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