Latent heat of the largeNfinite temperature phase transition

Abstract

Reduced large N gauge theories have a phase with unbroken center symmetry and phases in which that symmetry is broken for Polyakov loops in one or more lattice directions. The phase with unbroken symmetry is associated with the zero temperature, infinite volume, infinite N theory while the phase in which the symmetry is broken in just one lattice direction has been conjectured to be the spatial reduction of the high temperature, infinite volume, infinite N theory. Measurements of the scaling properties of the latent heat of the transition between these phases test that hypothesis.The results indicate a non-zero latent heat in the continuum limit. Substantial finite spacing effects remain, and finer lattices will be needed to confirm physical scaling.

Computation of the string tension in four-dimensional Yang–Mills theory using large N reduction

“…For sufficiently large b, the center symmetry breaks in one lattice direction, and reduction no longer holds in that direction. This is the large N limit of the finite temperature phase transition [3,12] . For 6 4 it occurs at about b = 0.3515.…”

A survey of large N continuum phase transitions

“…The deconfinement transition is first order and the latent heat has been measured through the jump in the internal energy. The latent heat is found to be δ ε ≈ 0.26N 2 ε SB 0 0.5 1 1.5 2 2.5 3 ξ where ε SB is the blackbody energy density per massless vector particle [34]. Critical sizes associated with the 1c-2c, 2c-3c and 3c-4c transition have not been determined yet.…”

Gregory-Laflamme as the confinement/deconfinement transition in holographic QCD

“…There is a confinement/deconfinement transition at an intermediate temperature. From studies in large N lattice gauge theories, this is expected to be a first order phase transition [19,20,21,22].…”

“…By comparing this classical action with (6) 20 , we can estimate that the GL transition will happen around…”