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

Journal Article · Wed Jan 11 23:00:00 EST 2006 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.2163769· OSTI ID:20787644

Jugeau, F ^[1]; Sazdjian, H ^[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)

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.

• OSTI ID: 20787644
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 806; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

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