BRST quantization of matrix models with constraints and two-dimensional Yang-Mills theory on the cylinder
نویسنده
چکیده
BRST quantization of the one-dimensional constrained matrix model which describes twodimensional 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.
منابع مشابه
A note on BRST quantization of SU(2) Yang-Mills mechanics
The quantization of SU(2) Yang-Mills theory reduced to 0 + 1 space-time dimensions is performed in the BRST framework. We show that in the unitary gauge A0 = 0 the BRST procedure has difficulties which can be solved by introduction of additional singlet ghost variables. In the Lorenz gauge Ȧ0 = 0 one has additional unphysical degrees of freedom, but the BRST quantization is free of the problems...
متن کاملHU-SEFT R 1996-10 AS-ITP-1996-12 Gauss Law Constraints in Chern-Simons Theory From BRST Quantization
The physical state condition in the BRST quantization of Chern-Simons field theory is used to derive Gauss law constraints in the presence of Wilson loops, which play important role in explicitly establishing the connection of Chern-Simons field theory with 2-dimensional conformal field theory. When we discuss knot invariants in terms of Chern-Simons theory [1–6] and the relationship between Ch...
متن کاملCovariant Quantization of the Superparticle using Pure
The ten-dimensional superparticle is covariantly quantized by constructing a BRST operator from the fermionic Green-Schwarz constraints and a bosonic pure spinor variable. This same method was recently used for covariantly quantizing the superstring, and it is hoped that the simpler case of the superparticle will be useful for those who want to study this quantization method. It is interesting ...
متن کاملHidden Symmetries of the Open N=2 String
It is known for ten years that self-dual Yang-Mills theory is the effective field theory of the open N=2 string in 2+2 dimensional spacetime. We uncover an infinite set of abelian rigid string symmetries, corresponding to the symmetries and integrable hierarchy of the self-dual Yang-Mills equations. The twistor description of the latter naturally connects with the BRST approach to string quanti...
متن کاملComments on the Equivalence between Chern - Simons Theory and Topological Massive Yang - Mills Theory in 3 D
The classical formal equivalence upon a redefinition of the gauge connection between Chern-Simons theory and topological massive Yang-Mills theory in three-dimensional Euclidean spacetime is analyzed at the quantum level within the BRST formulation of the Equivalence Theorem. The parameter controlling the change in the gauge connection is the inverse λ of the topological mass. The BRST differen...
متن کامل