Quantum corrections from a path integral over reparametrizations

TY - JOUR

T1 - Quantum corrections from a path integral over reparametrizations

AU - Makeenko, Yuri

AU - Olesen, Poul

PY - 2010/8/23

Y1 - 2010/8/23

N2 - 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 Lüscher term associated with d=26 dimensions and propose a modification of the ansatz that reproduces the Lüscher 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 Lüscher term and verify this result by a direct computation of the determinant of the Laplace operator and the conformal anomaly.

AB - 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 Lüscher term associated with d=26 dimensions and propose a modification of the ansatz that reproduces the Lüscher 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 Lüscher term and verify this result by a direct computation of the determinant of the Laplace operator and the conformal anomaly.

U2 - 10.1103/PhysRevD.82.045025

DO - 10.1103/PhysRevD.82.045025

M3 - Journal article

SN - 1550-7998

VL - 82

SP - 045025

JO - Physical Review D (Particles, Fields, Gravitation and Cosmology)

JF - Physical Review D (Particles, Fields, Gravitation and Cosmology)

IS - 4

ER -