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Title: Asymptotically free Û(l) Kac-Moody gauge fields in 3 + 1 dimensions
Authors: Baaquie, B.E. 
Parwani, R.R. 
Issue Date: 1996
Citation: Baaquie, B.E.,Parwani, R.R. (1996). Asymptotically free Û(l) Kac-Moody gauge fields in 3 + 1 dimensions. Physical Review B-Condensed Matter 54 (8) : 5245-5258. ScholarBank@NUS Repository.
Abstract: Û( l ) 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(l) Maxwell Lagrangian, is nonlinear and nonlocal; the Euclidean defined on a (d+ l)-dimensional manifold Rd×Sl 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 suseest its possible relevance to the studv of anisotrooic condensed matter svstems, in particular, that of high-temperature superconductors. © 1996 The American Physical Society.
Source Title: Physical Review B-Condensed Matter
ISSN: 01631829
Appears in Collections:Staff Publications

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