Confining solution of the Dyson-Schwinger equations in Coulomb gauge

Journal Article · Thu Feb 15 00:00:00 EST 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.75.045011· OSTI ID:21011104

Epple, D; Reinhardt, H; Schleifenbaum, W ^[1]

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

The Dyson-Schwinger equations arising from minimizing the vacuum energy density in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge are solved numerically. A new solution is presented which gives rise to a strictly linearly rising static quark potential and whose existence was previously observed in the infrared analysis of the Dyson-Schwinger equations. For the new solution we also present the static quark potential and calculate the running coupling constant from the ghost-gluon vertex.

• OSTI ID: 21011104
• Journal Information: Physical Review. D, Particles Fields, Vol. 75, Issue 4; Other Information: DOI: 10.1103/PhysRevD.75.045011; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING CONSTANTS
ENERGY DENSITY
GLUONS
HAMILTONIANS
MATHEMATICAL SOLUTIONS
POTENTIALS
QUANTUM FIELD THEORY
QUARKS
SCHWINGER FUNCTIONAL EQUATIONS
YANG-MILLS THEORY