Rigorous results in space-space noncommutative quantum field theory

TL;DR

This paper develops an axiomatic framework for noncommutative quantum field theory focusing on space-space noncommutativity, proving that key results hold under these conditions.

Contribution

It extends the axiomatic approach to noncommutative QFT, demonstrating the validity of main results when noncommutativity is limited to spatial variables.

Findings

Main axiomatic results remain valid with spatial noncommutativity

Develops Wightman function-based axiomatic framework for noncommutative QFT

Focuses on space-space noncommutative scenarios

Abstract

The axiomatic approach based on Wightman functions is developed in noncommutative quantum field theory. We have proved that the main results of the axiomatic approach remain valid if the noncommutativity affects only the spatial variables.