Composite Strings in (2+1)-Dimensional Anisotropic Weakly-Coupled Yang-Mills Theory

TL;DR

This paper investigates the microscopic structure of strings in anisotropic (2+1)-dimensional SU(2) Yang-Mills theory, revealing how color smearing influences the quark-antiquark potential and discussing implications for Lorentz-invariant theories.

Contribution

It introduces a detailed analysis of string constituents and color smearing effects in weakly-coupled anisotropic Yang-Mills theory, advancing understanding of string structure in lower dimensions.

Findings

Determined the quark-antiquark potential in the model.

Highlighted the role of color smearing in string Hamiltonian.

Discussed implications for Lorentz-invariant Yang-Mills theory.

Abstract

The small-scale structure of a string connecting a pair of static sources is explored for the weakly-coupled anisotropic SU(2) Yang-Mills theory in (2+1) dimensions. A crucial ingredient in the formulation of the string Hamiltonian is the phenomenon of color smearing of the string constituents. The quark-anti-quark potential is determined. We close with some discussion of the standard, fully Lorentz-invariant Yang-Mills theory.