Fibre bundles and jet manifolds provide the adequate mathematical formulation of classical field theory and its prequantum BRST extension.
The file Library1.pdf (12 Mb) contains the attached PDF files of my main works on geometric formulation of classical field theory
G.Giachetta, L.Mangiarotti and G.Sardanashvily, New Lagrangian and Hamiltonian Methods in Field Theory (World Scientific, Singapore, 1997)
L.Mangiarotti and G.Sardanashvily, Connections in Classical and Quantum Field Theory (World Scientific, Singapore, 2000)
G.Giachetta, L.Mangiarotti and G.Sardanashvily, Advanced Classical Field Theory (World Scientific, Singapore, 2009)
G.Giachetta, L.Mangiarotti and G.Sardanashvily, Covariant Hamilton equations for field theory, J. Phys. A 32 (1999) 6629-6642
G.Giachetta, L.Mangiarotti and G.Sardanashvily, Iterated BRST cohomology, Lett. Math. Phys. 53 (2000) 143-156
G.Giachetta, L.Mangiarotti and G.Sardanashvily, Cohomology of the infinite-order jet space and the inverse problem, J. Math. Phys. 42 (2001) 4272-4282
G.Giachetta, L.Mangiarotti and G.Sardanashvily, Lagrangian supersymmetries depending on derivatives. Global analysis and cohomology, Commun. Math. Phys. 259 (2005) 103-128
D.Bashkirov, G.Giachetta, L.Mangiarotti and G.Sardanashvily, The antifield Koszul-Tate complex of reducible Noether identities, J. Math. Phys. 46 (2005) 103513
G.Sardanashvily, Graded infinite order jet manifolds, Int. J. Geom. Methods Mod. Phys. 4 (2007) 1335-1362
D.Bashkirov, G.Giachetta, L.Mangiarotti and G.Sardanashvily, The KT-BRST complex of a degenerate Lagrangian system, Lett. Math. Phys. 83 (2008) 237-252
G.Sardanashvily, Classical field theory. Advanced mathematical formulation, Int. J. Geom. Methods Mod. Phys. 5 (2008) 1163-1189
G.Giachetta, L.Mangiarotti, G.Sardanashvily, On the notion of gauge symmetries of generic Lagrangian field theory, J. Math. Phys. 50 (2009) 012903
G.Sardanashvily, Gauge conservation laws in a general setting: Superpotential, Int. J. Geom. Methods Mod. Phys. 6 (2009) 1047-1056
The file Library1.pdf (12 Mb) contains the attached PDF files of my main works on geometric formulation of classical field theory
Contents
G.Giachetta, L.Mangiarotti and G.Sardanashvily, New Lagrangian and Hamiltonian Methods in Field Theory (World Scientific, Singapore, 1997)
L.Mangiarotti and G.Sardanashvily, Connections in Classical and Quantum Field Theory (World Scientific, Singapore, 2000)
G.Giachetta, L.Mangiarotti and G.Sardanashvily, Advanced Classical Field Theory (World Scientific, Singapore, 2009)
G.Giachetta, L.Mangiarotti and G.Sardanashvily, Covariant Hamilton equations for field theory, J. Phys. A 32 (1999) 6629-6642
G.Giachetta, L.Mangiarotti and G.Sardanashvily, Iterated BRST cohomology, Lett. Math. Phys. 53 (2000) 143-156
G.Giachetta, L.Mangiarotti and G.Sardanashvily, Cohomology of the infinite-order jet space and the inverse problem, J. Math. Phys. 42 (2001) 4272-4282
G.Giachetta, L.Mangiarotti and G.Sardanashvily, Lagrangian supersymmetries depending on derivatives. Global analysis and cohomology, Commun. Math. Phys. 259 (2005) 103-128
D.Bashkirov, G.Giachetta, L.Mangiarotti and G.Sardanashvily, The antifield Koszul-Tate complex of reducible Noether identities, J. Math. Phys. 46 (2005) 103513
G.Sardanashvily, Graded infinite order jet manifolds, Int. J. Geom. Methods Mod. Phys. 4 (2007) 1335-1362
D.Bashkirov, G.Giachetta, L.Mangiarotti and G.Sardanashvily, The KT-BRST complex of a degenerate Lagrangian system, Lett. Math. Phys. 83 (2008) 237-252
G.Sardanashvily, Classical field theory. Advanced mathematical formulation, Int. J. Geom. Methods Mod. Phys. 5 (2008) 1163-1189
G.Giachetta, L.Mangiarotti, G.Sardanashvily, On the notion of gauge symmetries of generic Lagrangian field theory, J. Math. Phys. 50 (2009) 012903
G.Sardanashvily, Gauge conservation laws in a general setting: Superpotential, Int. J. Geom. Methods Mod. Phys. 6 (2009) 1047-1056
very good article nice post thanks
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