30 citations · 105 across the 22 of their papers we have counts for
22 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…
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…
Functional integration over the factor-space
Vladimir V. Belokurov, Evgeniy T. Shavgulidze
An explicit form of the functional measure on the factor space is obtained that makes Schwarzian functional integrals calculus simpler and mo…