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

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.

9 pages, revtex4. Corrected references. Version published in PRD

References in corpus (3)

• Towards a consistent noncommutative supersymmetric Yang-Mills theory: superfield covariant analysis
• Supersymmetry and the Lorentz Fine Tuning Problem
• On the consistency of the three-dimensional noncommutative supersymmetric Yang-Mills theory

Cited by in corpus (9)

• On the induction of the four-dimensional Lorentz-breaking non-Abelian Chern-Simons action
• Unusual High-Energy Phenomenology of Lorentz-Invariant Noncommutative Field Theories
• New effects in the interaction between electromagnetic sources mediated by nonminimal Lorentz violating interactions
• Super-Yang-Mills Theory in SIM(1) Superspace
• The three-dimensional noncommutative Gross-Neveu model
• Lorentz Symmetry Breaking in $\mathcal{N}=2$ Superspace
• $C{P}^{(N-1)}$ model in aether-superspace
• Pair production of Dirac particles in a d+1-dimensional noncommutative space-time
• Spherically symmetric potential in noncommutative spacetime with a compactified extra dimensions