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

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

2007-02-28

arxiv.org/abs/hep-th/0702224v1

Phys.Rev.D75:065018,2007

Physics

High Energy Physics

High Energy Physics - Theory

8 pages

Scientific paper

10.1103/PhysRevD.75.065018

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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