arXiv subjects

Vsevolod V. Chistiakov

Publications and source records attributed to Vsevolod V. Chistiakov.

2 recordsLinked to original sources

arXiv2026

Quantum "Twin Peaks" or Path Integrals in the Future Light Cone

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 path integrals measure that is invariant under the Lorentz group and quasi-invariant under the group of diffeomorphisms. The correspondence between the paths in the future cone of the Minkowskian plane and the paths in the coverings of the Euclidean plane is established.

math-ph↗

arXiv2024

Perturbation Theory for Path Integrals in Quadratic Gravity

The action $A$ 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 $g(τ)\,.$ We construct perturbation theory for calculating path integrals of the form $\int\,F(g)\,\exp\left\{-A (g)\right\}dg\,,$ and find the averaged value of the scale factor in the first nontrivial perturbative order.

hep-th↗