др Воја Радовановић

29. марта 2023.

У оквиру семинара Групе за гравитацију, честице и поља Института за физику у Београду, у петак, 31. марта 2023. године у 11 часова на Физичком факултету у Београду, у сали 665, др Воја Радовановић (Физички факултет у Београду), одржаће други део предавања:

Batalin-Vilkovisky formalism and quantization of gauge field theories


In these series of lectures we will review the Batalin-Vilkovisky (BV) formalism and its applications. This formalism is a generalization of the BRST quantization and it is frequently used in field theory and quantum mechanics. One of the advantages of the BV formalism is that it provides a well defined quantization for theories that cannot be quanized by the Faddev-Popov path integral approach. In
particular, gauge field theories with complicated gauge symmetries (reducible and/or with an open algebra) are quantized using the BV formalism.

In the second lecture we will discuss some examples of reducible and/or open gauge symmetries. Then we will introduce notions of antifields, antibracket and BV laplacian, derive their properties and discuss the classic and the quantum master equations and their solutions.  Finally, we will present few relevant examples: Yang-Mills theory, toplogical Yang-Mills theory and the antisymmetric tensor field theory.