Twisted Poincar\'e Invariant Quantum Field Theories
High Energy Physics - Theory
2008-11-26 v1 Mathematical Physics
math.MP
Quantum Algebra
Abstract
It is by now well known that the Poincar\'e group acts on the Moyal plane with a twisted coproduct. Poincar\'e invariant classical field theories can be formulated for this twisted coproduct. In this paper we systematically study such a twisted Poincar\'e action in quantum theories on the Moyal plane. We develop quantum field theories invariant under the twisted action from the representations of the Poincar\'e group, ensuring also the invariance of the S-matrix under the twisted action of the group . A significant new contribution here is the construction of the Poincar\'e generators using quantum fields.
Cite
@article{arxiv.0708.1779,
title = {Twisted Poincar\'e Invariant Quantum Field Theories},
author = {A. P. Balachandran and A. Pinzul and B. A. Qureshi},
journal= {arXiv preprint arXiv:0708.1779},
year = {2008}
}
Comments
17 pages, JHEP style