34 citations · 84 across the 35 of their papers we have counts for
21 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…
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…
On the mathematical hypothesis of phenomena like the confinement
G. Sardanashvily
The Wick rotation provides the standard technique of computing Feynman diagrams by means of Euclidean propagators. Let us suppose that quantum fields in an interaction zone are rea…
Geometry of classical Higgs fields
G. Sardanashvily
In gauge theory, Higgs fields are responsible for spontaneous symmetry breaking. In classical gauge theory on a principal bundle P, a symmetry breaking is defined as the reduction…
On the BV quantization of gauge gravitation theory
D. Bashkirov, G. Sardanashvily
Quantization of gravitation theory as gauge theory of general covariant transformations in the framework of Batalin-Vilkoviski (BV) formalism is considered. Its gauge-fixed Lagrang…
Space-time BRST symmetries
D. Bashkirov, G. Sardanashvily
Bearing in mind BV quantization of gauge gravitation theory, we extend general covariant transformations to the BRST ones.