Quantization of spontaneously broken gauge theory based on the BFT-BFV Formalism

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages, latex, final version published in Mod. Phys. Lett. A

Scientific paper

10.1142/S0217732398001273

We quantize the spontaneously broken abelian U(1) Higgs model by using the improved BFT and BFV formalisms. We have constructed the BFT physical fields, and obtain the first class observables including the Hamiltonian in terms of these fields. We have also explicitly shown that there are exact form invariances between the second class and first class quantities. Then, according to the BFV formalism, we have derived the corresponding Lagrangian having U(1) gauge symmetry. We also discuss at the classical level how one easily gets the first class Lagrangian from the symmetry-broken second class Lagrangian.

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