On the equivalence of two deformation schemes in quantum field theory

TL;DR

This paper demonstrates that two recent deformation methods for two-dimensional quantum field theories, one using deformed field operators and the other employing Longo-Witten endomorphisms, are fundamentally equivalent.

Contribution

It establishes the equivalence between two different deformation schemes in quantum field theory, clarifying their relationship.

Findings

The two deformation schemes are mathematically equivalent.

This equivalence unifies different approaches to quantum field theory deformations.

The result simplifies understanding of deformed quantum field models.

Abstract

Two recent deformation schemes for quantum field theories on the two-dimensional Minkowski space, making use of deformed field operators and Longo-Witten endomorphisms, respectively, are shown to be equivalent.