34 citations · 84 across the 35 of their papers we have counts for
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Gauge gravitation theory from the geometric viewpoint
G. Sardanashvily
This is the Preface to the special issue of 'International Journal of Geometric Methods in Modern Physics', v.3, N.1 (2006) dedicated to the 50th aniversary of gauge gravitation th…
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…
Noether identities of a generic differential operator. The Koszul-Tate complex
G. Sardanashvily
Given a generic Lagrangian system, its Euler-Lagrange operator obeys Noether identities which need not be independent, but satisfy first-stage Noether identities, and so on. This c…
The variational bicomplex on graded manifolds and its cohomology
G. Sardanashvily
Lagrangian formalism on graded manifolds is phrased in terms of the Grassmann-graded variational bicomplex, generalizing the familiar variational bicomplex for even Lagrangian syst…
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…