal structure: a new set of quark, gluon momentum, angular momentum operators and parton distribution functions
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作者 王凡 陈相松 +2 位作者 吕晓夫 孙为民 T. Goldman 《Chinese Physics C》 SCIE CAS CSCD 2009年第12期1197-1204,共8页
It is unavoidable to deal with the quark and gluon momentum and angular momentum contributions to the nucleon momentum and spin in the study of nucleon internal structure. However we never have the quark and gluon mom... It is unavoidable to deal with the quark and gluon momentum and angular momentum contributions to the nucleon momentum and spin in the study of nucleon internal structure. However we never have the quark and gluon momentum, orbital angular momentum and gluon spin operators which satisfy both the gauge invariance and the canonical momentum and angular momentum commutation relation. The conflicts between the gauge invariance and canonical quantization requirement of these operators are discussed. A new set of quark and gluon momentum, orbital angular momentum and spin operators, which satisfy both the gauge invariance and canonical momentum and angular momentum commutation relation, are proposed. The key point to achieve such a proper decomposition is to separate the gauge field into the pure gauge and the gauge covariant parts. The same conflicts also exist in QED and quantum mechanics and have been solved in the same manner. The impacts of this new decomposition to the nucleon internal structure are discussed. 展开更多
关键词 nucleon internal structure quark-gluon momentum and angular momentum canonical commutation relation gauge invariance
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Reverse Engineering Approach to Quantum Electrodynamics
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作者 Walter Smilga 《Journal of Modern Physics》 2013年第5期561-571,共11页
The S matrix of e-e scattering has the structure of a projection operator that projects incoming separable product states onto entangled two-electron states. In this projection operator the empirical value of the fine... The S matrix of e-e scattering has the structure of a projection operator that projects incoming separable product states onto entangled two-electron states. In this projection operator the empirical value of the fine-structure constant α acts as a normalization factor. When the structure of the two-particle state space is known, a theoretical value of the normalization factor can be calculated. For an irreducible two-particle representation of the Poincaré group, the calculated normalization factor matches Wyler’s semi-empirical formula for the fine-structure constant α. The empirical value of α, therefore, provides experimental evidence that the state space of two interacting electrons belongs to an irreducible two-particle representation of the Poincaré group. 展开更多
关键词 Quantum ELECTRODYNAMICS FINE-STRUCTURE Constant ENTANGLEMENT gauge invariance Reverse Engineering
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Simple formula for the ionization rate of diatomic molecules in an intense laser field using the velocity gauge
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作者 唐增华 李永庆 马凤才 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第8期429-433,共5页
We derive a general ionization rate formula for the system of diatomic molecules in the velocity gauge. A more concise expression of the photoionization rate in the tunnel region is obtained for the first time. Compar... We derive a general ionization rate formula for the system of diatomic molecules in the velocity gauge. A more concise expression of the photoionization rate in the tunnel region is obtained for the first time. Comparisons are made among the different versions of strong-field approximation. The numerical study shows that the ionization rate in the velocity gauge is underestimated by a few orders compared with that in the length gauge. Our simple formula of ionization rate may provide an insight into the ionization mechanism for the system of diatomic molecules. 展开更多
关键词 strong-field approximation gauge invariance tunnel ionization
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一个重要的物理量——电磁势
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作者 黄怀湘 《雁北师范学院学报》 2001年第6期25-27,共3页
该文从麦氏方程出发 ,说明电磁势的引入使得电磁场方程容易求解 ,可以看出产生新时空观念的必要性 。
关键词 电磁势 规范不变 干涉 量子 相位
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GAUGE-HIGGS系统在格点规范理论中的研究
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作者 李文雄 《石家庄铁道学院学报》 1992年第4期34-37,共4页
本文简要概述了格点规范理论的特点及成果,主要讨论了GAUGE-HIC-GS格点系统的研究现状,提出了建立新的解析方法的要求,并对任意维Z(N)GAUGE-Z(M)HIGGS格点系统进行了极限分析。
关键词 格点问题 规范不变性
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Gauge Invariant Massive Long Range and Long Lived Photons
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作者 Golden Gadzirayi Nyambuya 《Journal of Modern Physics》 2014年第17期1902-1909,共8页
Prevailing and conventional wisdom holds that intermediate gauge Bosons for long range interactions such as the gravitational and electromagnetic interactions must be massless as is assumed to be the case for the phot... Prevailing and conventional wisdom holds that intermediate gauge Bosons for long range interactions such as the gravitational and electromagnetic interactions must be massless as is assumed to be the case for the photon which mediates the electromagnetic interaction. We have argued in a different reading that it should in-principle be possible to have massive photons. The problem of whether or not these photons will lead to short or long range interactions has not been answered. Naturally, because these photons are massive, one would without much pondering and excogitation on the matter assume that these photons can only take part in short range interactions. Contrary to this and to conventional wisdom;via a subtlety—namely, the foregoing of the Lorenz gauge and in line with ideas set out in out proposed Unified Field Theory, the introduction of a vector potential whose components are 4 ×?4 Hermitian matrices;we show within the confines of Proca Electrodynamics under the said modifications that massive photons should be long lived (i.e., stable) and be able to take part in long range interactions without any problem. 展开更多
关键词 gauge invariance MASSIVE Photon Proca ELECTRODYNAMICS Unified Field Theory
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Deformed Gauge Invariance with Massive Gauge Vector Bosons
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作者 Dao Vong Duc Nguyen Mong Giao Tran Thanh Dung 《Journal of Modern Physics》 2017年第1期82-86,共5页
We consider the concept of deformed gauge invariance. The described formalism allows the vector gauge bosons to be massive independently of Higgs mechanism. It also allows the possibility for the variability of gauge ... We consider the concept of deformed gauge invariance. The described formalism allows the vector gauge bosons to be massive independently of Higgs mechanism. It also allows the possibility for the variability of gauge coupling constants in space-time. 展开更多
关键词 gauge invariance VECTOR BOSON Mass
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