Analysis of finite temperature phase transition using level spacing
F.Berruto, R.Narayanan, H.Neuberger
TL;DR
This paper introduces a novel method for detecting finite temperature phase transitions in SU(N) lattice gauge theories by analyzing the distribution of the largest eigenvalue spacing of the Polyakov loop, demonstrated on SU(3).
Contribution
It proposes using the distribution of the largest eigenvalue spacing as an order parameter, providing a new approach to study phase transitions in lattice gauge theories.
Findings
Distribution of B effectively signals phase transition.
Method reduces ultraviolet noise with smeared links.
Tested successfully on SU(3) gauge group.
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).
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