Lorentz symmetry breaking in the noncommutative Wess-Zumino model: One loop corrections

TL;DR

This paper investigates Lorentz symmetry breaking in a non-commutative quantum field theory, demonstrating that supersymmetry does not prevent large Lorentz violations from loop corrections in the non-commutative Wess-Zumino model.

Contribution

It shows that supersymmetry fails to protect against Lorentz violation in non-commutative field theories at the quantum level.

Findings

Large Lorentz violating effects arise from loop corrections.

Supersymmetry does not shield the theory from Lorentz symmetry breaking.

The non-commutative Wess-Zumino model exemplifies this phenomenon.

Abstract

In this paper we deal with the issue of Lorentz symmetry breaking in quantum field theories formulated in a non-commutative space-time. We show that, unlike in some recente analysis of quantum gravity effects, supersymmetry does not protect the theory from the large Lorentz violating effects arising from the loop corrections. We take advantage of the non-commutative Wess-Zumino model to illustrate this point.