scholarly journals Phase diagram of QCD at finite temperature and chemical potential from lattice simulations with dynamical Wilson quarks

2005 ◽  
Vol 72 (3) ◽  
Author(s):  
He-Sheng Chen ◽  
Xiang-Qian Luo
Keyword(s):  
Phase Diagram ◽  
Finite Temperature ◽  
Chemical Potential ◽  
Phase Diagram Of Qcd

Monte Carlo Study of Lattice QCD with Wilson fermions at Finite Temperature and Chemical Potential

2007 ◽  
Vol 22 (07n10) ◽  
pp. 529-536
Author(s):  
He-Sheng Chen ◽  
Xiang-Qian Luo
Keyword(s):  
Phase Transition ◽  
Phase Diagram ◽  
Monte Carlo ◽  
Finite Temperature ◽  
Large Scale ◽  
Chemical Potential ◽  
Phase Diagram Of Qcd ◽  
Monte Carlo Study ◽  
Potential Method ◽  
Transition Line

In this paper, we studied the phase diagram of QCD at finite temperature T and chemical potential μ with 4 flavor Wilson quarks. The calculations are performed on a 83 × 4 lattice using the imaginary chemical potential method. This method allows us to do large scale Monte Carlo simulations at imaginary chemical potential μ = iμI with μI < πT/3. By analytic continuation to the real chemical potential, the phase transition line on the (μ, T) plane can be determined.

scholarly journals Imaginary Chemical Potential, NJL-Type Model and Confinement–Deconfinement Transition

Symmetry ◽  
2019 ◽  
Vol 11 (4) ◽  
pp. 562 ◽  
Author(s):  
Kouji Kashiwa
Keyword(s):  
Phase Diagram ◽  
Finite Temperature ◽  
Crucial Role ◽  
Chemical Potential ◽  
Type Model ◽  
Qcd Phase Diagram

In this review, we present of an overview of several interesting properties of QCD at finite imaginary chemical potential and those applications to exploring the QCD phase diagram. The most important properties of QCD at a finite imaginary chemical potential are the Roberge–Weiss periodicity and the transition. We summarize how these properties play a crucial role in understanding QCD properties at finite temperature and density. This review covers several topics in the investigation of the QCD phase diagram based on the imaginary chemical potential.

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 Status of Complex Langevin

2018 ◽  
Vol 175 ◽  
pp. 01019 ◽  
Author(s):  
Erhard Seiler
Keyword(s):  
Phase Diagram ◽  
Chemical Potential ◽  
Phase Diagram Of Qcd ◽  
Complex Action ◽  
Existing Problems ◽  
Baryonic Chemical Potential ◽  
Open Questions ◽  
The Status ◽  
Mathematical Justification ◽  
Pragmatic Measures

I review the status of the Complex Langevin method, which was invented to make simulations of models with complex action feasible. I discuss the mathematical justification of the procedure, as well as its limitations and open questions. Various pragmatic measures for dealing with the existing problems are described. Finally I report on the progress in the application of the method to QCD, with the goal of determining the phase diagram of QCD as a function of temperature and baryonic chemical potential.

PHASE DIAGRAM OF THE THREE DIMENSIONAL FOUR FERMI MODEL WITH FINITE N CORRECTIONS

2007 ◽  
Vol 16 (09) ◽  
pp. 2802-2805 ◽  
Author(s):  
JEAN-LOÏC KNEUR ◽  
MARCUS BENGHI PINTO ◽  
RUDNEI O. RAMOS ◽  
EDERSON STAUDT
Keyword(s):  
Phase Diagram ◽  
Free Energy ◽  
Perturbation Theory ◽  
Finite Temperature ◽  
Chemical Potential ◽  
Three Dimensional ◽  
Fermi Model ◽  
Analytical Results ◽  
Theory Technique ◽  
Gross Neveu Model

We study the phase diagram of the 3d massless Gross–Neveu model with different numbers of fermionic species, N. Using the Optimized Perturbation Theory technique, the free energy is evaluated at finite temperature and chemical potential. The analytical results allow us to calculate critical quantities for any value of N and, in the present work, we choose de values N = 1,3,4,10. In addition, we determine the evolution of the tricritical points, in the temperature versus chemical potential plane for these different values of N.

scholarly journals A study of QCD at finite density using complex Langevin dynamics

2017 ◽  
Author(s):  
◽  
Felipe Attanasio ◽  
Keyword(s):  
Phase Diagram ◽  
Chemical Potential ◽  
Sampling Methods ◽  
Phase Diagram Of Qcd ◽  
Finite Density ◽  
Boltzmann Weight ◽  
Numerical Studies ◽  
Dynamic Stabilisation ◽  
Sign Problem ◽  
Standard Tool

Numerical simulations are a standard tool to investigate field theories in non-perturbative regimes. Typical algorithms used to evaluate path integrals in Euclidean space rely on importance sampling methods; i.e., a probabilistic interpretation of the Boltzmann weight eS. However, many theories of interest suffer from the infamous sign problem: the action is complex and the Boltzmann weight cannot be used as a probability distribution. Complex Langevin simulations allow numerical studies of theories that exhibit the sign problem, such as QCD at finite density. In this thesis, we study methods to investigate the phase diagram of QCD in the temperature{chemical potential plane, using the complex Langevin method. We provide results on the phase diagram for the heavy-denseapproximation of QCD (HDQCD) for three spatial volumes, using complex Langevin and the gauge cooling technique. We also present polynomial fits of the critical temperature as function of the chemical potential for each volume. Subsequently, we discuss instabilities encountered during this study, which motivated a novel technique, named Dynamic Stabilisation, which will be introduced and the theoretical ideas behind it, explained. Dynamic stabilisation was, then, used in an investigation of the dependency of the critical chemical potential on the hopping parameter. The two previous studies were used to guide a second examination of the HDQCD phase diagram, focussed around the phase boundary. Lastly, we present preliminary results on the phase diagram of QCD with fully dynamical quarks at high temperatures. This shows that complex Langevin, augmented with gauge cooling and dynamic stabilisation, is suited for investigating QCD at finite chemical potential.

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