30 citations · 104 across the 23 of their papers we have counts for
23 papers
Quantum "Twin Peaks" or Path Integrals in the Future Light Cone
Vladimir V. Belokurov, Vsevolod V. Chistiakov, Klavdiia A. Lursmanashvili +1
By analogy with the Wiener measure on the Euclidean plane that is invariant under the group of rotations and quasi-invariant under the group of diffeomorphisms, we construct the pa…
On the occasion of Dr. Ivan Dmitrievich Remizov's 40th birthday
Ksenia Dragunova, Elmira Kalimulina, Rustem Kalmetev +8
This article celebrates the 40th anniversary of Dr. Ivan Dmitrievich Remizov, a mathematician who made a number of important contributions to the theory of one-parameter operator s…
Proof of the polar decomposition of the Wiener measure
V. V. Belokurov, E. T. Shavgulidze, N. E. Shavgulidze
In the paper, we give the proof of the polar decomposition of the Wiener measure according to the orbits of the group of diffeomorphisms.
Perturbation Theory for Path Integrals in Quadratic Gravity
Vladimir V. Belokurov, Vsevolod V. Chistiakov, Evgeniy T. Shavgulidze
The action of Quadratic Gravity in FLRW metric is invariant under the group of diffeomorphisms of the time coordinate and can be written in terms of the only dynamical variable…
An Approach to Quantum 2D Gravity
Vladimir V. Belokurov, Evgeniy T. Shavgulidze
We consider a model of 2D gravity with the action quadratic in curvature and represent path integrals as integrals over the SL(2, R) invariant Gaussian functional measure. We reduc…
Path Integrals in Quadratic Gravity
Vladimir V. Belokurov, Evgeniy T. Shavgulidze
Using the invariance of Quadratic Gravity in FLRW metric under the group of diffeomorphisms of the time coordinate, we rewrite the action of the theory in terms of the invarian…