35 citations · 421 across the 77 of their papers we have counts for
7 papers · 1 filter
Axiomatic quantum field theory. Jet formalism
G. Sardanashvily
Jet formalism provides the adequate mathematical formulation of classical field theory, reviewed in hep-th/0612182v1. A formulation of QFT compatible with this classical one is dis…
Reduction of principal superbundles, Higgs superfields, and supermetric
G. Sardanashvily
By virtue of the well-known theorem, a structure Lie group G of a principal bundle P is reducible to its closed subgroup H iff there exists a global section of the quotient bundle…
Lagrangian supersymmetries depending on derivatives. Global analysis and cohomology
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Lagrangian contact supersymmetries (depending on derivatives of arbitrary order) are treated in very general setting. The cohomology of the variational bicomplex on an arbitrary gr…
Cohomology of the variational complex in BRST theory
G. Sardanashvily
We show that cohomology of the variational complex in field-antifield BRST theory on an arbitrary manifold is equal to the de Rham cohomology of this manifold.
Five Lectures on the Jet Methods in Field Theory
G. Sardanashvily
The fibre bundle formulation of gauge theory is generally accepted. The jet manifold machinery completes this formulation and provides the adequate mathematical description of dyna…
Multimomentum Hamiltonian Formalism in Quantum Field Theory
G. Sardanashvily
The familiar generating functionals in quantum field theory fail to be true measures and, so they make the sense only in the framework of the perturbation theory. In our approach,…