scholarly journals Chiral phase transition of three flavor QCD with nonzero magnetic field using standard staggered fermions

2018 ◽  
Vol 175 ◽  
pp. 07041 ◽  
Author(s):  
Akio Tomiya ◽  
Heng-Tong Ding ◽  
Swagato Mukherjee ◽  
Christian Schmidt ◽  
Xiao-Dan Wang
Keyword(s):  
Magnetic Field ◽  
Phase Transition ◽  
Quark Mass ◽  
Chiral Condensate ◽  
Zero Magnetic Field ◽  
Chiral Phase ◽  
Chiral Phase Transition ◽  
Magnetic Catalysis ◽  
Staggered Fermions ◽  
The Magnetic Field

Lattice simulations for (2+1)-flavor QCD with external magnetic field demon-strated that the quark mass is one of the important parameters responsible for the (inverse) magnetic catalysis. We discuss the dependences of chiral condensates and susceptibilities, the Polyakov loop on the magnetic field and quark mass in three degenerate flavor QCD. The lattice simulations are performed using standard staggered fermions and the plaquette action with spatial sizes Nσ = 16 and 24 and a fixed temporal size Nτ = 4. The value of the quark masses are chosen such that the system undergoes a first order chiral phase transition and crossover with zero magnetic field. We find that in light mass regime, the quark chiral condensate undergoes magnetic catalysis in the whole temperature region and the phase transition tend to become stronger as the magnetic field increases. In crossover regime, deconfinement transition temperature is shifted by the magnetic field when quark mass ma is less than 0:4. The lattice cutoff effects are also discussed.

scholarly journals Meron-cluster simulation of a chiral phase transition with staggered fermions

2000 ◽  
Vol 576 (1-3) ◽  
pp. 481-500 ◽  
Author(s):  
S. Chandrasekharan ◽  
J. Cox ◽  
K. Holland ◽  
U.-J. Wiese
Keyword(s):  
Phase Transition ◽  
Chiral Phase ◽  
Chiral Phase Transition ◽  
Staggered Fermions

scholarly journals Chiral phase transition in QED3 at finite temperature

2016 ◽  
Vol 31 (36) ◽  
pp. 1650198
Author(s):  
Pei-Lin Yin ◽  
Hai-Xiao Xiao ◽  
Wei Wei ◽  
Hong-Tao Feng ◽  
Hong-Shi Zong
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Critical Temperature ◽  
Finite Temperature ◽  
Chiral Symmetry Breaking ◽  
Chiral Condensate ◽  
The Other ◽  
Thermodynamic Quantities ◽  
Chiral Phase ◽  
Chiral Phase Transition

In the framework of Dyson–Schwinger equations, we employ two kinds of criteria (one kind is the chiral condensate, the other kind is thermodynamic quantities, such as the pressure, the entropy, and the specific heat) to investigate the nature of chiral phase transitions in QED3 for different fermion flavors. It is found that the chiral phase transitions in QED3 for different fermion flavors are all typical second-order phase transitions; the critical temperature and order of the chiral phase transition obtained from the chiral condensate and susceptibility are the same with that obtained by the thermodynamic quantities, which means that they are equivalent in describing the chiral phase transition; the critical temperature decreases as the number of fermion flavors increases and there is a boundary that separates the [Formula: see text] plane into chiral symmetry breaking and restoration regions.

scholarly journals QCD Thermodynamics and Magnetization in Nonzero Magnetic Field

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Abdel Nasser Tawfik ◽  
Abdel Magied Diab ◽  
Nada Ezzelarab ◽  
Asmaa G. Shalaby
Keyword(s):  
Magnetic Field ◽  
Phase Transition ◽  
Degrees Of Freedom ◽  
Thermodynamic Quantities ◽  
Magnetic Catalysis ◽  
Hadronic Phase ◽  
Linear Sigma Models ◽  
Quark Phase ◽  
The Magnetic Field ◽  
Paramagnetic Properties

In nonzero magnetic field, the magnetic properties and thermodynamics of the quantum-chromodynamic (QCD) matter are studied in the hadron resonance gas and the Polyakov linear-sigma models and compared with recent lattice calculations. Both models are fairly suited to describe the degrees of freedom in the hadronic phase. The partonic ones are only accessible by the second model. It is found that the QCD matter has paramagnetic properties, which monotonically depend on the temperature and are not affected by the hadron-quark phase transition. Furthermore, raising the magnetic field strength increases the thermodynamic quantities, especially in the hadronic phase, but reduces the critical temperature, that is, inverse magnetic catalysis.

scholarly journals Volume and quark mass dependence of the chiral phase transition

2006 ◽  
Vol 73 (7) ◽  
Author(s):  
J. Braun ◽  
B. Klein ◽  
H.-J. Pirner ◽  
A. H. Rezaeian
Keyword(s):  
Phase Transition ◽  
Quark Mass ◽  
Mass Dependence ◽  
Chiral Phase ◽  
Chiral Phase Transition ◽  
Quark Mass Dependence

scholarly journals Thermo-magnetic nonlocal NJL model in the real and imaginary time formalisms

2017 ◽  
Vol 32 (04) ◽  
pp. 1750027 ◽  
Author(s):  
F. Márquez ◽  
R. Zamora
Keyword(s):  
Magnetic Field ◽  
Phase Transition ◽  
Analytic Structure ◽  
Imaginary Time ◽  
Field Limit ◽  
The Real ◽  
Magnetic Catalysis ◽  
Time Formalism ◽  
Deconfinement Phase Transition ◽  
The Magnetic Field

In this paper, we study a nonlocal Nambu–Jona-Lasinio (nNJL) model with a Gaussian regulator in presence of a uniform magnetic field. We take a mixed approach to the incorporation of temperature in the model, and consider aspects of both real and imaginary time formalisms. We include confinement in the model through the quasiparticle interpretation of the poles of the propagator. By working in the real time formalism and computing the spectral density function, we find that the effect of the magnetic field on the poles of the propagator can be entirely absorbed within the mean field value of the scalar field. The analytic structure of our propagator is then preserved in the weak magnetic field limit. The effect of the magnetic field in the deconfinement phase transition is then studied. It is found that, like with chiral symmetry restoration, magnetic catalysis occurs for the deconfinement phase transition. It is also found that the magnetic field enhances the thermodynamical instability of the system. We work in the weak field limit, i.e. [Formula: see text]. At this level there is no splitting of the critical temperatures for chiral and deconfinement phase transitions.

THE CHIRAL PHASE TRANSITION IN NON-COMPACT LATTICE QED

1994 ◽  
Vol 05 (02) ◽  
pp. 355-357
Author(s):  
P.E.L. RAKOW ◽  
H. STÜBEN ◽  
M. GÖCKELER ◽  
R. HORSLEY ◽  
G. SCHIERHOLZ
Keyword(s):  
Phase Transition ◽  
Size Effects ◽  
Finite Size ◽  
Chiral Condensate ◽  
Meson Mass ◽  
Chiral Phase ◽  
Finite Size Effects ◽  
Chiral Phase Transition ◽  
Mass Ratios ◽  
Compact Lattice

We give a 1993 update of non-compact lattice QED, in particular the chiral condensate, finite size effects and meson mass ratios. We compare descriptions of the phase transition. Our previous conclusions remain valid.

scholarly journals Detecting scale anomaly in chiral phase transition of QCD: new critical endpoint pinned down

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
Mamiya Kawaguchi ◽  
Shinya Matsuzaki ◽  
Akio Tomiya
Keyword(s):  
Magnetic Field ◽  
Phase Transition ◽  
Weak Magnetic Field ◽  
Strange Quark ◽  
Strong Field ◽  
Dense Matter ◽  
Second Order ◽  
Chiral Phase ◽  
Chiral Phase Transition ◽  
Matter System

Abstract Violation of scale symmetry, scale anomaly, being a radical concept in quantum field theory, is of importance to comprehend the vacuum structure of QCD, and should potentially contribute to the chiral phase transition in thermal QCD, as well as the chiral and U(1) axial symmetry. Though it should be essential, direct evidence of scale anomalies has never been observed in the chiral phase transition. We propose a methodology to detect a scale anomaly in the chiral phase transition, which is an electromagnetically induced scale anomaly: apply a weak magnetic field background onto two-flavor massless QCD with an extremely heavy strange quark, first observe the chiral crossover; second, adjusting the strange quark mass to be smaller and smaller, observe the second-order chiral phase transition, and then the first-order one in the massless-three flavor limit. Thus, the second-order chiral phase transition, observed as the evidence of the quantum scale anomaly, is a new critical endpoint. It turns out that this electromagnetic scale anomaly gets most operative in the weak magnetic field regime, rather than a strong field region. We also briefly address accessibility of lattice QCD, a prospected application to dense matter system, and implications to astrophysical observations, such as gravitational wave productions provided from thermomagnetic QCD-like theories.

scholarly journals AMPLIFICATION OF QUANTUM MESON MODES IN THE LATE TIME OF THE CHIRAL PHASE TRANSITION

2007 ◽  
Vol 16 (07n08) ◽  
pp. 2332-2337
Author(s):  
K. WATANABE ◽  
Y. TSUE
Keyword(s):  
Phase Transition ◽  
Time Evolution ◽  
Parametric Resonance ◽  
Forced Oscillation ◽  
Equation Of Motion ◽  
Chiral Condensate ◽  
Small Oscillation ◽  
Late Time ◽  
Chiral Phase ◽  
Chiral Phase Transition

We investigate the time evolution of the quantum meson modes in the late time of chiral phase transition. In particular, it is shown that there exists a possible solution to the equation of motion for the quantum meson modes, which reveals a parametric resonance and/or resonance through forced oscillation induced by the small oscillation of the chiral condensate. After that, we demonstrate the unstable regions for the quantum meson modes in both the cases of a uniform and spatially expanding system.

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