BRST Quantization of 2d-Yang Mills Theory with Anomalies

Details BRST Quantization of 2d-Yang Mills Theory with Anomalies BRST Quantization of 2d-Yang Mills Theory with Anomalies

1992-09-11

arxiv.org/abs/hep-th/9209035v1

Nucl.Phys.B395:263-287,1993

Physics

High Energy Physics

High Energy Physics - Theory

25p., NIKHEF-H/92-13

Scientific paper

10.1016/0550-3213(93)90217-D

In this paper we discuss the BRST-quantization of anomalous 2d-Yang Mills (YM) theory. Since we use an oscillator basis for the YM-Fock-space the anomaly appears already for a pure YM-system and the constraints form a Kac-Moody algebra with negative central charge. We also discuss the coupling of chiral fermions and find that the BRST-cohomology for systems with chiral fermions in a sufficiently large representation of the gauge group is completely equivalent to the cohomology of the finite dimensional gauge group. For pure YM theory or YM theory coupled to chiral fermions in small representations there exists an infinite number of inequivalent cohomology classes. This is discussed in some detail for the example of $SU(2)$.

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