Non-Commutative Gauge Theories and the Cosmological Constant
Abstract
We discuss the issue of the cosmological constant in non-commutative non-supersymmetric gauge theories. In particular, in orbifold field theories non-commutativity acts as a UV cut-off. We suggest that in these theories quantum corrections give rise to a vacuum energy \rho, that is controlled by the non-commutativity parameter \theta, \rho ~ 1/theta^2 (only a soft logarithmic dependence on the Planck scale survives). We demonstrate our claim in a two-loop computation in field theory and by certain higher loop examples. Based on general expressions from string theory, we suggest that the vacuum energy is controlled by non-commutativity to all orders in perturbation theory.
Keywords
Cite
@article{arxiv.hep-th/0106189,
title = {Non-Commutative Gauge Theories and the Cosmological Constant},
author = {Adi Armoni and Rodolfo Russo},
journal= {arXiv preprint arXiv:hep-th/0106189},
year = {2009}
}
Comments
11 pages, RevTex. 4 eps figures. v2: Typos corrected. To appear in Phys.Rev.D