Ultraviolet-Finite QFT on Curved Space-Times

TL;DR

This paper presents a new interpretation of renormalization in quantum field theory on curved space-times, suggesting it makes the theory ultraviolet-finite and foundational rather than just a regularization process.

Contribution

It redefines renormalization as a fundamental aspect that ensures the mathematical well-definedness of QFT in curved space-times.

Findings

Renormalization is essential for the mathematical consistency of QFT.

The proposed interpretation makes QFT ultraviolet-finite at its core.

Renormalization is integral to the foundational structure of QFT.

Abstract

This paper proposes a different interpretation on the renormalization program of an interacting Klein-Gordon field in curved space-times. Rather than being just another renormalization program we argue that it that it makes the QFT ultraviolet-finite at its foundation. More precisely, we argue that renormalization is a part of the foundation of QFT and that without it the theory is mathematically ill-defined or at the very least incompletely specified.