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

P. V. Buividovich | Zendy

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

Author(s) -

P. V. Buividovich

Publication year - 2007

Publication title -

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Language(s) - English

Resource type - Journals

eISSN - 1550-7998

pISSN - 1550-2368

DOI - 10.1103/physrevd.75.065018

Subject(s) - brst quantization , path integral formulation , quantization (signal processing) , mathematical physics , phase space , invariant (physics) , mathematics , physics , gauge theory , quantum , quantum mechanics , algorithm

BRST quantization of the one-dimensional constrained matrix model whichdescribes two-dimensional Yang-Mills theory on the cylinder is performed.Classical and quantum BRST generators and BRST-invariant hamiltonians areconstructed. Evolution operator is expressed in terms of BRST path integral.Advantages of the BRST quantization over the reduced phase space approachleading to the theory of $N$ free fermions are discussed.Comment: 8 page

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