Abstract
The 't Hooft-Veneziano limit of various U(N) and SU(N) Polyakov loop models is constructed at finite temperature and non-zero baryon chemical potential. In this paper we calculate the free energy, its derivatives, the Polyakov loop expectation values and the baryon density. The phase diagram is described in details.
Highlights
In this and a subsequent paper, we study the lattice models whose partition function can be written as ZY ZGðN; NfÞ 1⁄4dUðxÞ exp1⁄2SðTrUðxÞ; TrU†ðxÞÞ; ð1ÞGx where U ∈ G 1⁄4 UðNÞ; SUðNÞ
We have studied the ’t Hooft-Veneziano limit of some Polyakov loop models both at zero and finite chemical potential
Using this representation we studied phase transitions in UðNÞ and SUðNÞ models for very general actions involving fundamental characters of the Polyakov loop
Summary
In this and a subsequent paper, we study the lattice models whose partition function can be written as ZY. Models of type (1) can be regarded as effective Polyakov loop models describing lattice gauge theory (LGT) at finite temperatures and nonzero chemical potentials. Studied via Monte-Carlo simulations [7,8] These models can be used to investigate different aspects of the large N behavior of finite-temperature LGTs [9,10,11,12,13,14]. It describes the interaction between Polyakov loops TrUðxÞ at finite temperature and in the presence of Nf heavy degenerate quark flavors.
Sign-in/Register to view highlights & summary 
Published Version (
Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call