Exact solutions of (n+1)-dimensional Yang-Mills equations in curved space-time

Journal Article · Sat Sep 15 00:00:00 EDT 2012 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/J.AOP.2012.04.015· OSTI ID:22157043

Sanchez-Monroy, J.A., E-mail: [e-mail] ^[1]; Quimbay, C.J., E-mail: [e-mail] ^[1]; Centro Internacional de Fisica, Bogota D.C. ^[2]

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1. Grupo de Campos y Particulas, Universidad Nacional de Colombia, Bogota D.C. (Colombia)
2. (Colombia)

In the context of a semiclassical approach where vectorial gauge fields can be considered as classical fields, we obtain exact static solutions of the SU(N) Yang-Mills equations in an (n+1)-dimensional curved space-time, for the cases n=1,2,3. As an application of the results obtained for the case n=3, we consider the solutions for the anti-de Sitter and Schwarzschild metrics. We show that these solutions have a confining behavior and can be considered as a first step in the study of the corrections of the spectra of quarkonia in a curved background. Since the solutions that we find in this work are valid also for the group U(1), the case n=2 is a description of the (2+1) electrodynamics in the presence of a point charge. For this case, the solution has a confining behavior and can be considered as an application of the planar electrodynamics in a curved space-time. Finally we find that the solution for the case n=1 is invariant under a parity transformation and has the form of a linear confining solution. - Highlights: Black-Right-Pointing-Pointer We study exact static confining solutions of the SU(N) Yang-Mills equations in an (n+1)-dimensional curved space-time. Black-Right-Pointing-Pointer The solutions found are a first step in the study of the corrections on the spectra of quarkonia in a curved background. Black-Right-Pointing-Pointer A expression for the confinement potential in low dimensionality is found.

• OSTI ID: 22157043
• Journal Information: Annals of Physics (New York), Vol. 327, Issue 9; Other Information: Copyright (c) 2012 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTI DE SITTER GROUP
ANTI DE SITTER SPACE
CORRECTIONS
EXACT SOLUTIONS
FIELD EQUATIONS
ONE-DIMENSIONAL CALCULATIONS
PARITY
POINT CHARGE
POTENTIALS
QUANTUM FIELD THEORY
QUARKONIUM
SEMICLASSICAL APPROXIMATION
SPACE-TIME
SU GROUPS
TRANSFORMATIONS
U-1 GROUPS
VECTOR FIELDS
YANG-MILLS THEORY