Quantum corrections from a path integral over reparametrizations

Abstract

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 which 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.

References in corpus (3)

• Wilson Loops and QCD/String Scattering Amplitudes
• Implementation of the Duality between Wilson loops and Scattering Amplitudes in QCD
• Path Integral over Reparametrizations: Levy Flights versus Random Walks

Cited by in corpus (8)

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• Semiclassical Regge trajectories of noncritical string and large-N QCD
• Scattering Amplitudes of QCD String
• Comments on open string with "massive" boundary term