About the Equivalence of Cut-off and Renormalised Effective Field Theories

TL;DR

This paper demonstrates the equivalence between subtractively renormalized and cut-off effective field theories using low-energy nucleon-nucleon interaction as an example, clarifying their theoretical relationship.

Contribution

It provides a proof of equivalence between two approaches to effective field theories in the context of nucleon interactions.

Findings

Subtractively renormalized and cut-off EFTs are equivalent for low-energy nucleon interactions.

Theoretical framework clarifies the relationship between different EFT formulations.

Results support the consistency of EFT methods in nuclear physics.

Abstract

The equivalence of subtractively renormalized and cut-off effective field theories is demonstrated for the example of very low energy effective field theory for the nucleon-nucleon interaction.