2017•arXiv (Cornell University)Open access

Lectures on Batalin-Vilkovisky formalism and its applications in topological quantum field theory

Pavel Mnëv

Abstract

Lecture notes for the course "Batalin-Vilkovisky formalism and applications in topological quantum field theory" given at the University of Notre Dame in the Fall 2016 for a mathematical audience. In these lectures we give a slow introduction to the perturbative path integral for gauge theories in Batalin-Vilkovisky formalism and the associated mathematical concepts.

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Key concepts: Formalism (music), Path integral formulation, Quantum field theory, Gauge theory, Physics, Theoretical physics, Quantum, Topological quantum field theory