3 papers
math-ph2026
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…
math-ph2025
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.
hep-th2024
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…