34 citations · 83 across the 34 of their papers we have counts for
73 papers
Fibre Bundles, Jet Manifolds and Lagrangian Theory. Lectures for Theoreticians
G. Sardanashvily
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 theo…
Quantum mechanics with respect to different reference frames
L. Mangiarotti, G. Sardanashvily
Geometric (Schrodinger) quantization of nonrelativistic mechanics with respect to different reference frames is considered. In classical nonrelativistic mechanics, a reference fram…
A dilemma of nonequivalent definitions of differential operators in noncommutative geometry
G. Sardanashvily
In contrast with differential operators on modules over commutative and graded commutative rings, there is no satisfactory notion of a differential operator in noncommutative geome…
The KT-BRST complex of a degenerate Lagrangian system
D. Bashkirov, G. Giachetta, L. Mangiarotti +1
Quantization of a Lagrangian field system essentially depends on its degeneracy and implies its BRST extension defined by sets of non-trivial Noether and higher-stage Noether ident…
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…