One-Loop Calculations for a Translation Invariant Non-Commutative Gauge Model

Abstract

In this paper we discuss one-loop results for the translation invariant non-commutative gauge field model we recently introduced in arXiv:0804.1914. This model relies on the addition of some carefully chosen extra terms in the action which mix long and short scales in order to circumvent the infamous UV/IR mixing, and were motivated by the renormalizable non-commutative scalar model of Gurau et al. (cf. arXiv:0802.0791).

18 pages, v2: minor corrections

References in corpus (6)

• Noncommutative Induced Gauge Theory
• A translation-invariant renormalizable non-commutative scalar model
• Induced Gauge Theory on a Noncommutative Space
• Translation-invariant models for non-commutative gauge fields
• Non-Commutative U(1) Gauge Theory on R**4 with Oscillator Term and BRST Symmetry
• A Vector Supersymmetry in Noncommutative U(1) Gauge Theory with the Slavnov Term

Cited by in corpus (2)

• Translation-Invariant Noncommutative Renormalization
• On NCQFT and dimensionless insertions