Recent developments in effective field theory

TL;DR

This paper reviews recent advances in effective field theory, focusing on chiral perturbation theory for nucleons, including new regularization schemes and higher-order calculations for nucleon properties.

Contribution

It introduces infrared regularization and extended on-mass-shell schemes, enabling higher-loop calculations and inclusion of additional degrees of freedom in chiral EFT.

Findings

Chiral expansion of nucleon mass to order O(q^6)

Inclusion of vector and axial-vector mesons in form factor calculations

Development of consistent power counting and renormalization methods

Abstract

We will give a short introduction to the one-nucleon sector of chiral perturbation theory and will address the issue of a consistent power counting and renormalization. We will discuss the infrared regularization and the extended on-mass-shell scheme. Both allow for the inclusion of further degrees of freedom beyond pions and nucleons and the application to higher-loop calculations. As applications we consider the chiral expansion of the nucleon mass to order O(q^6) and the inclusion of vector and axial-vector mesons in the calculation of nucleon form factors.