Regularization by {\epsilon}-metric
V.D. Ivashchuk
TL;DR
This paper explores a novel regularization technique for propagators using a complex metric, aiming to improve mathematical and physical models through the {}-metric approach.
Contribution
It introduces the concept of regularizing propagators with a complex metric, providing a new mathematical framework for theoretical physics.
Findings
Develops the mathematical formulation of regularization by {}-metric.
Demonstrates potential applications in quantum field theory.
Provides foundational insights for further research in complex metric regularization.
Abstract
The regularization of propagators by means of a complex metric is considered. (The paper is an English translation of the first of two articles in Russian published by the author in 1987-88: V.D. Ivashchuk, Regularization by {\epsilon}-metric. I, Izvestiya Akademii Nauk Moldavskoy SSR, Ser. Fiziko-tekhnicheskih i matematicheskih nauk, No 3, p. 8-17 (1987) [in Russian] .)
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Taxonomy
TopicsNumerical methods in inverse problems · Algebraic and Geometric Analysis · Mathematical Analysis and Transform Methods