S-Matrix on the Moyal Plane: Locality versus Lorentz Invariance
High Energy Physics - Theory
2008-11-26 v2 General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Quantum Algebra
Abstract
Twisted quantum field theories on the Groenewold-Moyal plane are known to be non-local. Despite this non-locality, it is possible to define a generalized notion of causality. We show that interacting quantum field theories that involve only couplings between matter fields, or between matter fields and minimally coupled U(1) gauge fields are causal in this sense. On the other hand, interactions between matter fields and non-abelian gauge fields violate this generalized causality. We derive the modified Feynman rules emergent from these features. They imply that interactions of matter with non-abelian gauge fields are not Lorentz- and CPT-invariant.
Cite
@article{arxiv.0708.1379,
title = {S-Matrix on the Moyal Plane: Locality versus Lorentz Invariance},
author = {A. P. Balachandran and A. Pinzul and B. A. Qureshi and S. Vaidya},
journal= {arXiv preprint arXiv:0708.1379},
year = {2008}
}
Comments
15 pages, LaTeX, 1 figure