A variational-cumulant expansion method at finite temperature is developed in the lattice gauge theory.The order parameter<L>(the statistical average of the thermal loop)is analytically calculated to the 3rd ord...A variational-cumulant expansion method at finite temperature is developed in the lattice gauge theory.The order parameter<L>(the statistical average of the thermal loop)is analytically calculated to the 3rd order cumulant expansion.The change of<L>=0 to<L>≠0 clearly shows the existence of a deconfine phase transition of 2nd order in agreement with the latest Monte Carlo simulations.展开更多
The hadronic vacuum polarization correction to the photon propagator is found by using the Dubnicka-Meshcheryakov parametrization of the pion form factor and new experimental data on the e^(+)e^(-)→hadrons anniKilati...The hadronic vacuum polarization correction to the photon propagator is found by using the Dubnicka-Meshcheryakov parametrization of the pion form factor and new experimental data on the e^(+)e^(-)→hadrons anniKilation cross section.展开更多
In the investigation of the planar approximation to the non-abelian lattice gauge field theory it is instructive to first treat the 'zero dimension' models, e.g., the matrix models. One-matrix model and two-ma...In the investigation of the planar approximation to the non-abelian lattice gauge field theory it is instructive to first treat the 'zero dimension' models, e.g., the matrix models. One-matrix model and two-matrix model have been solved exactly in the large N limit. Sakita has applied the Feynman variational method to the one-ma-trix model, and Guha has applied it to the two-matrix model. Their results展开更多
基金The work was supported by the National Science Fund of China.
文摘A variational-cumulant expansion method at finite temperature is developed in the lattice gauge theory.The order parameter<L>(the statistical average of the thermal loop)is analytically calculated to the 3rd order cumulant expansion.The change of<L>=0 to<L>≠0 clearly shows the existence of a deconfine phase transition of 2nd order in agreement with the latest Monte Carlo simulations.
文摘The hadronic vacuum polarization correction to the photon propagator is found by using the Dubnicka-Meshcheryakov parametrization of the pion form factor and new experimental data on the e^(+)e^(-)→hadrons anniKilation cross section.
基金Supported in part by the U. S. Department of Energy under Contract DE-AC02-76ER 03130.A012-Task Aby the Science Foundation of Academia Sinica
文摘In the investigation of the planar approximation to the non-abelian lattice gauge field theory it is instructive to first treat the 'zero dimension' models, e.g., the matrix models. One-matrix model and two-matrix model have been solved exactly in the large N limit. Sakita has applied the Feynman variational method to the one-ma-trix model, and Guha has applied it to the two-matrix model. Their results
