Coulomb gauge confinement in the heavy quark limit

Journal Article · Sat May 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.105011· OSTI ID:21409769

Popovici, C; Watson, P; Reinhardt, H ^[1]

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1. Institut fuer Theoretische Physik, Universitaet Tuebingen, Auf der Morgenstelle 14, D-72076 Tuebingen (Germany)

The relationship between the nonperturbative Green's functions of Yang-Mills theory and the confinement potential is investigated. By rewriting the generating functional of quantum chromodynamics in terms of a heavy quark mass expansion in Coulomb gauge, restricting to leading order in this expansion and considering only the two-point functions of the Yang-Mills sector, the rainbow-ladder approximation to the gap and Bethe-Salpeter equations is shown to be exact in this case and an analytic, nonperturbative solution is presented. It is found that there is a direct connection between the string tension and the temporal gluon propagator. Further, it is shown that for the 4-point quark correlation functions, only confined bound states of color-singlet quark-antiquark (meson) and quark-quark (baryon) pairs exist.

• OSTI ID: 21409769
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 10; Other Information: DOI: 10.1103/PhysRevD.81.105011; (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
B QUARKS
BAG MODEL
BARYONS
BETHE-SALPETER EQUATION
BOUND STATE
C QUARKS
COLOR MODEL
CORRELATION FUNCTIONS
GLUONS
GREEN FUNCTION
LADDER APPROXIMATION
MASS
MATHEMATICAL SOLUTIONS
MESONS
PROPAGATOR
QUANTUM CHROMODYNAMICS
QUARK-ANTIQUARK INTERACTIONS
QUARK-QUARK INTERACTIONS
T QUARKS
YANG-MILLS THEORY
APPROXIMATIONS
BEAUTY PARTICLES
BOSONS
CALCULATION METHODS
CHARM PARTICLES
COMPOSITE MODELS
ELEMENTARY PARTICLES
EQUATIONS
EXTENDED PARTICLE MODEL
FERMIONS
FIELD THEORIES
FUNCTIONS
HADRONS
INTERACTIONS
MATHEMATICAL MODELS
PARTICLE INTERACTIONS
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM FIELD THEORY
QUARK MODEL
QUARKS
TOP PARTICLES