Published September 15, 2009 | Version v1
Journal article

Noncommutative GUT inspired theories and the UV finiteness of the fermionic four point functions

  • 1. Departamento de Fisica Teorica I, Facultad de Ciencias Fisicas, Universidad Complutense de Madrid, 28040 Madrid (Spain)
  • 2. Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California, 93106-4030 (United States)

Description

We show at one loop and first order in the noncommutativity parameters that in any noncommutative GUT inspired theory the total contribution to the fermionic four point functions coming only from the interaction between fermions and gauge bosons, though not UV finite by power counting, is UV finite at the end of the day. We also show that this is at odds with the general case for noncommutative gauge theories - chiral or otherwise - defined by means of Seiberg-Witten maps that are the same - barring the gauge group representation - for left-handed spinors as for right-handed spinors. We believe that the results presented in this paper tilt the scales to the side of noncommutative GUTS and noncommutative GUT inspired versions of the standard model.

Additional details

Publishing Information

Journal Title
Physical Review. D, Particles Fields
Journal Volume
80
Journal Issue
6
Journal Page Range
p. 065023-065023.6
ISSN
0556-2821
CODEN
PRVDAQ

Optional Information

Notes
(c) 2009 The American Physical Society