On a redundancy in the parity-violating 2-nucleon contact Lagrangian

TL;DR

This paper demonstrates that the number of independent operators in the leading-order parity-violating 2-nucleon contact Lagrangian can be reduced to five using Fierz rearrangements, simplifying the theoretical framework.

Contribution

It identifies a redundancy in the parity-violating 2-nucleon contact Lagrangian and reduces the independent operators to five, clarifying the theoretical structure.

Findings

Number of independent operators reduced to five

Fierz rearrangements used to identify redundancies

Simplification of the parity-violating contact Lagrangian

Abstract

It is shown that the number of independent operators in the nucleon-nucleon parity-violating contact Lagrangian at the leading order in the low-momentum expansion, can be reduced to five, by using Fierz rearrangements of the nucleon fields.