Chiral effective field theory on the light front

TL;DR

This paper introduces a novel light-front chiral effective field theory approach for baryons, utilizing Fock space decomposition and sector-dependent renormalization, demonstrated through magnetic moment calculations in a Yukawa model.

Contribution

It develops a consistent framework combining chiral Lagrangians with light-front dynamics and Fock space truncation, including a new regularization scheme.

Findings

Successful calculation of fermion magnetic moment in Yukawa model

Establishment of a sector-dependent renormalization scheme

Potential for improved baryonic structure modeling

Abstract

We propose a new approach to describe baryonic structure in terms of an effective chiral Lagrangian. The state vector of a baryon is defined on the light front of general position \omega . x=0, where \omega is an arbitrary light-like four vector. It is then decomposed in Fock components including an increasing number of pions. The maximal number of particles in the state vector is mapped out to the order of decomposition of the chiral effective Lagrangian to have a consistent calculation of both the state vector and the effective Lagrangian. An adequate Fock sector dependent renormalization scheme is used in order to restrict all contributions within the truncated Fock space. To illustrate our formalism, we calculate the anomalous magnetic moment of a fermion in the Yukawa model in the three-body truncation. We present perspectives opened by the use of a new regularization scheme based on the properties of fields as distributions acting on specific test functions.