Redundancy of the off-shell parameters in chiral effective field theory with explicit spin-3/2 degrees of freedom

TL;DR

This paper proves that all off-shell parameters in chiral effective field theory with explicit Delta(1232) degrees of freedom are redundant and can be absorbed into redefinitions of low-energy constants, simplifying the theory.

Contribution

It demonstrates that off-shell parameters in the chiral Lagrangian with Delta(1232) are redundant and can be eliminated through redefinitions, valid to all orders.

Findings

Off-shell parameters are redundant in the theory.

Redefinitions absorb off-shell parameters into low-energy constants.

Simplifies the chiral effective field theory with Delta(1232).

Abstract

In this note we prove to all orders in the small scale expansion that all off-shell parameters which appear in the chiral effective Lagrangian with explicit Delta(1232) isobar degrees of freedom can be absorbed into redefinitions of certain low-energy constants and are therefore redundant.