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2011年6月7日下午，北京大学百年物理讲坛第三讲在英杰交流中心阳光大厅举行。诺贝尔物理学奖获得者David J. Gross教授应邀做了题为“物理学基础之前沿”的学术报告。报告会由北京大学科维理天文与天体物理研究所所长林潮教授主持。
A solution of the Gross-Witten matrix model by nonlinear random processes
the Gross-Witten matrix model nonlinear random processes
2011/1/6
We illustrate the stochastic method for solving the Schwinger-Dyson equations in large-N quantum field theories described in ArXiv:1009.4033 on the example of the Gross-Witten unitary matrix model. In...
A solution of the Gross-Witten matrix model by nonlinear random processes
the Gross-Witten matrix model nonlinear random processes
2011/1/6
We illustrate the stochastic method for solving the Schwinger-Dyson equations in large-N quantum field theories described in ArXiv:1009.4033 on the example of the Gross-Witten unitary matrix model. In...
Gross-Neveu Models, Nonlinear Dirac Equations, Surfaces and Strings
Gross-Neveu Models Nonlinear Dirac Equations
2010/12/23
Recent studies of the thermodynamic phase diagrams of the Gross-Neveu model (GN2), and its chiral cousin, the NJL2 model, have shown that there are phases with inhomogeneous crystalline condensates. ...
Brezin-Gross-Witten model as "pure gauge" limit of Selberg integrals
Brezin-Gross-Witten model pure gauge Selberg integrals
2010/12/23
The AGT relation identifies the Nekrasov functions for various N=2 SUSY gauge theories with the 2d conformal blocks, which possess explicit Dotsenko-Fateev matrix model (beta-ensemble) representations...
A solution of the Gross-Witten matrix model by nonlinear random processes
the Gross-Witten matrix model nonlinear random processes
2010/12/27
We illustrate the stochastic method for solving the Schwinger-Dyson equations in large-N quantum field theories described in ArXiv:1009.4033 on the example of the Gross-Witten unitary matrix model. I...
A solution of the Gross-Witten matrix model by nonlinear random processes
imulation methods planar approximation lattice field theory random processes
2011/1/14
We illustrate the stochastic method for solving the Schwinger-Dyson equations in large-N quantum field theories described in ArXiv:1009.4033 on the example of the Gross-Witten unitary matrix model.
The Nobel Prize in Physics 2004, David J. Gross, for the discovery of asymptotic freedom in the theory of the strong interaction.
Gross-Neveu模型在零温和有限温度下的变分分析
变分分析 有限温度 零温 Gross-Neveu模型
2009/7/6
利用相干态有效势方法,本文重新研究了Gross-Neveu(GN)模型,对于任意分量N的费米场得到了一个"非平凡"的 "Autonomous"理论.N→∞时,该理论与GN的结果等价. "Autonomous"理论的动力学破缺的对称性将在某个临界度得到恢复,在破缺相元激发的质量仅仅与温度有关而与N无关.
本文在1/N展开下计算了(2+1)维手征Gross-Neveu模型的顶角修正和费米子质量修正,并根据手征Ward-Takahashi恒等式得到的费米子质量公式讨论了1/N阶的相结构.结果表明,利用手征Ward-Takahashi恒等式来研究手征对称性的破缺有利于讨论手征对称性的高阶性质.
本文导出了(2+1)维手征Gross-Neveu模型在有限温度下的手征Ward-Takahashi恒等式.根据手征Ward-Takahashi恒等式讨论有限温度下费米子质量的质量谱.利用费米子的动力学质量为序参量讨论了相结构和手征相变,给出了相变的临界温度.
本文利用含复合场的手征Ward-Takahashi恒等式讨论了(2+1)维手征Gross-Neveu模型的费米子质量和束缚态的谱性质.在最低阶近似下,质量谱与大N展开的结果一致.当手征对称是一种近似的对称性时,得到了轴矢流部分守恒.
本文根据含复合场的Wark-Takahashi恒等式所得到的费米子质量谱,利用虚时温度场论计算了准确到1/N阶的费米子和σ介子的顶角修正,并讨论了顶角函数随温度的变化关系和退耦合相变.结果表明:退耦合相变的临界温度随着零下π介子和费米质量的增大而升高,由热涨落对顶角修正所引起的费米子质量的改变不能忽略.
Numerical Solution of the Two-Dimensional Gross-Pitaevskii Equation for Trapped Interacting Atoms
Numerical Solution Two-Dimensional Gross-Pitaevskii Equation Trapped Interacting Atoms
2010/10/18
We present a numerical scheme for solving the time-independent nonlinear Gross-Pitaevskii equation in two dimensions describing the Bose-Einstein condensate of trapped interacting neutral atoms at zer...
Quark-Antiquark and Diquark Condensates in Vacuum
in a 2D Two-Flavor Gross-Neveu Model
2D Gross-Neveu model quark-antiquark and diquark condensates
effective potential renormalization mean-field approximation
2007/8/15
2007Vol.47No.3pp.520-524DOI:
Quark-Antiquark and Diquark Condensates in Vacuum
in a 2D Two-Flavor Gross-Neveu Model
ZHOU Bang-Rong
College of Physical Sciences, Graduate...