The deconfinement phase transition in Yang-Mills theory with general Lie group G

TL;DR

This paper investigates the deconfinement phase transition in various Yang-Mills theories with different Lie groups, providing numerical results for specific cases and conjecturing about the transition's nature across general groups.

Contribution

It offers the first numerical analysis of the transition in Sp(2) and Sp(3) theories and proposes a conjecture on the transition's order for a wide class of Lie groups.

Findings

Numerical results for Sp(2) and Sp(3) in 2+1 and 3+1 dimensions.

A conjecture on the phase transition order for general Lie groups.

Insights into the universality of the deconfinement transition.

Abstract

We present numerical results for the deconfinement phase transition in Sp(2) and Sp(3) Yang-Mills theories in (2+1)-D and (3+1)-D. We then make a conjecture on the order of this phase transition in Yang-Mills theories with general Lie groups G = SU(N), SO(N), Sp(N) and with exceptional groups G = G(2), F(4), E(6), E(7), E(8).