Lorentz invariance and unitarity in UV finite NCQFT

Abstract

Ultraviolet finite quantum field theory on even dimensional noncommutative spacetime is formulated using coordinate coherent states. 2d spacetime is foliated into families of orthogonal, non commutative, two-planes. Lorentz invariance is recovered if one imposes a single non commutative parameter theta in the theory. Unitarity is checked at the one-loop level and no violation is found. Being UV finite NCQFT does not present any UV/IR mixing.

Latex, 12pages, no figures

References in corpus (1)

• String theory T-duality and the zero point length of spacetime

Cited by in corpus (3)

• Non-commutative geometry inspired higher-dimensional charged, black holes
• Parikh-Wilczek Tunneling from Noncommutative Higher Dimensional Black Holes
• Thermodynamics on Noncommutative Geometry in Coherent State Formalism