Feynman integral in QFT and white noise
Jaroslaw Wawrzycki
TL;DR
This paper rigorously constructs the Feynman integral within quantum field theory on the compactified Einstein Universe using white noise calculus, addressing a longstanding problem in the mathematical foundation of QFT.
Contribution
It provides a novel, mathematically rigorous construction of the Feynman integral on a curved spacetime using white noise calculus, solving a problem posed in foundational QFT literature.
Findings
Constructed the Feynman integral on the compactified Einstein Universe.
Applied white noise calculus to quantum field theory.
Addressed a problem from Bogoliubov and Shirkov's foundational work.
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.
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Taxonomy
TopicsCosmology and Gravitation Theories · Quantum Mechanics and Applications · Computational Physics and Python Applications