In the coherent thermal state representation we introduce thermal Wigner operator and find that it is'squeezed' under the thermal transformation. The thermal Wigner operator provides us with a new direct and n...In the coherent thermal state representation we introduce thermal Wigner operator and find that it is'squeezed' under the thermal transformation. The thermal Wigner operator provides us with a new direct and neatapproach for deriving Wigner functions of thermal states.展开更多
We study the random motion of a charged test particle with a normal classical constant velocity in a spacetime with a perfectly reflecting plane boundary and calculate both the velocity and position dispersions of the...We study the random motion of a charged test particle with a normal classical constant velocity in a spacetime with a perfectly reflecting plane boundary and calculate both the velocity and position dispersions of the test particle. Our results show that the dispersions in the normal direction are weakened while those in the parallel directions are strengthened as compared to the classical static case when the test particle classically moves away from the boundary. However, if the classical motion reverses its direction, then the dispersions in the normal direction are reinforced while those in the parallel directions get weakened.展开更多
We study the Lifshitz type extension of the standard model(SM) at the UV, with dynamical critical exponent z = 3. One loop radiative corrections to the Higgs mass in such a model are calculated. Our result shows that,...We study the Lifshitz type extension of the standard model(SM) at the UV, with dynamical critical exponent z = 3. One loop radiative corrections to the Higgs mass in such a model are calculated. Our result shows that,the Hierarchy problem, which has initiated many excellent extension of the minimal SM, may be weakened in the z = 3 Lifshitz type quantum field theory.展开更多
The gauged linear sigma model （GLSM for short） is a 2d quantum field theory introduced by Witten twenty years ago. Since then, it has been investigated extensively in physics by Hori and others. Recently, an algebro...The gauged linear sigma model （GLSM for short） is a 2d quantum field theory introduced by Witten twenty years ago. Since then, it has been investigated extensively in physics by Hori and others. Recently, an algebro-geometric theory （for both abelian and nonabelian GLSMs） was developed by the author and his collaborators so that he can start to rigorously compute its invariants and check against physical predications. The abelian GLSM was relatively better understood and is the focus of current mathematical investigation. In this article, the author would like to look over the horizon and consider the nonabelian GLSM. The nonabelian case possesses some new features unavailable to the ahelian GLSM. To aid the future mathematical development, the author surveys some of the key problems inspired by physics in the nonabelian GLSM.展开更多
By virtue of the parabose squeezed operator, propagator of a parabose parametric amplifier, explicit forms of parabose squeezed number states and normalization factors of excitation states on a parabose squeezed vacuu...By virtue of the parabose squeezed operator, propagator of a parabose parametric amplifier, explicit forms of parabose squeezed number states and normalization factors of excitation states on a parabose squeezed vacuum state are calculated, which generalize the relevant results from ordinary Bose statistics to the parabose case.展开更多
A relativistic quantum field theory is presented for finite density problems based on the principle of locality. It is shown that, in addition to the conventional ones, a local approach to the relativistic quantum fie...A relativistic quantum field theory is presented for finite density problems based on the principle of locality. It is shown that, in addition to the conventional ones, a local approach to the relativistic quantum field theories at both zero and finite densities consistent with the violation of Bell-like inequalities should contain and provide solutions to at least three additional problems, namely, i) the statistical gauge invariance; ii) the dark components of the local observables; and iii) the fermion statistical blocking effects, based upon an asymptotic nonthermal ensemble. An application to models is presented to show the importance of the discussions.展开更多
Stanley Deser教授1953年在哈佛大学获得博士学位，他的导师为Julian Schwinger。在作博士后研究时，他曾先后获得国家科学基金和古根海姆研究基金资助。1959年他开始在布兰代斯大学任教，现在是该校的Ancell物理教授。他曾获得斯德哥...Stanley Deser教授1953年在哈佛大学获得博士学位，他的导师为Julian Schwinger。在作博士后研究时，他曾先后获得国家科学基金和古根海姆研究基金资助。1959年他开始在布兰代斯大学任教，现在是该校的Ancell物理教授。他曾获得斯德哥尔摩大学和Chalmers技术学院的荣誉学位，并且是美国艺术与科学院以及国家科学院的成员，还是都灵科学院的外国名誉成员。Stanley教授对量子场理论做了重要的研究工作，主要研究目标是引力理论。展开更多
In this paper, we investigate effects of the minimal length on the Schwinger mechanism using the quantum field theory （QFT） incorporating the minimal length. We first study the Schwinger mechanism for scalar fields ...In this paper, we investigate effects of the minimal length on the Schwinger mechanism using the quantum field theory （QFT） incorporating the minimal length. We first study the Schwinger mechanism for scalar fields in both usual QFT and the deformed QFT. The same calculations are then performed in the case of Dirac particles. Finally, we discuss how our results imply for the corrections to the Unruh temperature and the Hawking temperature due to the minimal length.展开更多
The transverse Ward-Takahashi(W-T) realtion for the Vector vertex in quantum filed theory is derived by calculation the coul of the time-ordered product of the three-point function inclduing the vector current operato...The transverse Ward-Takahashi(W-T) realtion for the Vector vertex in quantum filed theory is derived by calculation the coul of the time-ordered product of the three-point function inclduing the vector current operator.This provides the constraint on the transverse part of the vertex.By combining the transverse and normal (longitudinal)W-T identities,we obtain the expression for the full vector vertex function.展开更多
By solving rigorously the relativistic wave equations derived from Bargmann–Wigner equation for arbitrary spin, the relativistic wavefunctions in momentum representation for particles with arbitrary spin are deduced.
文摘In the coherent thermal state representation we introduce thermal Wigner operator and find that it is'squeezed' under the thermal transformation. The thermal Wigner operator provides us with a new direct and neatapproach for deriving Wigner functions of thermal states.
基金The project supported by the National Natural Science Foundation of China under Grant No. 10575035
文摘We study the random motion of a charged test particle with a normal classical constant velocity in a spacetime with a perfectly reflecting plane boundary and calculate both the velocity and position dispersions of the test particle. Our results show that the dispersions in the normal direction are weakened while those in the parallel directions are strengthened as compared to the classical static case when the test particle classically moves away from the boundary. However, if the classical motion reverses its direction, then the dispersions in the normal direction are reinforced while those in the parallel directions get weakened.
基金Supported by the National Natural Science Foundation of China
文摘We study the Lifshitz type extension of the standard model(SM) at the UV, with dynamical critical exponent z = 3. One loop radiative corrections to the Higgs mass in such a model are calculated. Our result shows that,the Hierarchy problem, which has initiated many excellent extension of the minimal SM, may be weakened in the z = 3 Lifshitz type quantum field theory.
基金supported by the Natural Science Foundation(Nos.DMS 1159265,DMS 1405245)
文摘The gauged linear sigma model （GLSM for short） is a 2d quantum field theory introduced by Witten twenty years ago. Since then, it has been investigated extensively in physics by Hori and others. Recently, an algebro-geometric theory （for both abelian and nonabelian GLSMs） was developed by the author and his collaborators so that he can start to rigorously compute its invariants and check against physical predications. The abelian GLSM was relatively better understood and is the focus of current mathematical investigation. In this article, the author would like to look over the horizon and consider the nonabelian GLSM. The nonabelian case possesses some new features unavailable to the ahelian GLSM. To aid the future mathematical development, the author surveys some of the key problems inspired by physics in the nonabelian GLSM.
文摘By virtue of the parabose squeezed operator, propagator of a parabose parametric amplifier, explicit forms of parabose squeezed number states and normalization factors of excitation states on a parabose squeezed vacuum state are calculated, which generalize the relevant results from ordinary Bose statistics to the parabose case.
文摘A relativistic quantum field theory is presented for finite density problems based on the principle of locality. It is shown that, in addition to the conventional ones, a local approach to the relativistic quantum field theories at both zero and finite densities consistent with the violation of Bell-like inequalities should contain and provide solutions to at least three additional problems, namely, i) the statistical gauge invariance; ii) the dark components of the local observables; and iii) the fermion statistical blocking effects, based upon an asymptotic nonthermal ensemble. An application to models is presented to show the importance of the discussions.
基金Supported by National Natural Science Foundation of China under Grant Nos.11005016,11175039,and 11375121the Fundamental Research Funds for the Central Universities
文摘In this paper, we investigate effects of the minimal length on the Schwinger mechanism using the quantum field theory （QFT） incorporating the minimal length. We first study the Schwinger mechanism for scalar fields in both usual QFT and the deformed QFT. The same calculations are then performed in the case of Dirac particles. Finally, we discuss how our results imply for the corrections to the Unruh temperature and the Hawking temperature due to the minimal length.
文摘The transverse Ward-Takahashi(W-T) realtion for the Vector vertex in quantum filed theory is derived by calculation the coul of the time-ordered product of the three-point function inclduing the vector current operator.This provides the constraint on the transverse part of the vertex.By combining the transverse and normal (longitudinal)W-T identities,we obtain the expression for the full vector vertex function.
基金国家自然科学基金，Doctoral Program Founda-tion of Institution of Higher Education of China，国家重点实验室基金，国家重点实验室基金
文摘By solving rigorously the relativistic wave equations derived from Bargmann–Wigner equation for arbitrary spin, the relativistic wavefunctions in momentum representation for particles with arbitrary spin are deduced.
