Twisted Noncommutative Field Theory: Wick-Voros vs Moyal
High Energy Physics - Theory
2008-10-14 v3
Abstract
We present a comparison of the noncommutative field theories built using two different star products: Moyal and Wick-Voros (or normally ordered). We compare the two theories in the context of the noncommutative geometry determined by a Drinfeld twist, and the comparison is made at the level of Green's functions and S-matrix. We find that while the Green's functions are different for the two theories, the S-matrix is the same in both cases, and is different from the commutative case.
Cite
@article{arxiv.0807.1498,
title = {Twisted Noncommutative Field Theory: Wick-Voros vs Moyal},
author = {Salvatore Galluccio and Fedele Lizzi and Patrizia Vitale},
journal= {arXiv preprint arXiv:0807.1498},
year = {2008}
}
Comments
This paper was merged with arXiv:0807.1492 and has become arXiv:0810.2095. This has been published in Physical Review D 78.085007 (2008). The older version is available as arXiv:0807.1498v2