One-Loop Calculations for a Translation Invariant Non-Commutative Gauge Model
arXiv:0901.1681 · doi:10.1140/epjc/s10052-009-1031-1
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
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Cited by in corpus (19)
- On the Problem of Renormalizability in Non-Commutative Gauge Field Models - A Critical Review
- Gauge theories on quantum spaces
- Loop Calculations for the Non-Commutative U(1) Gauge Field Model with Oscillator Term
- On Non-Commutative U*(1) Gauge Models and Renormalizability
- Gauge Theories on Deformed Spaces
- On the Renormalizability of Noncommutative U(1) Gauge Theory - an Algebraic Approach
- A New Approach to Non-Commutative U(N) Gauge Fields
- On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory
- BPHZ renormalization and its application to non-commutative field theory
- Consistent Anomalies in Translation-Invariant Noncommutative Gauge Theories
- On UV/IR Mixing via Seiberg-Witten Map for Noncommutative QED
- One-Loop Calculations and Detailed Analysis of the Localized Non-Commutative 1/p**2 U(1) Gauge Model
- One loop radiative corrections to the translation-invariant noncommutative Yukawa Theory
- Translation-Invariant Noncommutative Renormalization
- One-loop structure of the U(1) gauge model on the truncated Heisenberg space
- Quantization of a gauge theory on a curved noncommutative space
- Renormalization of the commutative scalar theory with harmonic term to all orders
- Gauge Fields on Non-Commutative Spaces and Renormalization
- On NCQFT and dimensionless insertions