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.

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.

NEUTRAL PION PHOTOPRODUCTION ON THE PROTON AND THE CLOUDY-BAG MODEL

1992 ◽  
Vol 07 (21) ◽  
pp. 5231-5244
Author(s):  
A.N. TABACHENKO
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Electric Dipole ◽  
Neutral Pion ◽  
Chiral Symmetry Breaking ◽  
Pion Photoproduction ◽  
Additional Contribution ◽  
Bag Model ◽  
Neutral Pions ◽  
Quark Masses

In the cloudy-bag model, the value of the electric dipole amplitude of the photoproduction of neutral pions off protons at threshold connected with the additional contribution from the chiral symmetry breaking interaction is evaluated. If this additional contribution is included in the amplitude of the photoproduction of neutral pions off protons at threshold, the discrepancy between the LET predictions and the measured value of the electric dipole amplitude [Formula: see text] can be resolved for the values of quark masses and bag radii which are close to the generally used values.

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.

Dynamical chiral-symmetry breaking and determination of the quark masses

1988 ◽  
Vol 38 (1) ◽  
pp. 238-278 ◽  
Author(s):  
A. Barducci ◽  
R. Casalbuoni ◽  
S. De Curtis ◽  
D. Dominici ◽  
R. Gatto
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Dynamical Chiral Symmetry Breaking ◽  
Quark Masses

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.

Sign in / Sign up

Export Citation Format

Share Document