English

Feynman integral in QFT and white noise

Mathematical Physics 2025-09-23 v3 math.MP

Abstract

We present a rigorous construction of the Feynman integral on the compactified Einstein Universe (EU) using white noise calculus. Presented construction of the functional averaging may also be thought of as a solution of the problem posed by Bogoliubov and Shirkov in Chap.VIII.43 of their book Introduction to the Theory of Quantized Fields'', Wiley 1980.

Cite

@article{arxiv.2411.00678,
  title  = {Feynman integral in QFT and white noise},
  author = {Jaroslaw Wawrzycki},
  journal= {arXiv preprint arXiv:2411.00678},
  year   = {2025}
}

Comments

19 pages, research paper. arXiv admin note: substantial text overlap with arXiv:1802.06719

R2 v1 2026-06-28T19:44:25.068Z