Fibre Bundles, Jet Manifolds and Lagrangian Theory. Lectures for Theoreticians

Abstract

In contrast with QFT, classical field theory can be formulated in a strict mathematical way by treating classical fields as sections of smooth fibre bundles. Addressing to the theoreticians, these Lectures aim to compile the relevant material on fibre bundles, jet manifolds, connections, graded manifolds and Lagrangian theory. They follow the perennial course of lectures on geometric methods in field theory at the Department of Theoretical Physics of Moscow State University.

arXiv comment158 pp

References in corpus (2)

• Local BRST cohomology in gauge theories
• On the notion of gauge symmetries of generic Lagrangian field theory

Cited by in corpus (8)

• Symplectic embeddings, homotopy algebras and almost Poisson gauge symmetry
• Jet Bundle Geometry of Scalar Field Theories
• Finite higher spin transformations from exponentiation
• Lectures on Differential Geometry of Modules and Rings
• The Profinite Dimensional Manifold Structure of Formal Solution Spaces of Formally Integrable PDEs
• Duality, generalized global symmetries and jet space isometries
• Inverse Higgs phenomena as duals of holonomic constraints
• Differential operators on Schwartz distributions. Jet formalism