scholarly journals Non-Abelian anomalous constitutive relations of a chiral hadronic fluid

2022 ◽  
Vol 258 ◽  
pp. 10006
Author(s):  
Juan L. Mañes ◽  
Eugenio Megías ◽  
Manuel Valle ◽  
Miguel Á. Vázquez-Mozo
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Constitutive Relations ◽  
Leading Order ◽  
First Order ◽  
Quark Flavors ◽  
Analytical Expressions ◽  
Symmetric Phase

We study the constitutive relations of a chiral hadronic fluid in presence of non-Abelian’t Hooft anomalies. Analytical expressions for the covariant currents are obtained at first order in derivatives in the chiral symmetric phase, for both two and three quark flavors in the presence of chiral imbalance. We also investigate the constitutive relations after chiral symmetry breaking at the leading order.

scholarly journals APPROACH TO D-DIMENSIONAL GROSS–NEVEU MODEL AT FINITE TEMPERATURE AND CURVATURE

1996 ◽  
Vol 11 (10) ◽  
pp. 785-793 ◽  
Author(s):  
SHINYA KANEMURA ◽  
HARU-TADA SATO
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Effective Potential ◽  
Finite Temperature ◽  
Phase Structure ◽  
Critical Line ◽  
Chiral Symmetry Breaking ◽  
Leading Order ◽  
Third Order ◽  
Gross Neveu Model

We discuss phase structure of chiral symmetry breaking of the D-dimensional (2≤D≤3) Gross–Neveu model at finite temperature, density and constant curvature. We evaluate the effective potential in a weak background approximation to thermalize the model as well as in the leading order of the 1/N-expansion. A third-order critical line is observed similarly to the D=2 case.

scholarly journals Supersymmetric Nambu–Jona-Lasinio Model in an External Gravitational Field

1997 ◽  
Vol 12 (30) ◽  
pp. 2271-2277 ◽  
Author(s):  
I. L. Buchbinder ◽  
T. Inagaki ◽  
S. D. Odintsov
Keyword(s):  
Gravitational Field ◽  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Effective Potential ◽  
Chiral Symmetry Breaking ◽  
Leading Order ◽  
Gravitational Fields ◽  
External Gravitational Field ◽  
Njl Model ◽  
Curvature Approximation

We investigate the effect of an external gravitational fields to the chiral symmetry breaking in the supersymmetric (SUSY) Nambu–Jona-Lasinio (NJL) model coupled to gravity in a non-supersymmetric way. Evaluating the effective potential in the leading order of the 1/Nc-expansion and in the linear curvature approximation, it is possible to have the chiral symmetry breaking in the SUSY NJL model in an external gravitational fields. In the broken phase the dynamically generated mass is analytically and numerically calculated.

scholarly journals SOFTLY BROKEN N=2 QCD WITH MASSIVE QUARK HYPERMULTIPLETS, II

1998 ◽  
Vol 13 (11) ◽  
pp. 1847-1880 ◽  
Author(s):  
LUIS ÁLVAREZ-GAUMÉ ◽  
MARCOS MARIÑO ◽  
FREDERIC ZAMORA
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Pion Mass ◽  
Elliptic Functions ◽  
Numerical Control ◽  
Massive Quark ◽  
First Order ◽  
Quark Masses ◽  
First Order Phase

We analyze the vacuum structure of N=2, SU(2) QCD with massive quark hypermultiplets, once supersymmetry is softly broken down to N=0 with dilaton and mass spurions. We give general expressions for the low energy couplings of the effective potential in terms of elliptic functions to have a complete numerical control of the model. We study in detail the possible phases of the theories with Nf=1,2 flavors for different values of the bare quark masses and the supersymmetry breaking parameters and we find a rich structure of first order phase transitions. The chiral symmetry breaking pattern of the Nf=2 theory is considered, and we obtain the pion Lagrangian for this model up to two derivatives. Exact expressions are given for the pion mass and Fπ in terms of the magnetic monopole description of chiral symmetry breaking.

CRITICAL LINE AND BETHE-SALPETER EQUATION IN STRONG-COUPLING QED WITH FOUR-FERMION INTERACTIONS

1989 ◽  
Vol 04 (07) ◽  
pp. 605-612 ◽  
Author(s):  
M. INOUE ◽  
T. MUTA ◽  
T. OCHIUMI
Keyword(s):  
Symmetry Breaking ◽  
Strong Coupling ◽  
Chiral Symmetry ◽  
Quantum Electrodynamics ◽  
Phase Structure ◽  
Bound States ◽  
Critical Line ◽  
Chiral Symmetry Breaking ◽  
Electron Positron ◽  
Symmetric Phase

On the basis of Bethe-Salpeter equations for electron-positron bound states in strong-coupling quantum electrodynamics with additional four-fermion interactions, the formula for the critical line dividing the chiral-symmetry-breaking phase from the symmetric phase is derived. The beta functions near the critical line are calculated explicitly and the phase structure is discussed based on these beta functions.

scholarly journals Fate of false vacua in holographic first-order phase transitions

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Francesco Bigazzi ◽  
Alessio Caddeo ◽  
Aldo L. Cotrone ◽  
Angel Paredes
Keyword(s):  
Phase Transitions ◽  
Chiral Symmetry ◽  
Metastable Phase ◽  
Chiral Symmetry Breaking ◽  
Model Parameters ◽  
Temperature Phase ◽  
Thin Wall ◽  
Critical Temperatures ◽  
First Order ◽  
First Order Phase

Abstract Using the holographic correspondence as a tool, we study the dynamics of first-order phase transitions in strongly coupled gauge theories at finite temperature. Considering an evolution from the large to the small temperature phase, we compute the nucleation rate of bubbles of true vacuum in the metastable phase. For this purpose, we find the relevant configurations (bounces) interpolating between the vacua and we compute the related effective actions. We start by revisiting the compact Randall-Sundrum model at high temperature. Using holographic renormalization, we compute the derivative term in the effective bounce action, that was missing in the literature. Then, we address the full problem within the top-down Witten-Sakai-Sugimoto model. It displays both a confinement/deconfinement and a chiral symmetry breaking/restoration phase transition which, depending on the model parameters, can happen at different critical temperatures. For the confinement/deconfinement case we perform the numerical analysis of an effective description of the transition and also provide analytic expressions using thick and thin wall approximations. For the chiral symmetry transition, we implement a variational approach that allows us to address the challenging non-linear problem stemming from the Dirac-Born-Infeld action.

scholarly journals A Possible Resolution to Troubles of SU(2) Center Vortex Detection in Smooth Lattice Configurations

Universe ◽  
2021 ◽  
Vol 7 (5) ◽  
pp. 122
Author(s):  
Rudolf Golubich ◽  
Manfried Faber
Keyword(s):  
Symmetry Breaking ◽  
Quantum Chromodynamics ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Vortex Model ◽  
Center Vortex ◽  
Vortex Detection

The center vortex model of quantum-chromodynamics can explain confinement and chiral symmetry breaking. We present a possible resolution for problems of the vortex detection in smooth configurations and discuss improvements for the detection of center vortices.

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