scholarly journals Disoriented chiral condensate dynamics with the SU(3) linear sigma model

1999 ◽  
Vol 59 (6) ◽  
pp. 3329-3342 ◽  
Author(s):  
Jürgen Schaffner-Bielich ◽  
Jørgen Randrup
Keyword(s):  
Sigma Model ◽  
Chiral Condensate ◽  
Linear Sigma Model ◽  
Disoriented Chiral Condensate

scholarly journals Perturbative RG Analysis of the Condensate Dependence of the Axial Anomaly in the Three-Flavor Linear Sigma Model

Symmetry ◽  
2021 ◽  
Vol 13 (3) ◽  
pp. 488
Author(s):  
Gergely Fejős
Keyword(s):  
Perturbation Theory ◽  
Low Temperatures ◽  
Sigma Model ◽  
Chiral Condensate ◽  
Linear Sigma Model ◽  
Zero Temperature ◽  
Renormalization Group Flow ◽  
Axial Anomaly ◽  
Field Dependent ◽  
Group Flow

Coupling of ‘t Hooft’s determinant term is investigated in the framework of the three-flavor linear sigma model as a function of the chiral condensate. Using perturbation theory around the minimum point of the effective action, we calculate the renormalization group flow of the first field-dependent correction to the coupling of the conventional UA(1) breaking determinant term. It is found that, at low temperatures, mesonic fluctuations make the anomaly increase when the chiral condensate decreases. As an application, we analyze the effect at the zero temperature nuclear liquid–gas transition.

scholarly journals Quark-hadron phase structure of QCD matter from SU(4) Polyakov linear sigma model

2018 ◽  
Vol 177 ◽  
pp. 09005 ◽  
Author(s):  
Abdel Magied Abdel Aal DIAB ◽  
Abdel Nasser TAWFIK
Keyword(s):  
Phase Transition ◽  
Strange Quark ◽  
Sigma Model ◽  
Chiral Condensate ◽  
Linear Sigma Model ◽  
Charm Quarks ◽  
Qcd Phase Transition ◽  
Hadron Phase ◽  
Chemical Potentials ◽  
Good Agreement

The SU(4) Polyakov linear sigma model (PLSM) is extended towards characterizing the chiral condensates, σl, σs and σc of light, strange and charm quarks, respectively and the deconfinement order-parameters φ and φ at finite temperatures and densities (chemical potentials). The PLSM is considered to study the QCD equation of state in the presence of the chiral condensate of charm for different finite chemical potentials. The PLSM results are in a good agreement with the recent lattice QCD simulations. We conclude that, the charm condensate is likely not affected by the QCD phase-transition, where the corresponding critical temperature is greater than that of the light and strange quark condensates.

scholarly journals PION-NUCLEON SCATTERING WITHIN A GAUGED LINEAR SIGMA MODEL WITH PARITY-DOUBLED NUCLEONS

2007 ◽  
Vol 16 (07n08) ◽  
pp. 2388-2393 ◽  
Author(s):  
SUSANNA WILMS ◽  
FRANCESCO GIACOSA ◽  
DIRK H. RISCHKE
Keyword(s):  
Sigma Model ◽  
Chiral Condensate ◽  
Linear Sigma Model ◽  
Tree Level ◽  
Model Parameters ◽  
Nucleon Scattering ◽  
Pion Nucleon ◽  
Scattering Lengths ◽  
Chiral Partner ◽  
Gauged Linear Sigma Model

We compute pion-nucleon scattering at tree-level within a gauged linear sigma model which contains the nucleon and its chiral partner. Such an investigation in principle allows to make definite predictions as to whether the main contribution to the nucleon mass comes from the chiral condensate or from the mixing with its chiral partner. We find that there seems to be no set of model parameters that allows for a simultaneous description of all experimentally measured scattering lengths and range parameters. This indicates the need to improve the dynamical ingredients of the model.

scholarly journals Chiral phase transition within the linear sigma model in the Tsallis nonextensive statistics based on density operator

2019 ◽  
Vol 28 (04) ◽  
pp. 1950020 ◽  
Author(s):  
Masamichi Ishihara
Keyword(s):  
Phase Transition ◽  
Sigma Model ◽  
Pion Mass ◽  
Free Particle ◽  
Chiral Condensate ◽  
Linear Sigma Model ◽  
Chiral Phase ◽  
Chiral Phase Transition ◽  
Nonextensive Statistics ◽  
Particle Approximation

We studied the chiral phase transition for small [Formula: see text] within the Tsallis nonextensive statistics of the entropic parameter [Formula: see text], where the quantity [Formula: see text] is the measure of the deviation from the Boltzmann–Gibbs statistics. We adopted the normalized [Formula: see text]-expectation value in this study. We applied the free particle approximation and the massless approximation in the calculations of the expectation values. We estimated the critical physical temperature, and obtained the chiral condensate, the sigma mass, and the pion mass, as functions of the physical temperature [Formula: see text] for various [Formula: see text]. We found the following facts. The [Formula: see text]-dependence of the critical physical temperature is [Formula: see text]. The chiral condensate at [Formula: see text] is smaller than that at [Formula: see text] for [Formula: see text]. The [Formula: see text]-dependence of the pion mass and that of the sigma mass reflect the [Formula: see text]-dependence of the condensate. The pion mass at [Formula: see text] is heavier than that at [Formula: see text] for [Formula: see text]. The sigma mass at [Formula: see text] is heavier than that at [Formula: see text] for [Formula: see text] at high physical temperature, while the sigma mass at [Formula: see text] is lighter than that at [Formula: see text] for [Formula: see text] at low physical temperature. The quantities which are functions of the physical temperature [Formula: see text] and the entropic parameter [Formula: see text] are described by only the effective physical temperature defined as [Formula: see text] under the approximations.

scholarly journals QCD monopole and sigma meson coupling

2017 ◽  
Vol 32 (18) ◽  
pp. 1750109
Author(s):  
Aiichi Iwazaki
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Sigma Model ◽  
Previous Analysis ◽  
Chiral Symmetry Breaking ◽  
Chiral Condensate ◽  
Linear Sigma Model ◽  
Quark Confinement ◽  
Meson Coupling ◽  
Sigma Meson

Under the assumption of the Abelian dominance in QCD, we show that chiral condensate is locally present around a QCD monopole. The appearance of the chiral condensate around a GUT monopole was shown in the previous analysis of the Rubakov effect. We apply a similar analysis to the QCD monopole. It follows that the condensation of the monopole carrying the chiral condensate leads to the chiral symmetry breaking as well as quark confinement. To realize the result explicitly, we present a phenomenological linear sigma model coupled with the monopoles, in which the monopole condensation causes the chiral symmetry breaking as well as confinement. The monopoles are assumed to be described by a model of dual superconductor. Because the monopoles couple with mesons, we point out the presence of an observable color singlet monopole coupled with the mesons.

scholarly journals Long way to Ricci flatness

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Jin Chen ◽  
Chao-Hsiang Sheu ◽  
Mikhail Shifman ◽  
Gianni Tallarita ◽  
Alexei Yung
Keyword(s):  
Sigma Model ◽  
Ultra Violet ◽  
The Other ◽  
Target Space ◽  
Linear Sigma Model ◽  
Close Relative ◽  
Two Dimensional ◽  
World Sheet ◽  
Ricci Flat ◽  
The World

Abstract We study two-dimensional weighted $$ \mathcal{N} $$ N = (2) supersymmetric ℂℙ models with the goal of exploring their infrared (IR) limit. 𝕎ℂℙ(N,$$ \tilde{N} $$ N ˜ ) are simplified versions of world-sheet theories on non-Abelian strings in four-dimensional $$ \mathcal{N} $$ N = 2 QCD. In the gauged linear sigma model (GLSM) formulation, 𝕎ℂℙ(N,$$ \tilde{N} $$ N ˜ ) has N charges +1 and $$ \tilde{N} $$ N ˜ charges −1 fields. As well-known, at $$ \tilde{N} $$ N ˜ = N this GLSM is conformal. Its target space is believed to be a non-compact Calabi-Yau manifold. We mostly focus on the N = 2 case, then the Calabi-Yau space is a conifold. On the other hand, in the non-linear sigma model (NLSM) formulation the model has ultra-violet logarithms and does not look conformal. Moreover, its metric is not Ricci-flat. We address this puzzle by studying the renormalization group (RG) flow of the model. We show that the metric of NLSM becomes Ricci-flat in the IR. Moreover, it tends to the known metric of the resolved conifold. We also study a close relative of the 𝕎ℂℙ model — the so called zn model — which in actuality represents the world sheet theory on a non-Abelian semilocal string and show that this zn model has similar RG properties.

scholarly journals Magnetic field dependence of the neutral pion mass in the linear sigma model with quarks: The strong field case

2021 ◽  
Vol 103 (5) ◽  
Author(s):  
Alejandro Ayala ◽  
José Luis Hernández ◽  
L. A. Hernández ◽  
Ricardo L. S. Farias ◽  
R. Zamora
Keyword(s):  
Magnetic Field ◽  
Field Dependence ◽  
Magnetic Field Dependence ◽  
Sigma Model ◽  
Neutral Pion ◽  
Strong Field ◽  
Pion Mass ◽  
Linear Sigma Model ◽  
Field Case

scholarly journals Gauged linear sigma model and pion-pion scattering

2009 ◽  
Vol 80 (11) ◽  
Author(s):  
Amir H. Fariborz ◽  
N. W. Park ◽  
Joseph Schechter ◽  
M. Naeem Shahid
Keyword(s):  
Sigma Model ◽  
Linear Sigma Model ◽  
Pion Scattering ◽  
Gauged Linear Sigma Model
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