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Title: Phase structure of QCD-like gauge theories plus four-fermion interactions

Abstract

This paper investigates the phase structure of (QCD-like) gauged Nambu-Jona-Lasinio model (QCD-like gauge theories plus four-fermion interactions) based on the ladder Schwinger-Dyson equation with one-loop running gauge coupling. Through analytical and numerical studies, the authors establish two fixed points structure, one with a large anomalous dimension {gamma}{sub m} {approx equal} 2 and the other with a small one {gamma}{sub m} {approx equal} 0. The authors further obtain the power critical exponents through the equation of state, which, as they stand, imply that the former fixed point is a Gaussian fixed point. The authors emphasize that logarithmic corrections due to the gauge interaction is crucial to obtaining an interacting continuum theory at this fixed point.

Authors:
 [1]; ;  [2]
  1. Dept. of Physics, Chiba Univ., 1-33 Yayoi-cho, Chiba 260 (JP)
  2. Dept. of Physics, Nagoya Univ., Nagoya 464-01 (JP)
Publication Date:
OSTI Identifier:
5860575
Resource Type:
Journal Article
Journal Name:
Modern Physics Letters A; (United States)
Additional Journal Information:
Journal Volume: 6:37; Journal ID: ISSN 0217-7323
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; FERMIONS; FOUR-BODY PROBLEM; FIELD THEORIES; DYSON REPRESENTATION; ANALYTICAL SOLUTION; CORRECTIONS; EQUATIONS OF STATE; FLAVOR MODEL; GAUGE INVARIANCE; GAUSS FUNCTION; NUMERICAL SOLUTION; QUANTUM CHROMODYNAMICS; SCHWINGER FUNCTIONAL EQUATIONS; COMPOSITE MODELS; DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; INVARIANCE PRINCIPLES; MANY-BODY PROBLEM; MATHEMATICAL MODELS; PARTICLE MODELS; QUANTUM FIELD THEORY; QUARK MODEL; 662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-); 662120 - General Theory of Particles & Fields- Symmetry, Conservation Laws, Currents & Their Properties- (1992-); 662230 - Quantum Chromodynamics- (1992-)

Citation Formats

Kondo, K, Shuto, S, and Yamawaki, K. Phase structure of QCD-like gauge theories plus four-fermion interactions. United States: N. p., 1991. Web. doi:10.1142/S0217732391003912.
Kondo, K, Shuto, S, & Yamawaki, K. Phase structure of QCD-like gauge theories plus four-fermion interactions. United States. https://doi.org/10.1142/S0217732391003912
Kondo, K, Shuto, S, and Yamawaki, K. Sat . "Phase structure of QCD-like gauge theories plus four-fermion interactions". United States. https://doi.org/10.1142/S0217732391003912.
@article{osti_5860575,
title = {Phase structure of QCD-like gauge theories plus four-fermion interactions},
author = {Kondo, K and Shuto, S and Yamawaki, K},
abstractNote = {This paper investigates the phase structure of (QCD-like) gauged Nambu-Jona-Lasinio model (QCD-like gauge theories plus four-fermion interactions) based on the ladder Schwinger-Dyson equation with one-loop running gauge coupling. Through analytical and numerical studies, the authors establish two fixed points structure, one with a large anomalous dimension {gamma}{sub m} {approx equal} 2 and the other with a small one {gamma}{sub m} {approx equal} 0. The authors further obtain the power critical exponents through the equation of state, which, as they stand, imply that the former fixed point is a Gaussian fixed point. The authors emphasize that logarithmic corrections due to the gauge interaction is crucial to obtaining an interacting continuum theory at this fixed point.},
doi = {10.1142/S0217732391003912},
url = {https://www.osti.gov/biblio/5860575}, journal = {Modern Physics Letters A; (United States)},
issn = {0217-7323},
number = ,
volume = 6:37,
place = {United States},
year = {1991},
month = {12}
}