Gauge invariant operators in field theories on non-commutative spaces

TL;DR

This paper reviews the construction of gauge invariant operators in non-commutative field theories, exploring their connection to energy momentum tensors and loop equations, highlighting recent theoretical developments.

Contribution

It provides a comprehensive review of gauge invariant operators in non-commutative spaces and their relation to fundamental quantities like energy momentum tensors.

Findings

Gauge invariant operators can be constructed in non-commutative field theories.

These operators relate to the energy momentum tensor in the non-commutative setting.

Connections to non-commutative loop equations are elucidated.

Abstract

We review some selected aspects of the construction of gauge invariant operators in field theories on non-commutative spaces and their relation to the energy momentum tensor as well as to the non-commutative loop equations.