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

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Vladimir Viktorovich Belokurov, Vsevolod V. Chistiakov, Klavdiia A. Lursmanashvili, Evgeniy T. Shavgulidze
DOI: 10.48550/arxiv.2603.05173
Cited by: 0
References: 8

Abstract

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.

Fields of Study & Subjects

Relativity and Gravitational Theory p-Adic Analysis and Mathematical Physics Advanced Operator Algebra Research

Publication details

Journal / source
arXiv (Cornell University)
Publication date
5 March 2026
Language
EN
Document type
Preprint