Phase structure of QCDlike gauge theories plus fourfermion interactions
Abstract
This paper investigates the phase structure of (QCDlike) gauged NambuJonaLasinio model (QCDlike gauge theories plus fourfermion interactions) based on the ladder SchwingerDyson equation with oneloop 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:

 Dept. of Physics, Chiba Univ., 133 Yayoicho, Chiba 260 (JP)
 Dept. of Physics, Nagoya Univ., Nagoya 46401 (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 02177323
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; FERMIONS; FOURBODY 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; MANYBODY 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 QCDlike gauge theories plus fourfermion interactions. United States: N. p., 1991.
Web. doi:10.1142/S0217732391003912.
Kondo, K, Shuto, S, & Yamawaki, K. Phase structure of QCDlike gauge theories plus fourfermion interactions. United States. https://doi.org/10.1142/S0217732391003912
Kondo, K, Shuto, S, and Yamawaki, K. Sat .
"Phase structure of QCDlike gauge theories plus fourfermion interactions". United States. https://doi.org/10.1142/S0217732391003912.
@article{osti_5860575,
title = {Phase structure of QCDlike gauge theories plus fourfermion interactions},
author = {Kondo, K and Shuto, S and Yamawaki, K},
abstractNote = {This paper investigates the phase structure of (QCDlike) gauged NambuJonaLasinio model (QCDlike gauge theories plus fourfermion interactions) based on the ladder SchwingerDyson equation with oneloop 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 = {02177323},
number = ,
volume = 6:37,
place = {United States},
year = {1991},
month = {12}
}