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BRST quantization of matrix models with constraints and two-dimensional Yang-Mills theory on the cylinder

Pavel Buividovich
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Abstract

BRST quantization of the one-dimensional constrained matrix model which describes two-dimensional Yang-Mills theory on the cylinder is performed. Classical and quantum BRST generators and BRST-invariant hamiltonians are constructed. Evolution operator is expressed in terms of BRST path integral. Advantages of the BRST quantization over the reduced phase space approach leading to the theory of $N$ free fermions are discussed.

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Pavel Buividovich. 2007-02-28. BRST quantization of matrix models with constraints and two-dimensional Yang-Mills theory on the cylinder. https://doi.org/10.1103/physrevd.75.065018

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