Finite Nilpotent BRST transformations in Hamiltonian formulation

Abstract

We consider the finite field dependent BRST (FFBRST) transformations in the context of Hamiltonian formulation using Batalin-Fradkin-Vilkovisky method. The non-trivial Jacobian of such transformations is calculated in extended phase space. The contribution from Jacobian can be written as exponential of some local functional of fields which can be added to the effective Hamiltonian of the system. Thus, FFBRST in Hamiltonian formulation with extended phase space also connects different effective theories. We establish this result with the help of two explicit examples. We also show that the FFBRST transformations is similar to the canonical transformtaions in the sector of Lagrange multiplier and its corresponding momenta.

14 pages, No Figs

References in corpus (4)

• Relating Gribov-Zwanziger theory to effective Yang-Mills theory
• Finite nilpotent symmetry in Batalin-Vilkovisky formalism
• New forms of BRST symmetry in rigid rotor
• Various forms of BRST symmetry in Abelian 2-form gauge theory

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