CLASSICAL FIELD THEORY: ADVANCED MATHEMATICAL FORMULATION

2008/11/01 by G. Sardanashvily, G. SARDANASHVILY · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical field theory #Classical unified field theories #Extension (predicate logic) #Field (mathematics) #Field theory (psychology) #Homotopy and Cohomology in Algebraic Topology #Lagrangian system #Mathematical theory #Noether's theorem #Noncommutative and Quantum Gravity Theories #math-ph #math.MP

paper · pdf · doi:10.1142/s0219887808003247

published as Int.J.Geom.Meth.Mod.Phys.5:1163-1189,2008 · 30 pp

openalex publication_date 2008/11/01 · arxiv created 2009/03/04 · arxiv updated 2011/08/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Reductive G-structures and Lie derivatives
• NONLINEAR REALIZATION OF THE LOCAL CONFORM-AFFINE SYMMETRY GROUP FOR GRAVITY IN THE COMPOSITE FIBER BUNDLE FORMALISM
• THE LIE DERIVATIVE OF SPINOR FIELDS: THEORY AND APPLICATIONS
• THE ROLE OF TRANSLATIONAL INVARIANCE IN NONLINEAR GAUGE THEORIES OF GRAVITY
• Local BRST cohomology in gauge theories
• The KT-BRST Complex of a Degenerate Lagrangian System
• GEOMETRY OF CLASSICAL HIGGS FIELDS
• Natural and gauge natural formalism for classical field theorie[s] : a geometric perspective including spinors and gauge theories
• COVARIANT LAGRANGIAN FORMALISM FOR CHERN-SIMONS THEORIES
• Topological Methods in Algebraic Geometry

Cited by

• Batalin-Vilkovisky Formalism in the Functional Approach to Classical Field Theory