Quantum corrections from a path integral over reparametrizations

Journal Article · Sun Aug 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.045025· OSTI ID:21421012

Makeenko, Yuri; Olesen, Poul ^[1]

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1. Institute of Theoretical and Experimental Physics, B. Cheremushkinskaya 25, 117218 Moscow (Russian Federation)

We study the path integral over reparametrizations that has been proposed as an ansatz for the Wilson loops in the large-N QCD and reproduces the area law in the classical limit of large loops. We show that a semiclassical expansion for a rectangular loop captures the Luescher term associated with d=26 dimensions and propose a modification of the ansatz that reproduces the Luescher term in other dimensions, which is observed in lattice QCD. We repeat the calculation for an outstretched ellipse advocating the emergence of an analog of the Luescher term and verify this result by a direct computation of the determinant of the Laplace operator and the conformal anomaly.

• OSTI ID: 21421012
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 4; Other Information: DOI: 10.1103/PhysRevD.82.045025; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CAPTURE
CORRECTIONS
EXPANSION
LAPLACIAN
MODIFICATIONS
QUANTUM CHROMODYNAMICS
SEMICLASSICAL APPROXIMATION
WILSON LOOP
APPROXIMATIONS
CALCULATION METHODS
FIELD THEORIES
MATHEMATICAL OPERATORS
QUANTUM FIELD THEORY