Finite Nilpotent BRST Transformations in Hamiltonian Formulation

作者：Rai Sumit Kumar; Mandal Bhabani Prasad^*

来源：International Journal of Theoretical Physics, 2013, 52(10): 3512-3521.

DOI：10.1007/s10773-013-1654-8

• Generalized BRST transformation
• Hamiltonian formulation
• BFV formulation

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 transformations in the sector of Lagrange multiplier and its corresponding momenta.

• 出版日期2013-10