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

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 th...

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Bibliographic Details
Main Authors: Jugeau, F, Sazdjian, H
Format: Conference Proceeding
Language:English
Subjects:
BOUND STATE
CENTER-OF-MASS SYSTEM
DISTANCE
GAUGE INVARIANCE
GREEN FUNCTION
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
POTENTIALS
QUANTUM CHROMODYNAMICS
QUARK-ANTIQUARK INTERACTIONS
QUARKS
VECTORS
WILSON LOOP
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Summary: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.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.2163769