Numerical Study of Langevin Equation in Twisted Eguchi-Kawai Model: Distribution of Eigenvalues of the Plaquette Matrix

摘要

The Langevin equation for the lattice theory with arbitrary gauge group is derived. The four-dimensional twisted Eguchi-Kawai model is investigated numerically. The results for the plaquette energy agree with those of the known Monte Carlo calculations. The new result is the distribution of eigenvalues of the plaquette matrix. In the strong coupling phase this distribution is smooth, whereas in the weak coupling phase a gap is clearly seen. (Atomindex citation 15:042349)