The main notions of semiclassical scalar electrodynamics are discussed. Different approaches for quantizing scalar electrodynamics are considered. These are Couloumb gauge quantization, refined algebraic quantization and Gupta-Bleuler (or BRST-BFV) quantization. In the semiclassical theory, set of all semiclassical states are viewed as a bundle. The base of the bundle is considered as an extended phase space of the corresponding classical theory. Fibres are quantum states in external background. Semiclassical observables are expressed via differential 1-forms on the extended phase space.
11.15.Kc Classical and semiclassical techniques
Department of Quantum Statistics anf Field Theory, Faculty of Physics, M.V.Lomonosov Moscow State University, Moscow 119991, Russia
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