Non-Linear Algebra and Bogolubov's Recursion
A. Morozov, M. Serbyn
TL;DR
This paper demonstrates how Bogolubov's forest formula can be universally applied to solve various non-linear equations, including those in quantum field theory, showcasing its broad applicability.
Contribution
It introduces a unified approach using Bogolubov's forest formula for iterative solutions of diverse non-linear equations across different fields.
Findings
The formula applies to quadratic equations.
It extends to renormalization in quantum field theory.
Demonstrates versatility in solving non-linear problems.
Abstract
Numerous examples are given of application of Bogolubov's forest formula to iterative solutions of various non-linear equations: one and the same formula describes everything, from ordinary quadratic equation to renormalization in quantum field theory.
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