Published September 2003
| Version v1
Journal article
Polyakov lines in Yang-Mills matrix models
- 1. Department of Physics, University of Oxford, Theoretical Physics, 1 Keble Road, Oxford OX1 3NP (United Kingdom)
- 2. Department of Physics, University of Oxford, Theoretical Physics, 1 Keble Road, Oxford OX1 3NP (GB)
- 3. Service de Physique Theorique, CEA/DSM/SPhT Saclay, Unite de recherche associee au CNRS, F-91191 Gif-sur-Yvette Cedex (FR)
Description
We study the Polyakov line in Yang-Mills matrix models, which include the IKKT model of IIB string theory. For the gauge group SU(2) we give the exact formulae in the form of integral representations which are convenient for finding the asymptotic behaviour. For the SU(N) bosonic models we prove upper bounds which decay as a power law at large momentum p. We argue that these capture the full asymptotic behaviour. We also indicate how to extend the results to some correlation functions of Polyakov lines. (author)
Availability note (English)
Available online at the Web site for the Journal of High Energy Physics (ISSN 1029-8479) http://www.iop.org/Additional details
Identifiers
Publishing Information
- Journal Title
- Journal of High Energy Physics
- Journal Volume
- 09
- Journal Issue
- 2003
- Journal Page Range
- p. vp
- ISSN
- 1126-6708
INIS
- Country of Publication
- Italy
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35003562
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ASYMPTOTIC SOLUTIONS; BOSONS; CORRELATION FUNCTIONS; GAUGE INVARIANCE; MATRICES; QUANTUM FIELD THEORY; STRING MODELS; SU-2 GROUPS; YANG-MILLS THEORY
- Descriptors DEC
- COMPOSITE MODELS; EXTENDED PARTICLE MODEL; FIELD THEORIES; FUNCTIONS; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS; PARTICLE MODELS; QUARK MODEL; SU GROUPS; SYMMETRY GROUPS