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

Title: Quark-antiquark bound state equation in the Wilson loop approach with minimal surfaces

Abstract

The quark-antiquark gauge invariant Green function is studied through its dependence on Wilson loops. The latter are saturated, in the large-Nc limit and for large contours, by minimal surfaces. A covariant bound state equation is derived which in the center-of-mass frame and at equal-times takes the form of a Breit-Salpeter type equation. The large-distance interaction potentials reduce in the static case to a confining linear vector potential. In general, the interaction potentials involve contributions having the structure of flux tube like terms.

Authors:
 [1];  [2]
  1. Instituto de Fisica Corpuscular, IFIC, Edificio Institutos de Investigation, Apt. de Correus 22085, E-46071 Valencia (Spain)
  2. Institut de Physique Nucleaire, Groupe de Physique Theorique, Universite Paris XI, F-91406 Orsay Cedex (France)
Publication Date:
OSTI Identifier:
20787644
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 806; Journal Issue: 1; Conference: International workshop on quantum chromodynamics: Theory and experiment, Conversano, Bari (Italy), 16-20 Jun 2005; Other Information: DOI: 10.1063/1.2163769; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BOUND STATE; CENTER-OF-MASS SYSTEM; DISTANCE; GAUGE INVARIANCE; GREEN FUNCTION; POTENTIALS; QUANTUM CHROMODYNAMICS; QUARK-ANTIQUARK INTERACTIONS; QUARKS; VECTORS; WILSON LOOP

Citation Formats

Jugeau, F., and Sazdjian, H. Quark-antiquark bound state equation in the Wilson loop approach with minimal surfaces. United States: N. p., 2006. Web. doi:10.1063/1.2163769.
Jugeau, F., & Sazdjian, H. Quark-antiquark bound state equation in the Wilson loop approach with minimal surfaces. United States. doi:10.1063/1.2163769.
Jugeau, F., and Sazdjian, H. Thu . "Quark-antiquark bound state equation in the Wilson loop approach with minimal surfaces". United States. doi:10.1063/1.2163769.
@article{osti_20787644,
title = {Quark-antiquark bound state equation in the Wilson loop approach with minimal surfaces},
author = {Jugeau, F. and Sazdjian, H.},
abstractNote = {The quark-antiquark gauge invariant Green function is studied through its dependence on Wilson loops. The latter are saturated, in the large-Nc limit and for large contours, by minimal surfaces. A covariant bound state equation is derived which in the center-of-mass frame and at equal-times takes the form of a Breit-Salpeter type equation. The large-distance interaction potentials reduce in the static case to a confining linear vector potential. In general, the interaction potentials involve contributions having the structure of flux tube like terms.},
doi = {10.1063/1.2163769},
journal = {AIP Conference Proceedings},
number = 1,
volume = 806,
place = {United States},
year = {Thu Jan 12 00:00:00 EST 2006},
month = {Thu Jan 12 00:00:00 EST 2006}
}