6533b853fe1ef96bd12aca61

RESEARCH PRODUCT

On the hamiltonian approach to commutator anomalies in (3+1) dimensions

Jouko Mickelsson

subject

PhysicsNuclear and High Energy PhysicsWeyl groupSpacetimeHigh Energy Physics::LatticeBRST quantizationFock spacesymbols.namesakeHamiltonian lattice gauge theoryQuantum mechanicsLie algebrasymbolsHamiltonian (quantum mechanics)Mathematical physicsVector potential

description

Abstract The quantization of Weyl fermions in the presence of an external nonabelian vector potential is discussed in the case of spacetime dimension (3+1). The hamiltonian approach is used, in the temporal gauge A 0 = 0. In particular, it is explicitly shown how one can lift the action of (an extension of) the group of gauge transformations to the bundle of Fock spaces parametrized by smooth vector potentials.

https://doi.org/10.1016/0370-2693(90)91489-x