Published Version
Open DOI LinkAbstract
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
Read more 
Summary
INTRODUCTION
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.
Jacobian
Action
LARGE N SOLUTION
Partition and correlation functions
Free energy and phase structure of UðNÞ model
Free energy and phase structure of SUðNÞ model
SUMMARY
Sign-in/Register to view highlights & summary Full Text
Open DOI Link Sign-in/Register to access full text options Topics from this Paper
Polyakov Loop Models- Non-zero Baryon Chemical Potential
- Polyakov Loop
- Phase Diagram
- Finite Baryon Chemical Potential + Show 5 more
Create a personalized feed of these topics
Get StartedTalk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callSimilar Papers
Evaluating the phase diagram at finite isospin and baryon chemical potentials in the Nambu–Jona-Lasinio model 
Relevant
Not Relevant
Physical Review D
Sep 10, 2010
RelevantNot Relevant QCD phase structure at finite temperature and density RelevantNot Relevant
- Physical Review D
- Mar 24, 2020
RelevantNot Relevant Dual simulation of a Polyakov loop model at finite baryon density: Phase diagram and local observables RelevantNot Relevant
- Nuclear Physics B
- Apr 1, 2021
RelevantNot Relevant Dynamical stabilisation of complex Langevin simulations of QCD RelevantNot Relevant
- The European Physical Journal C
- Jan 7, 2019
RelevantNot Relevant Dynamical stabilisation of complex Langevin simulations of QCD. RelevantNot Relevant
- arXiv: High Energy Physics - Lattice
- Aug 13, 2018
RelevantNot Relevant Chiral phase transition and Schwinger mechanism in a pure electric field RelevantNot Relevant
- Physical Review D
- Jan 13, 2016
RelevantNot Relevant Lattice QCD at Non-Zero Chemical Potential and the Resonance Gas Model RelevantNot Relevant
- Progress of Theoretical Physics Supplement
- Jan 1, 2004
RelevantNot Relevant Lattice QCD at non-zero chemical potential and the resonance gas model RelevantNot Relevant
- arXiv: High Energy Physics - Lattice
- Jan 26, 2004
RelevantNot Relevant The large N limit of SU(N) integrals in lattice models RelevantNot Relevant
- Nuclear Physics B
- Nov 1, 2020
RelevantNot Relevant QCD phase diagram at finite isospin and baryon chemical potentials with the self-consistent mean field approximation * *Supported by National Natural Science Foundation of China (12075117, 11535005, 11775118, 11690030, 11905104) and National Major state Basic Research and Development of China (2016YEF0129300) RelevantNot Relevant
- Chinese Physics C
- Apr 22, 2021
RelevantNot Relevant Phase Diagram at Finite Chemical Potentials in the Nambu–Jona-Lasinio Model RelevantNot Relevant
- Jan 1, 2011
RelevantNot Relevant Effects of quarks on the formation and evolution of Z(3) walls and strings in an effective model near the QCD deconfining transition RelevantNot Relevant
- Physical Review D
- Dec 6, 2012
RelevantNot Relevant Dual Polyakov loop model at finite density: phase diagram and screening masses RelevantNot Relevant
- May 16, 2022
RelevantNot Relevant Holographic black hole engineering at finite baryon chemical potential RelevantNot Relevant
- Journal of Physics: Conference Series
- Mar 1, 2017
RelevantNot RelevantREAD MORE FROMPhysical Review D
Angular momentum balance in gravitational two-body scattering: Flux, memory, and supertranslation invariance 
Open Access
Just PublishedRelevantNot Relevant
Open AccessJust Published- Physical Review D
- Nov 27, 2023
RelevantNot Relevant Confronting self-interacting neutrinos with the full shape of the galaxy power spectrum Just PublishedRelevantNot Relevant
Just Published- Physical Review D
- Nov 27, 2023
RelevantNot Relevant Testing neutrino electromagnetic properties at current and future dark matter experiments Open AccessJust PublishedRelevantNot Relevant
Open AccessJust Published- Physical Review D
- Nov 27, 2023
RelevantNot Relevant Searching for gravitational wave burst in pulsar-timing-array data with piecewise linear functions Just PublishedRelevantNot Relevant
Just Published- Physical Review D
- Nov 27, 2023
RelevantNot Relevant Influence of gravitational waves on quantum multibody states Open AccessJust PublishedRelevantNot Relevant
Open AccessJust Published- Physical Review D
- Nov 27, 2023
RelevantNot Relevant Atmospheric lepton fluxes via two-dimensional matrix cascade equations Open AccessJust PublishedRelevantNot Relevant
Open AccessJust Published- Physical Review D
- Nov 27, 2023
RelevantNot Relevant Inflationary gravitational wave background as a tail effect Open AccessJust PublishedRelevantNot Relevant
Open AccessJust Published- Physical Review D
- Nov 27, 2023
RelevantNot Relevant Parton shower algorithm with the saturation effect Open AccessJust PublishedRelevantNot Relevant
Open AccessJust Published- Physical Review D
- Nov 27, 2023
RelevantNot Relevant Quantum lattice models that preserve continuous translation symmetry Open AccessJust PublishedRelevantNot Relevant
Open AccessJust Published- Physical Review D
- Nov 27, 2023
RelevantNot Relevant Inhomogeneous cosmology using general relativistic smoothed particle hydrodynamics coupled to numerical relativity Open AccessJust PublishedRelevantNot Relevant
Open AccessJust Published- Physical Review D
- Nov 27, 2023
RelevantNot Relevant