Noncommutative GUT inspired theories and the UV finiteness of the fermionic four point functions
Creators
- 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
Identifiers
- DOI
- 10.1103/PhysRevD.80.065023;
- arXiv
- arXiv:0907.2464v3;
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
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 41063903
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- BOSON-FERMION SYMMETRY; BOSONS; CHIRALITY; COMMUTATION RELATIONS; FERMIONS; GAUGE INVARIANCE; INTERACTIONS; STANDARD MODEL
- Descriptors DEC
- FIELD THEORIES; GRAND UNIFIED THEORY; INVARIANCE PRINCIPLES; MATHEMATICAL MODELS; PARTICLE MODELS; PARTICLE PROPERTIES; QUANTUM FIELD THEORY; SYMMETRY; UNIFIED GAUGE MODELS
Optional Information
- Notes
- (c) 2009 The American Physical Society