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 ρ, that is controlled by the non-commutativity parameter θ, ρ~ 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.

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

References in corpus (7)

• Gauge-fixing independence of IR divergences in non-commutative U(1), perturbative tachyonic instabilities and supersymmetry
• Remarks on Time-Space Noncommutative Field Theories
• Renormalization of noncommutative U(N) gauge theories
• Instability of Non-Commutative SYM Theories at Finite Temperature
• Exact Results in Noncommutative $\mathcal{N}=2$ Supersymmetric Gauge Theories
• Systematics of one-loop Yang-Mills diagrams from bosonic string amplitudes
• Multiloop Noncommutative Open String Theory and their QFT limit

Cited by in corpus (1)

• UV/IR Mixing via Closed Strings and Tachyonic Instabilities