We show that the BV (Batalin Vilkovisky) action, formulated with an extended BRST symmetry (including the shift symmetry), is also invariant under an extended anti-BRST transformation (where the antifields are the parameters of the transformation), when the gauge fixing Lagrangian is both BRST and anti-BRST invariant. We show that for a general gauge fixing Lagrangian, the BV action can be writ...

This thesis describes mathematical structures of the quantum BRST constraint method. Ultimately, the quantum BRST structures are formulated in a C∗-algebraic context, leading to comparison of the quantum BRST and the Dirac constraint method in a mathematically consistent framework. Rigorous models are constructed for the heuristic examples of BRST for quantum electromagnetism (BRST-QEM) and Ham...

We discuss both the off-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for cosmological Friedmann-Robertson-Walker (FRW) model with a differential gauge condition in extended phase space. In this discussion, presence of provides complete geometrical description BRST within ambit supervariable approach. derive conserved (anti-)BRST charges FRW using celeb...

BRST quantization of the one-dimensional constrained matrix model which describes twodimensional Yang-Mills theory on the cylinder is performed. Classical and quantum BRST generators and BRST-invariant hamiltonians are constructed. Evolution operator is expressed in terms of BRST path integral. Advantages of the BRST quantization over the reduced phase space approach leading to the theory of N ...

The celebrated Curci-Ferrari (CF) type of restrictions are invoked to obtain the off-shell nilpotent and absolutely anticommuting (anti-) BRST as well as (anti-) co-BRST symmetry transformations in the context of the Lagrangian description of the physical four (3 + 1)-dimensional (4D) free Abelian 2-form gauge theory. We show that the above CF type conditions, which turn out to be the secondary...