34 citations · 84 across the 35 of their papers we have counts for
4 papers · 1 filter
Axiomatic classical (prequantum) field theory. Jet formalism
G. Sardanashvily
In contrast with QFT, classical field theory can be formulated in a strict mathematical way if one defines even classical fields as sections of smooth fiber bundles. Formalism of j…
Noether's inverse second theorem in homology terms
G. Giachetta, L. Mangiarotti, G. Sardanashvily
A generic degenerate Lagrangian system of even and odd variables on an arbitrary smooth manifold is examined in terms of the Grassmann-graded variational bicomplex. Its Euler-Lagra…
Lagrangian and Hamiltonian dynamics of submanifolds
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Submanifolds of a manifold are described as sections of a certain fiber bundle that enables one to consider their Lagrangian and (polysymplectic) Hamiltonian dynamics as that of a…
Green function identities in Euclidean quantum field theory
G. Sardanashvily
Given a generic Lagrangian system of even and odd fields, we show that any infinitesimal transformation of its classical Lagrangian yields the identities which Euclidean Green func…