TY - JOUR

T1 - BFV-BRST quantization of anomalous d=2 non-abelian chiral theory

AU - Oz, Yaron

N1 - Funding Information:
"~ Work supported in part by the Israeli Academy of Science-Fund for Basic Research. ~J In order to fully prove consistency and unitarity we must also study the gauge field quantum fluctuations, and its effect on the unitarity condition a> 1. This has not been done in this letter.

PY - 1990/2/22

Y1 - 1990/2/22

N2 - Working in the hamiltonian formalism, we show that the anomalous theory of N Dirac fermions, chirally coupled to a U (N) gauge field in two dimensions, is a gauge fixed symmetric theory. Thus, one may work with the gauge symmetric theory instead of its gauge fixed version - the anomalous one. Using the BFV-BRST procedure we quantize the symmetric theory, and show that the theory is formally consistent and unitary provided a > 1, where a denotes an arbitrary regularization parameter appearing in the quantum theory. We comment on the advantage of working with the symmetric theory for the investigation of the renormalization properties of the anomalous theory.

AB - Working in the hamiltonian formalism, we show that the anomalous theory of N Dirac fermions, chirally coupled to a U (N) gauge field in two dimensions, is a gauge fixed symmetric theory. Thus, one may work with the gauge symmetric theory instead of its gauge fixed version - the anomalous one. Using the BFV-BRST procedure we quantize the symmetric theory, and show that the theory is formally consistent and unitary provided a > 1, where a denotes an arbitrary regularization parameter appearing in the quantum theory. We comment on the advantage of working with the symmetric theory for the investigation of the renormalization properties of the anomalous theory.

UR - http://www.scopus.com/inward/record.url?scp=13844273209&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(90)90981-B

DO - 10.1016/0370-2693(90)90981-B

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AN - SCOPUS:13844273209

SN - 0370-2693

VL - 236

SP - 273

EP - 276

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 3

ER -