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Title: Confining solution of the Dyson-Schwinger equations in Coulomb gauge

Abstract

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.

Authors:
; ;  [1]
  1. Institut fuer Theoretische Physik, Auf der Morgenstelle 14, D-72076 Tuebingen (Germany)
Publication Date:
OSTI Identifier:
21011104
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.75.045011; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
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

Citation Formats

Epple, D., Reinhardt, H., and Schleifenbaum, W. Confining solution of the Dyson-Schwinger equations in Coulomb gauge. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.045011.
Epple, D., Reinhardt, H., & Schleifenbaum, W. Confining solution of the Dyson-Schwinger equations in Coulomb gauge. United States. doi:10.1103/PHYSREVD.75.045011.
Epple, D., Reinhardt, H., and Schleifenbaum, W. Thu . "Confining solution of the Dyson-Schwinger equations in Coulomb gauge". United States. doi:10.1103/PHYSREVD.75.045011.
@article{osti_21011104,
title = {Confining solution of the Dyson-Schwinger equations in Coulomb gauge},
author = {Epple, D. and Reinhardt, H. and Schleifenbaum, W.},
abstractNote = {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.},
doi = {10.1103/PHYSREVD.75.045011},
journal = {Physical Review. D, Particles Fields},
number = 4,
volume = 75,
place = {United States},
year = {Thu Feb 15 00:00:00 EST 2007},
month = {Thu Feb 15 00:00:00 EST 2007}
}