Theβ-functions of the SU(2)Lattice gauge theories with SIN and EXP actions are investigated by means of Monte Carlo renormalization group method(MCRG).Only one ultraviolet fixed point is observed.The finite size effe...Theβ-functions of the SU(2)Lattice gauge theories with SIN and EXP actions are investigated by means of Monte Carlo renormalization group method(MCRG).Only one ultraviolet fixed point is observed.The finite size effect and the connection with the continuum limit are discussed.展开更多
The pure lattice SU(2)gauge theory is studied with a single plaquette EXP action by means of Monte Carlo simulations using a 120 element subgroup.The ratio of the lattice a-parameter to the square root of string tensi...The pure lattice SU(2)gauge theory is studied with a single plaquette EXP action by means of Monte Carlo simulations using a 120 element subgroup.The ratio of the lattice a-parameter to the square root of string tension is(1.02±0.05)×10^(-4),which is much less than that of Wilson's action.But at finite temperatures,the deconfinement transition point is found to be Tq=(210±28)MeV,in good agreement with Wilson's one.展开更多
Recently, there has been great progress in investigating the large-N limit of the SU(N) lattice gauge theories. Eguchi-Kawai claimed that in this limit we could replace the usual standard lattice model by a reduced mo...Recently, there has been great progress in investigating the large-N limit of the SU(N) lattice gauge theories. Eguchi-Kawai claimed that in this limit we could replace the usual standard lattice model by a reduced model which has only one site (one space-time point) with a periodic boundary condition for pure gauge field. The major assumption in their展开更多
Ⅰ. INTRODUCTION Lattice gauge theory provides a very convenient nonperturbative gauge invariant regularization scheme. The usually adopted action in the theory is of Wilson’s form. But actually the form of action is...Ⅰ. INTRODUCTION Lattice gauge theory provides a very convenient nonperturbative gauge invariant regularization scheme. The usually adopted action in the theory is of Wilson’s form. But actually the form of action is not unique, every lattice action seems to be usually acceptable whenever it satisfies four conditions proposed by Wilson. Therefore universality of different acceptable forms of lattice action is required in order to main-展开更多
文摘Theβ-functions of the SU(2)Lattice gauge theories with SIN and EXP actions are investigated by means of Monte Carlo renormalization group method(MCRG).Only one ultraviolet fixed point is observed.The finite size effect and the connection with the continuum limit are discussed.
文摘The pure lattice SU(2)gauge theory is studied with a single plaquette EXP action by means of Monte Carlo simulations using a 120 element subgroup.The ratio of the lattice a-parameter to the square root of string tension is(1.02±0.05)×10^(-4),which is much less than that of Wilson's action.But at finite temperatures,the deconfinement transition point is found to be Tq=(210±28)MeV,in good agreement with Wilson's one.
文摘Recently, there has been great progress in investigating the large-N limit of the SU(N) lattice gauge theories. Eguchi-Kawai claimed that in this limit we could replace the usual standard lattice model by a reduced model which has only one site (one space-time point) with a periodic boundary condition for pure gauge field. The major assumption in their
文摘Ⅰ. INTRODUCTION Lattice gauge theory provides a very convenient nonperturbative gauge invariant regularization scheme. The usually adopted action in the theory is of Wilson’s form. But actually the form of action is not unique, every lattice action seems to be usually acceptable whenever it satisfies four conditions proposed by Wilson. Therefore universality of different acceptable forms of lattice action is required in order to main-
