Induced Quantum Curvature and Three-dimensional Gauge Theories
Nov, 1985
24 pages
Published in:
- Nucl.Phys.B 276 (1986) 173-196
- Published: 1986
Report number:
- Print-86-0036 (IAS,PRINCETON)
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Abstract: (Elsevier)
The effects of quantum holonomy in three-dimensional gauge theories with massless fermions is examined and different definitions of the fermion determinant are discussed. The source of a global gauge and parity anomaly is identified in Schrödinger picture quantization as an induced holonomy that arises from the fermionic sector of the theory. In certain fermion representations this holonomy leads to a global obstruction to imposing either gauge or parity invariance through the implementation of Gauss' law constraint. However, such obstructions can be removed by exploiting renormalization ambiguities inherent in the definition of composite operators.- GAUGE FIELD THEORY: YANG-MILLS
- GAUGE FIELD THEORY: THREE-DIMENSIONAL
- FERMION: MASSLESS
- MASSLESS: FERMION
- FERMION: PATH INTEGRAL
- ANOMALY
- EFFECT: TOPOLOGICAL
- GAUGE FIELD THEORY: GAUSS LAW
- RENORMALIZATION: REGULARIZATION
- QUANTIZATION
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