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

Journal Article · Tue Jun 01 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.114502· OSTI ID:21407986

Langfeld, Kurt ^[1]; Wellegehausen, Bjoern H; Wipf, Andreas ^[2]

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1. School of Mathematics and Statistics, University of Plymouth, Plymouth PL4 8AA (United Kingdom)
2. TPI, Friedrich-Schiller-Universitaet Jena, D-07743 Jena (Germany)

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.

• OSTI ID: 21407986
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 11; Other Information: DOI: 10.1103/PhysRevD.81.114502; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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