3 research outputs found
One-Loop Calculations and Detailed Analysis of the Localized Non-Commutative 1/p**2 U(1) Gauge Model
This paper carries forward a series of articles describing our enterprise to
construct a gauge equivalent for the -deformed non-commutative
model originally introduced by Gurau et al. arXiv:0802.0791. It is shown that
breaking terms of the form used by Vilar et al. arXiv:0902.2956 and ourselves
arXiv:0901.1681 to localize the BRST covariant operator
lead to difficulties concerning renormalization. The reason is that this
dimensionless operator is invariant with respect to any symmetry of the model,
and can be inserted to arbitrary power. In the present article we discuss
explicit one-loop calculations, and analyze the mechanism the mentioned
problems originate from.Comment: v2: minor corrections and references added; v3: published versio
Gauge Theories on Deformed Spaces
The aim of this review is to present an overview over available models and
approaches to non-commutative gauge theory. Our main focus thereby is on gauge
models formulated on flat Groenewold-Moyal spaces and renormalizability, but we
will also review other deformations and try to point out common features. This
review will by no means be complete and cover all approaches, it rather
reflects a highly biased selection.Comment: v2 references added; v3 published versio
Quantum Corrections for Translation-Invariant Renormalizable Non-Commutative Phi^4 Theory
In this paper we elaborate on the translation-invariant renormalizable Phi^4
theory in 4-dimensional non-commutative space which was recently introduced by
the Orsay group. By explicitly performing Feynman graph calculations at one
loop and higher orders we illustrate the mechanism which overcomes the UV/IR
mixing problem and ultimately leads to a renormalizable model. The obtained
results show that the IR divergences are also suppressed in the massless case,
which is of importance for the gauge field theoretic generalization of the
scalar field model.Comment: 18 pages, v2: slightly extended version including a new section on
one-loop renormalization, v3: minor revisio