Space-Time Noncommutative Field Theories And Unitarity
High Energy Physics - Theory
2009-10-31 v2
Abstract
We study the perturbative unitarity of noncommutative scalar field theories. Field theories with space-time noncommutativity do not have a unitary S-matrix. Field theories with only space noncommutativity are perturbatively unitary. This can be understood from string theory, since space noncommutative field theories describe a low energy limit of string theory in a background magnetic field. On the other hand, there is no regime in which space-time noncommutative field theory is an appropriate description of string theory. Whenever space-time noncommutative field theory becomes relevant massive open string states cannot be neglected.
Cite
@article{arxiv.hep-th/0005129,
title = {Space-Time Noncommutative Field Theories And Unitarity},
author = {Jaume Gomis and Thomas Mehen},
journal= {arXiv preprint arXiv:hep-th/0005129},
year = {2009}
}
Comments
15 pages, 2 figures, harvmac; references added