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|Title:||Asymptotically free Û(1) Kac-Moody gauge fields in 3 + 1 dimensions|
|Authors:||Baaquie, B.E. |
|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|
|Appears in Collections:||Staff Publications|
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