# Electroweak Current Operators in Chiral Effective Field Theory

**Authors:** Hermann Krebs

arXiv: 1908.01538 · 2019-08-06

## TL;DR

This paper reviews the development of electroweak current operators in chiral effective field theory, emphasizing symmetry constraints, regularization issues, and proposing higher derivative regularization to preserve chiral symmetry.

## Contribution

It introduces a higher derivative regularization method for nuclear forces and currents to maintain chiral symmetry at higher orders.

## Key findings

- Regularization affects chiral symmetry preservation.
- Naive cutoff regularization violates chiral symmetry.
- Higher derivative regularization maintains symmetry.

## Abstract

In this proceeding I briefly review current status of the construction of nuclear electro-weak currents within chiral effective field theory. I show that gauge and chiral symmetry requirements lead to the well-known continuity equations for the current and charge operators which, however, get modified at higher orders. Regularization of the current will be also discussed. I demonstrate that implementation of a cutoff regulator in a naive way leads to violation of chiral symmetry. To respect the underlying symmetries I propose to use higher derivative regularization in the nuclear forces and currents.

## Full text

_Full body text omitted from this summary view._ Fetch the complete paper as Markdown: https://tomesphere.com/paper/1908.01538/full.md

## References

21 references — full list in the complete paper: https://tomesphere.com/paper/1908.01538/full.md

---
Source: https://tomesphere.com/paper/1908.01538