Published January 19, 2006
| Version v1
Journal article
Gauge theories and non-commutative geometry
Creators
- 1. Physics Department, University of Athens (Greece)
- 2. Laboratoire de Physique Theorique CNRS-ENS, 24 rue Lhomond, F-75231 Paris cedex 05 (France)
Description
It is shown that a d-dimensional classical SU(N) Yang-Mills theory can be formulated in a (d+2)-dimensional space, with the extra two dimensions forming a surface with non-commutative geometry. In this Letter we present an explicit proof for the case of the torus and the sphere
Additional details
Identifiers
- DOI
- 10.1016/j.physletb.2005.10.081;
- arXiv
- arXiv:hep-th/0509055v1;
- PII
- S0370-2693(05)01590-X;
Publishing Information
- Journal Title
- Physics Letters. Section B
- Journal Volume
- 632
- Journal Issue
- 4
- Journal Page Range
- p. 566-570
- ISSN
- 0370-2693
- CODEN
- PYLBAJ
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 38019690
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- GAUGE INVARIANCE; GEOMETRY; MANY-DIMENSIONAL CALCULATIONS; MATHEMATICAL SPACE; SPHERES; SU GROUPS; TWO-DIMENSIONAL CALCULATIONS; YANG-MILLS THEORY
- Descriptors DEC
- INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICS; SPACE; SYMMETRY GROUPS
Optional Information
- Copyright
- Copyright (c) 2005 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.