Gross-Witten-Wadia transition in a matrix model of deconfinement

Matrix Theory Black Holes and the Gross Witten Transition

Large N gauge theories have so called Gross-Witten phase transitions which typically can occur in finite volume systems. In this paper we relate these transitions in supersymmetric gauge theories to transitions that take place between black hole solutions in general relativity. The correspondence between gauge theory and gravitation is through matrix theory which represents the gravitational sy...

Deconfinement transition in a one–dimensional model

We present a model for quark matter with a density dependent quark– quark (confining) potential, which allows to describe a deconfinement phase transition as the system evolves from a low density assembly of bound structures to a high density free Fermi gas of quarks. A proper account of the many–body correlations induced by the medium is crucial in order to disentangle this behaviour, which do...

Unitary matrix integrals in the framework of Generalized Kontsevich Model 1 . Brezin - Gross - Witten Model

We advocate a new approach to the study of unitary matrix models in external fields which emphasizes their relationship to Generalized Kontsevich Models (GKM) with non-polynomial potentials. For example, we show that the partition function of the Brezin-Gross-Witten Model (BGWM), which is defined as an integral over unitary N ×N matrices, ∫ [dU ]eTr(J†U+JU†), can also be considered as a GKM wit...

Renormalized Polyakov Loops, Matrix Models and the Gross-witten Point

The values of renormalized Polyakov loops in the three lowest representations of SU(3) were measured numerically on the lattice. We find that in magnitude, condensates respect the large-N property of factorization. In several ways, the deconfining phase transition for N = 3 appears to be like that in the N = ∞ matrix model of Gross and Witten. Surprisingly, we find that the values of the renorm...

Deconfinement Phase Transition in QCD