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 KAON WEAK DECAYS IN CHIRAL THEORIES

1999 ◽  
Vol 14 (19) ◽  
pp. 1273-1285 ◽  
Author(s):  
M. D. SCADRON
Keyword(s):  
Perturbation Theory ◽  
Free Parameter ◽  
Sigma Model ◽  
Axial Current ◽  
Linear Sigma Model ◽  
Pole Model ◽  
Chiral Perturbation ◽  
Weak Decays ◽  
Partial Conservation ◽  
Free Parameters

The ten nonleptonic weak decays K→2π, K→ 3π, KL→2γ, KS→2γ, KL→π02γ, are predicted for a chiral pole model based on the linear sigma model theory which automatically satisfies the partial conservation of axial current (PCAC) hypothesis. These predictions, agreeing with data to the 5% level and containing no or at most one free parameter, are compared with the results of chiral perturbation theory (ChPT). The latter ChPT approach to one-loop level is known to contain at least four free parameters and then predicts a KL→π0γγ rate which is 60% shy of the experimental value.

scholarly journals Quark and pion condensates at finite isospin density in chiral perturbation theory

2020 ◽  
Vol 80 (11) ◽  
Author(s):  
Prabal Adhikari ◽  
Jens O. Andersen
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Chemical Potential ◽  
Chiral Condensate ◽  
Zero Temperature ◽  
Leading Order ◽  
Chiral Perturbation ◽  
Pion Condensate ◽  
Independent Analysis ◽  
Model Independent

AbstractIn this paper, we consider two-flavor QCD at zero temperature and finite isospin chemical potential $$\mu _I$$ μ I using a model-independent analysis within chiral perturbation theory at next-to-leading order. We calculate the effective potential, the chiral condensate and the pion condensate in the pion-condensed phase at both zero and nonzero pionic source. We compare our finite pionic source results for the chiral condensate and the pion condensate with recent (2+1)-flavor lattice QCD results. Agreement with lattice results generally improves as one goes from leading order to next-to-leading order.

scholarly journals Zero temperature properties of mesons in a vector meson extended linear sigma model

2011 ◽  
Vol 13 ◽  
pp. 02006 ◽  
Author(s):  
P. Kovács ◽  
G. Wolf ◽  
F. Giacosa ◽  
D. Parganlija
Keyword(s):  
Vector Meson ◽  
Sigma Model ◽  
Linear Sigma Model ◽  
Zero Temperature ◽  
Properties Of Mesons

ON THE RENORMALIZATION GROUP FLOW IN N = 2 SUPERCONFORMAL MODELS

1990 ◽  
Vol 05 (27) ◽  
pp. 2261-2265 ◽  
Author(s):  
E. GAVA ◽  
M. STANISHKOV
Keyword(s):  
Perturbation Theory ◽  
Renormalization Group ◽  
Fixed Points ◽  
Renormalization Group Flow ◽  
Β Function ◽  
Group Flow ◽  
Chiral Superfield

We show that the β-function of N = 2 superconformal models perturbed by a slightly relevant chiral superfield does not have non-trivial IR fixed points to all orders in perturbation theory.

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
Sign in / Sign up

Export Citation Format

Share Document