Static Quark Potential from the Polyakov Sum over Surfaces

TL;DR

This paper calculates the static quark potential using the Polyakov string model within a semiclassical approximation, establishing a well-defined sum over surfaces for spacetime dimensions between 1 and 25.

Contribution

It introduces a method to compute the static potential from the Polyakov string ansatz with a well-defined surface sum in specific dimensions.

Findings

Valid in dimensions 1<d<25

Provides a semiclassical calculation of the potential

Establishes a well-defined surface sum

Abstract

Using the Polyakov string ansatz for the rectangular Wilson loop we calculate the static potential in the semiclassical approximation. Our results lead to a well defined sum over surfaces in the range $1<d<25$.