The Quantization of the Chiral Schwinger Model based on the BFT-BFV formalism

Abstract

We apply newly improved Batalin-Fradkin-Tyutin Hamiltonian method to the chiral Schwinger Model in the case of the regularization ambiguity $a>1$. We show that one can systematically construct the first class constraints by the BFT Hamiltonian method, and also show that the well-known Dirac brackets of the original phase space variables are exactly the Poisson brackets of the corresponding modified fields in the extended phase space. Furthermore, we show that the first class Hamiltonian is simply obtained by replacing the original fields in the canonical Hamiltonian by these modified fields. Performing the momentum integrations, we obtain the corresponding first class Lagrangian in the configuration space.

12 pages, latex, no figures

Cited by in corpus (20)

• Radiative corrections to $e^{+}{e}^{-}\to H^{+}{H}^{-}$: THDM versus MSSM
• The non-abelian BFFT formalism for the collective coordinates quantization of the SU(2) Skyrme model
• Hamiltonian Embedding of SU(2) Higgs Model in the Unitary Gauge
• Finite Nilpotent BRST transformations in Hamiltonian formulation
• Gauging the nonlinear sigma-model through a non-Abelian algebra
• BFT Hamiltonian Embedding of Non-Abelian Self-Dual Model
• BFT embedding of noncommutative D-brane system
• New forms of BRST symmetry in rigid rotor
• The quantization of the chiral Schwinger model based on the BFT-BFV formalism II
• Complete BFT Embedding of Massive Theory with One- and Two-form Gauge Fields
• Dirac Quantization of Restricted QCD
• Improved BFT embedding having chain-structure
• BFFT formalism applied to the minimal chiral Schwinger model
• Lagrangian Approach of the First Class Constrained Systems
• Gauge Symmetry of the Chiral Schwinger model from an improved Gauge Unfixing formalism
• Symplectic quantization of self-dual master Lagrangian
• Various forms of BRST symmetry in Abelian 2-form gauge theory
• Quantization of spontaneously broken gauge theory based on the BFT-BFV Formalism
• Two different gauge-invariant models in the Lagrangian approach
• Generalized BFT Formalism of Electroweak Theory in the Unitary Gauge