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PreprintarXiv licencearXiv

Lorentz-Invariant Measure for Path Integrals in the Future Cone

  • Vladimir V. Belokurov
  • Vsevolod V. Chistiakov
  • Klavdiia A. Lursmanashvili
  • Evgeniy T. Shavgulidze
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Abstract

We construct a measure on continuous paths in the future cone of two-dimensional space that is invariant under the orthochronous Lorentz group and quasi-invariant under the action of the diffeomorphism group. We use the proposed measure to obtain the fundamental solution of the heat equation. The result agrees with the expression obtained by other methods.

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Cite

BibTeXRIS
BibTeX
@misc{belokurov2026lorentzinvariant,
  title = {{Lorentz-Invariant Measure for Path Integrals in the Future Cone}},
  author = {Vladimir V. Belokurov and Vsevolod V. Chistiakov and Klavdiia A. Lursmanashvili and Evgeniy T. Shavgulidze},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.04669},
  eprint = {2611.04669},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.04669},
}
RIS
TY  - UNPB
TI  - Lorentz-Invariant Measure for Path Integrals in the Future Cone
AU  - Vladimir V. Belokurov
AU  - Vsevolod V. Chistiakov
AU  - Klavdiia A. Lursmanashvili
AU  - Evgeniy T. Shavgulidze
PY  - 2026
DA  - 2026/11/03
PB  - arXiv
DO  - 10.48550/arxiv.2611.04669
UR  - https://arxiv.org/abs/2611.04669
AB  - We construct a measure on continuous paths in the future cone of two-dimensional space that is invariant under the orthochronous Lorentz group and quasi-invariant under the action of the diffeomorphism group. We use the proposed measure to obtain the fundamental solution of the heat equation. The result agrees with the expression obtained by other methods.
ER  -