Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-01-29
Int.J.Mod.Phys. A12 (1997) 4217-4239
Physics
High Energy Physics
High Energy Physics - Theory
29 pages, plain Latex, To be published in Int. J. Mod. Phys. A
Scientific paper
10.1142/S0217751X97002309
The BRST quantization of the Abelian Proca model is performed using the Batalin-Fradkin-Tyutin and the Batalin-Fradkin-Vilkovisky formalism. First, the BFT Hamiltonian method is applied in order to systematically convert a second class constraint system of the model into an effectively first class one by introducing new fields. In finding the involutive Hamiltonian we adopt a new approach which is more simpler than the usual one. We also show that in our model the Dirac brackets of the phase space variables in the original second class constraint system are exactly the same as the Poisson brackets of the corresponding modified fields in the extended phase space due to the linear character of the constraints comparing the Dirac or Faddeev-Jackiw formalisms. Then, according to the BFV formalism we obtain that the desired resulting Lagrangian preserving BRST symmetry in the standard local gauge fixing procedure naturally includes the St\"uckelberg scalar related to the explicit gauge symmetry breaking effect due to the presence of the mass term. We also analyze the nonstandard nonlocal gauge fixing procedure.
Kim Yong-Wan
Park Mu-In
Park Young-Jai
Yoon Sean J.
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