Reduced phase space quantization of massive vector theory

Details Reduced phase space quantization of massive vector theory Reduced phase space quantization of massive vector theory

1997-06-30

arxiv.org/abs/hep-th/9706220v3

Int.J.Mod.Phys. A14 (1999) 2285-2308

Physics

High Energy Physics

High Energy Physics - Theory

21 pages LATEX, no figures; to appear in Int. J. Mod. Phys. A.; missing factor added in formula (4) of introduction

Scientific paper

10.1142/S0217751X99001159

We quantize massive vector theory in such a way that it has a well-defined massless limit. In contrast to the approach by St\"uckelberg where ghost fields are introduced to maintain manifest Lorentz covariance, we use reduced phase space quantization with nonlocal dynamical variables which in the massless limit smoothly turn into the photons, and check explicitly that the Poincare algebra is fullfilled. In contrast to conventional covariant quantization our approach leads to a propagator which has no singularity in the massless limit and is well behaved for large momenta. For massive QED, where the vector field is coupled to a conserved fermion current, the quantum theory of the nonlocal vector fields is shown to be equivalent to that of the standard local vector fields. An inequivalent theory, however, is obtained when the reduced nonlocal massive vector field is coupled to a nonconserved classical current.

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