Published July 2005
| Version v1
Journal article
Bosonic color-flavor transformation for the special unitary group
Creators
- 1. Institute for Theoretical Physics, University of Regensburg, 93040 Regensburg (Germany)
- 2. Department of Physics, Yale University, New Haven, Connecticut 06520-8120 (United States)
Description
We extend Zirnbauer's color-flavor transformation in the bosonic sector to the color group SU(Nc). Because the flavor group U(Nb,Nb) is noncompact, the algebraic method by which the original color-flavor transformation was derived leads to a useful result only for 2Nb≤Nc. Using the character expansion method, we obtain a different form of the transformation in the extended range Nb≤Nc. This result can also be used for the color group U(Nc). The integrals to which the transformation can be applied are of relevance for the recently proposed boson-induced lattice gauge theory
Additional details
Identifiers
- DOI
- 10.1063/1.1951627;
- arXiv
- arXiv:hep-lat/0411038v1;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 46
- Journal Issue
- 7
- Journal Page Range
- p. 072306-072306.25
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 37015235
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- BOSONS; COLOR MODEL; FLAVOR MODEL; GAUGE INVARIANCE; INTEGRALS; LATTICE FIELD THEORY; QUANTUM CHROMODYNAMICS; SU GROUPS; TRANSFORMATIONS
- Descriptors DEC
- COMPOSITE MODELS; CONSTRUCTIVE FIELD THEORY; FIELD THEORIES; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICAL MODELS; PARTICLE MODELS; QUANTUM FIELD THEORY; QUARK MODEL; SYMMETRY GROUPS
Optional Information
- Notes
- (c) 2005 American Institute of Physics