Analysis of finite temperature phase transition using level spacing

Abstract

Let B be the largest spacing between adjacent eigenvalues of the Polyakov loop. We propose to employ the distribution of B as an order parameter for the finite temperature phase transition in SU(N) lattice gauge theories. Using smeared links to reduce ultraviolet fluctuations, we carry out a test for the gauge group SU(3).

Comments: 3 pages, 6 figures, contribution to Lattice 2003 (Non-zero V)