Please use this identifier to cite or link to this item:
Title: Asymptotically free Û(1) Kac-Moody gauge fields in 3 + 1 dimensions
Authors: Baaquie, B.E. 
Parwani, R.R. 
Issue Date: 15-Oct-1996
Citation: Baaquie, B.E.,Parwani, R.R. (1996-10-15). Asymptotically free Û(1) Kac-Moody gauge fields in 3 + 1 dimensions. Physical Review D - Particles, Fields, Gravitation and Cosmology 54 (8) : 5259-5273. ScholarBank@NUS Repository.
Abstract: Û(1) Kac-Moody gauge fields have the infinite dimensional Û(1) Kac-Moody group as their gauge group. The pure gauge sector, unlike the usual U(1) Maxwell Lagrangian, is nonlinear and nonlocal; the Euclidean theory is defined on a (d+ 1)-dimensional manifold Rd×S1 and, hence, is also asymmetric. We quantize this theory using the background field method and examine its renormalizability at one loop by analyzing all the relevant diagrams. We find that, for a suitable choice of the gauge field propagators, this theory is one-loop renormalizable in 3+1 dimensions. This pure Û(1) Kac-Moody gauge theory in 3+1 dimensions has only one running coupling constant and the theory is asymptotically free. When fermions are added the number of independent couplings increases and a richer structure is obtained. Finally, we note some features of the theory which suggest its possible relevance to the study of anisotropic condensed matter systems, in particular, that of high-temperature superconductors.
Source Title: Physical Review D - Particles, Fields, Gravitation and Cosmology
ISSN: 05562821
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

Page view(s)

checked on Jan 26, 2020

Google ScholarTM


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.