2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/175522BRST 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.8 pagesHigh Energy Physics - TheoryBRST quantization of matrix models with constraints and two-dimensional Yang-Mills theory on the cylindertext