scholarly journals Low μ and imaginary μ signals of a critical point in the phase diagram of an exactly soluble chiral symmetry breaking theory

2020 ◽  
Vol 102 (4) ◽  
Author(s):  
Nick Evans ◽  
M. J. Russell
Keyword(s):  
Phase Diagram ◽  
Symmetry Breaking ◽  
Critical Point ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking

Determine the critical fermion flavor in three-dimensional QED using nonlocal gauge

2014 ◽  
Vol 29 (33) ◽  
pp. 1450159
Author(s):  
Hua Jiang ◽  
Yong-Long Wang ◽  
Wei-Tao Lu ◽  
Chuan-Cong Wang
Keyword(s):  
Symmetry Breaking ◽  
Critical Point ◽  
Chiral Symmetry ◽  
Gauge Boson ◽  
Quantum Electrodynamics ◽  
Chiral Symmetry Breaking ◽  
Three Dimensional ◽  
Gauge Parameter ◽  
Dynamical Chiral Symmetry Breaking

We determine the critical fermion flavor for dynamical chiral symmetry breaking in three-dimensional quantum electrodynamics using nonlocal gauge (gauge parameter depends on the momentum or coordinate). The coupled Dyson–Schwinger equations of the fermion and gauge boson propagators are considered in the vicinity of the critical point. Illustrated by using the transverse vertex proposed by Bashir et al., we show that: for a variety of the transverse vertex, the critical flavor is still 128/3π2, the same as using the bare vertex.

scholarly journals Phase transitions for SU(N) gauge theories with arbitrary number of flavors

2015 ◽  
Vol 30 (34) ◽  
pp. 1550203 ◽  
Author(s):  
Renata Jora
Keyword(s):  
Phase Diagram ◽  
Phase Transitions ◽  
Gauge Theory ◽  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Gauge Theories ◽  
Chiral Symmetry Breaking ◽  
Small Region ◽  
New Phase ◽  
Strong Confinement

We study the phase diagram of an [Formula: see text] gauge theory in terms of the number of colors [Formula: see text] and flavors [Formula: see text] with emphasis on the confinement and chiral symmetry breaking phases. We argue that as opposed to SUSY QCD there is a small region in the [Formula: see text] plane where the theory has the chiral symmetry broken but it is unconfined. The possibility of a new phase with strong confinement and chiral symmetry breaking is suggested.

scholarly journals Dense Baryonic Matter and Applications of QCD Phase Diagram Dualities

Particles ◽  
2020 ◽  
Vol 3 (1) ◽  
pp. 62-79 ◽  
Author(s):  
Tamaz G. Khunjua ◽  
Konstantin G. Klimenko ◽  
Roman N. Zhokhov
Keyword(s):  
Phase Diagram ◽  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Phase Structure ◽  
Chiral Symmetry Breaking ◽  
Pion Mass ◽  
Baryon Density ◽  
Persistent Problem ◽  
Pion Condensation ◽  
Qcd Phase Diagram

Recently it has been found that quantum chromodynamics (QCD) phase diagram possesses a duality between chiral symmetry breaking and pion condensation. For the first time this was revealed in the QCD motivated toy model. Then it was demonstrated in effective models as well and new additional dualities being found. We briefly recap the main features of this story and then discuss its applications as a tool to explore the QCD phase structure. The most appealing application is the possibility of getting the results on the QCD phase diagram at large baryon density. Taking the idea from large 1 / N c universalities it was argued that the scenario of circumventing the sign problem with the help of dualities seems plausible. It is also discussed that there is a persistent problem about whether there should be catalysis or anti-catalysis of chiral symmetry breaking by chiral imbalance. One can probably say that the issue is settled after lattice results (first principle approach), where the catalysis was observed. But they used an unphysically large pion mass so it is still interesting to get additional indications that this is the case. It is shown just by the duality property that there exists catalysis of chiral symmetry breaking. So, having in mind our results and the earlier lattice simulations, one can probably claim that this issue is settled. It is demonstrated that the duality can be used to obtain new results. As an example, it is showcased how the phase structure of dense quark matter with chiral imbalance (with possibility of inhomogeneous phases) can be obtained from the knowledge of a QCD phase diagram with isopin asymmetry.

Chiral symmetry-breaking and scaling properties of (2 + 1)-dimensional QED with four-fermion interactions

1993 ◽  
Vol 71 (7-8) ◽  
pp. 398-402
Author(s):  
Sin Kyu Kang ◽  
Jae Kwan Kim
Keyword(s):  
Phase Diagram ◽  
Equation Of State ◽  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Quantum Electrodynamics ◽  
Anomalous Dimension ◽  
Chiral Symmetry Breaking ◽  
Scaling Properties ◽  
Fundamental Scale ◽  
Breaking Scale

We study the chiral symmetry-breaking (2 + 1)-dimensional quantum electrodynamics with four-fermion interactions. Solving the Dyson–Schwinger equation with a boundary condition identical to an equation of state, we determine the phase diagram of this model and obtain a large anomalous dimension of the operator [Formula: see text]. By substituting a. symmetry-breaking solution in the equation of state, we find the critical exponents and show that they satisfy the hyperscaling laws. Some comments are given on the equation of hierarchy between the chiral symmetry-breaking scale and the fundamental scale in our model.

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