scholarly journals Polyakov loop models in the large N limit: Phase diagram at finite density

2022 ◽  
Vol 105 (1) ◽  
Author(s):  
O. Borisenko ◽  
V. Chelnokov ◽  
S. Voloshyn
Keyword(s):  
Phase Diagram ◽  
Polyakov Loop ◽  
Finite Density ◽  
Large N

PHASE DIAGRAM AND ORTHOGONAL POLYNOMIALS IN MULTIPLE-WELL MATRIX MODELS

1991 ◽  
Vol 06 (25) ◽  
pp. 4491-4515 ◽  
Author(s):  
OLAF LECHTENFELD ◽  
RASHMI RAY ◽  
ARUP RAY
Keyword(s):  
Phase Diagram ◽  
Orthogonal Polynomials ◽  
Matrix Models ◽  
Matrix Model ◽  
Phase Structure ◽  
Saddle Points ◽  
Tree Level ◽  
Potential Wells ◽  
Large N

We investigate a zero-dimensional Hermitian one-matrix model in a triple-well potential. Its tree-level phase structure is analyzed semiclassically as well as in the framework of orthogonal polynomials. Some multiple-arc eigenvalue distributions in the first method correspond to quasiperiodic large-N behavior of recursion coefficients for the second. We further establish this connection between the two approaches by finding three-arc saddle points from orthogonal polynomials. The latter require a modification for nondegenerate potential minima; we propose weighing the average over potential wells.

scholarly journals Spectrum of QCD at Finite Isospin Density

2018 ◽  
Vol 175 ◽  
pp. 07042 ◽  
Author(s):  
Philipp Scior ◽  
Lorenz von Smekal ◽  
Dominik Smith
Keyword(s):  
Phase Diagram ◽  
Low Temperature ◽  
Temperature Region ◽  
Chemical Potential ◽  
Phase Diagram Of Qcd ◽  
Baryon Density ◽  
Polyakov Loop ◽  
High Chemical ◽  
Pion Condensation

We study the phase diagram of QCD at finite isospin density using two flavors of staggered quarks. We investigate the low temperature region of the phase diagram where we find a pion condensation phase at high chemical potential. We started a basic analysis of the spectrum at finite isospin density. In particular, we measured pion, rho and nucleon masses inside and outside of the pion condensation phase. In agreement with previous studies in two-color QCD at finite baryon density we find that the Polyakov loop does not depend on the density in the staggered formulation.

scholarly journals Analytic Results in (2+1)-Dimensional Finite Temperature LGT

1997 ◽  
Vol 12 (32) ◽  
pp. 5753-5766 ◽  
Author(s):  
M. Billó ◽  
M. Caselle ◽  
A. D'Adda
Keyword(s):  
Monte Carlo ◽  
Effective Action ◽  
Finite Temperature ◽  
Mean Field ◽  
Polyakov Loop ◽  
Critical Coupling ◽  
Dimensional Theory ◽  
Field Techniques ◽  
Large N ◽  
Good Agreement

In a (2 + 1)-dimensional pure LGT at finite temperature the critical coupling for the deconfinement transition scales as βc(nt) = Jcnt + a1, where nt is the number of links in the "timelike" direction of the symmetric lattice. We study the effective action for the Polyakov loop obtained by neglecting the spacelike plaquettes, and we are able to compute analytically in this context the coefficient a1 for any SU(N) gauge group; the value of Jc is instead obtained from the effective action by means of (improved) mean field techniques. Both coefficients have already been calculated in the large N limit in a previous paper. The results are in very good agreement with the existing Monte Carlo simulations. This fact supports the conjecture that, in the (2 + 1)-dimensional theory, spacelike plaquettes have little influence on the dynamics of the Polyakov loops in the deconfined phase.

scholarly journals Exploring the phase diagram of finite density QCD at low temperature by the complex Langevin method

2019 ◽  
Author(s):  
Yuta Ito ◽  
Hideo Matsufuru ◽  
Jun Nishimura ◽  
Shinji Shimasaki ◽  
Asato Tsuchiya ◽  
...  
Keyword(s):  
Phase Diagram ◽  
Low Temperature ◽  
Finite Density

scholarly journals Flavor broken QCD3 at large N

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Andrew Baumgartner
Keyword(s):  
Phase Diagram ◽  
Critical Points ◽  
First Order ◽  
Vacuum Structure ◽  
Large N

Abstract We examine the vacuum structure of QCD3 with flavor group U (f)×U (Nf−f) in the limit N → ∞ with g2N =fixed. We find that, generically, the resolution of critical points into a series of first order pahse transitions persists at special locations in the phase diagram. In particular, the number of Grassmannians that one traverses and their locations in the phase diagram is a function of f.

QCD phase diagram in the Polyakov loop SU(2) Nambu—Jona-Lasinio model

2016 ◽  
Vol 186 (4) ◽  
pp. 387-403 ◽  
Author(s):  
Yurii L. Kalinovsky ◽  
V.D. Toneev ◽  
Aleksandra V. Friesen
Keyword(s):  
Phase Diagram ◽  
Polyakov Loop ◽  
Qcd Phase Diagram

scholarly journals Pion condensation and phase diagram in the Polyakov-loop quark-meson model

2018 ◽  
Vol 98 (7) ◽  
Author(s):  
Prabal Adhikari ◽  
Jens O. Andersen ◽  
Patrick Kneschke
Keyword(s):  
Phase Diagram ◽  
Polyakov Loop ◽  
Pion Condensation

scholarly journals EFFECTS OF MODEL PARAMETERS IN THERMODYNAMICS OF THE PNJL MODEL

2012 ◽  
Vol 27 (03n04) ◽  
pp. 1250013 ◽  
Author(s):  
A. V. FRIESEN ◽  
YU. L. KALINOVSKY ◽  
V. D. TONEEV
Keyword(s):  
Phase Diagram ◽  
Thermodynamic Properties ◽  
Effective Potential ◽  
Chemical Potential ◽  
Dense Matter ◽  
Polyakov Loop ◽  
Model Parameters ◽  
Lattice Data ◽  
Data Set ◽  
Pnjl Model

The thermodynamic behavior of the two-flavor (Nf = 2) three-color (Nc = 3) Polyakov-loop-extended Nambu–Jona-Lasinio (PNJL) model at the finite chemical potential is investigated. New lattice gluon data for gluon thermodynamics are used defining the effective potential within polynomial and logarithmic forms of its approximation. We study the effects of using different sets of data and different forms of the potential on thermodynamic properties of hot and dense matter. It is found that the PNJL thermodynamics depends stronger on the form of the effective potential than on the used lattice data set. Particular attention is paid to the phase diagram in the (T, μ) plane.

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