Quantum Field Theory: Batalin–Vilkovisky Formalism and Its Applications

DOI10.1090/ulect/072zbMath1485.81003OpenAlexW3015714560MaRDI QIDQ5236932

Pavel Mnev

Publication date: 16 October 2019

Published in: University Lecture Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/ulect/072

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Feynman diagrams (81T18) Path integrals in quantum mechanics (81S40) Supermanifolds and graded manifolds (58A50) Deformation quantization, star products (53D55) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to quantum theory (81-01)

Related Items (17)

The ghost fields and the BV extension for finite spectral triples ⋮ On forms, cohomology and BV Laplacians in odd symplectic geometry ⋮ 4-Manifold topology, Donaldson–Witten theory, Floer homology and higher gauge theory methods in the BV-BFV formalism ⋮ Notes on Chern–Simons perturbation theory ⋮ On the geometry of forms on supermanifolds ⋮ The U(1) BF functional measure and the Dirac distribution on the space of quantum fields ⋮ L_∞‐Algebras of Classical Field Theories and the Batalin–Vilkovisky Formalism ⋮ Formal global AKSZ gauge observables and generalized Wilson surfaces ⋮ On BV supermanifolds and the super Atiyah class ⋮ Ruelle zeta function from field theory ⋮ Exact renormalization group and effective action: A Batalin–Vilkovisky algebraic formulation ⋮ The geometry of graded cotangent bundles ⋮ Exact renormalization group in Batalin-Vilkovisky theory ⋮ Globalization for perturbative quantization of nonlinear split AKSZ sigma models on manifolds with boundary ⋮ How to derive Feynman diagrams for finite-dimensional integrals directly from the BV formalism ⋮ Dimensional reduction of Courant sigma models and Lie theory of Poisson groupoids ⋮ QFT with stubs

This page was built for publication: Quantum Field Theory: Batalin–Vilkovisky Formalism and Its Applications