skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Confinement and the quark Fermi surface in SU(2N) QCD-like theories

Abstract

Yang-Mills theories with a gauge group SU(N{sub c{ne}}3) and quark matter in the fundamental representation share many properties with the theory of strong interactions, QCD with N{sub c}=3. We show that, for N{sub c} even and in the confinement phase, the gluonic average of the quark determinant is independent of the boundary conditions, periodic or antiperiodic ones. We then argue that a Fermi sphere of quarks can only exist under extreme conditions when the center symmetry is spontaneously broken and color is liberated. Our findings are supported by lattice gauge simulations for N{sub c}=2-5 and are illustrated by means of a simple quark model.

Authors:
 [1]; ;  [2]
  1. School of Mathematics and Statistics, University of Plymouth, Plymouth PL4 8AA (United Kingdom)
  2. TPI, Friedrich-Schiller-Universitaet Jena, D-07743 Jena (Germany)
Publication Date:
OSTI Identifier:
21407986
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 81; Journal Issue: 11; Other Information: DOI: 10.1103/PhysRevD.81.114502; (c) 2010 The American Physical Society; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BOUNDARY CONDITIONS; COLOR MODEL; CONFINEMENT; FERMI LEVEL; GAUGE INVARIANCE; LATTICE FIELD THEORY; PERIODICITY; QUANTUM CHROMODYNAMICS; QUARK MATTER; QUARKS; SIMULATION; STRONG INTERACTIONS; SYMMETRY; YANG-MILLS THEORY; BASIC INTERACTIONS; COMPOSITE MODELS; CONSTRUCTIVE FIELD THEORY; ENERGY LEVELS; FERMIONS; FIELD THEORIES; INTERACTIONS; INVARIANCE PRINCIPLES; MATHEMATICAL MODELS; MATTER; PARTICLE MODELS; QUANTUM FIELD THEORY; QUARK MODEL; VARIATIONS

Citation Formats

Langfeld, Kurt, Wellegehausen, Bjoern H, and Wipf, Andreas. Confinement and the quark Fermi surface in SU(2N) QCD-like theories. United States: N. p., 2010. Web. doi:10.1103/PHYSREVD.81.114502.
Langfeld, Kurt, Wellegehausen, Bjoern H, & Wipf, Andreas. Confinement and the quark Fermi surface in SU(2N) QCD-like theories. United States. https://doi.org/10.1103/PHYSREVD.81.114502
Langfeld, Kurt, Wellegehausen, Bjoern H, and Wipf, Andreas. Tue . "Confinement and the quark Fermi surface in SU(2N) QCD-like theories". United States. https://doi.org/10.1103/PHYSREVD.81.114502.
@article{osti_21407986,
title = {Confinement and the quark Fermi surface in SU(2N) QCD-like theories},
author = {Langfeld, Kurt and Wellegehausen, Bjoern H and Wipf, Andreas},
abstractNote = {Yang-Mills theories with a gauge group SU(N{sub c{ne}}3) and quark matter in the fundamental representation share many properties with the theory of strong interactions, QCD with N{sub c}=3. We show that, for N{sub c} even and in the confinement phase, the gluonic average of the quark determinant is independent of the boundary conditions, periodic or antiperiodic ones. We then argue that a Fermi sphere of quarks can only exist under extreme conditions when the center symmetry is spontaneously broken and color is liberated. Our findings are supported by lattice gauge simulations for N{sub c}=2-5 and are illustrated by means of a simple quark model.},
doi = {10.1103/PHYSREVD.81.114502},
url = {https://www.osti.gov/biblio/21407986}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 11,
volume = 81,
place = {United States},
year = {2010},
month = {6}
}