Nonlocal two-dimensional Yang-Mills- and generalized Yang-Mills-theories

TL;DR

This paper introduces a nonlocal generalization of two-dimensional Yang-Mills theories, exploring its classical and quantum properties and establishing a correspondence with local theories for large gauge groups.

Contribution

It presents a novel nonlocal extension of 2D Yang-Mills theories and analyzes its properties, linking it to local theories in the large gauge group limit.

Findings

Nonlocal theories exhibit a simple correspondence with local theories at large gauge groups.

Classical and quantum properties of the nonlocal generalization are thoroughly investigated.

The nonlocal model extends the understanding of gauge theories in two dimensions.

Abstract

A generalization of the two-dimensional Yang-Mills and generalized Yang-Mills theory is introduced in which the building B-F theory is nonlocal in the auxiliary field. The classical and quantum properties of this nonlocal generalization are investigated and it is shown that for large gauge groups, there exist a simple correspondence between the properties a nonlocal theory and its corresponding local theory.