Non-Commutative Gauge Theories and the Cosmological Constant

Details Non-Commutative Gauge Theories and the Cosmological Constant Non-Commutative Gauge Theories and the Cosmological Constant

2001-06-20

arxiv.org/abs/hep-th/0106189v2

Phys.Rev. D64 (2001) 085016

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, RevTex. 4 eps figures. v2: Typos corrected. To appear in Phys.Rev.D

Scientific paper

10.1103/PhysRevD.64.085016

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.

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