# 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:

- Instituto de Fisica Corpuscular, IFIC, Edificio Institutos de Investigation, Apt. de Correus 22085, E-46071 Valencia (Spain)
- 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}

}

DOI: 10.1063/1.2163769

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