Theory of Loops and Strings with Matter in the Adjoint Representation

TL;DR

This paper develops canonical and path integral formulations for a theory involving loops, closed strings, and matter fields in the adjoint representation of SU(N), exploring their interactions.

Contribution

It introduces a novel theoretical framework combining loops, strings, and adjoint matter fields within gauge theories.

Findings

Formulated canonical and path integral approaches

Analyzed interactions between loops, strings, and matter fields

Provided insights into gauge-invariant processes

Abstract

We have presented canonical and path integral formulations of a theory of loops and closed strings with the matter field quanta transforming in the adjoint representation of the SU(N) gauge group. The physical processes arising out of the interactions of loops and closed strings are discussed.