Classical field theory. Advanced mathematical formulation

Abstract

In contrast with QFT, classical field theory can be formulated in strict mathematical terms of fibre bundles, graded manifolds and jet manifolds. Second Noether theorems provide BRST extension of this classical field theory by means of ghosts and antifields for the purpose of its quantization.

30 pp

References in corpus (15)

• Noether's second theorem for BRST symmetries
• The KT-BRST complex of a degenerate Lagrangian system
• The Lie derivative of spinor fields: theory and applications
• Noether's second theorem in a general setting. Reducible gauge theories
• Reductive G-structures and Lie derivatives
• The antifield Koszul-Tate complex of reducible Noether identities
• Lagrangian supersymmetries depending on derivatives. Global analysis and cohomology
• Nonlinear Realization of the Local Conform-Affine Symmetry Group for Gravity in the Composite Fiber Bundle Formalism
• Noether conservation laws in higher-dimensional Chern-Simons theory
• Supersymmetric Field-Theoretic Models on a Supermanifold
• Graded infinite order jet manifolds
• Covariant Lagrangian Formulation of Chern-Simons and BF Theories
• The Poincaré-Cartan Form in Superfield Theory
• Canonical Transformations of Local Functionals and sh-Lie Structures
• The role of translational invariance in non linear gauge theories of gravity

Cited by in corpus (5)

• Batalin-Vilkovisky formalism in the functional approach to classical field theory
• Fermionic fields in the functional approach to classical field theory
• Classical gauge gravitation theory
• Hidden Supersymmetry in Dirac Fermion Quasinormal Modes of Black Holes
• Lecture on Gauge Gravitation Theory. Gravity as a Higgs Field