Electroweak Current Operators in Chiral Effective Field Theory
arXiv:1908.01538
The paper reviews the construction of nuclear electroweak current operators in chiral effective field theory, highlighting how gauge and chiral symmetries shape continuity equations and proposing higher‑derivative regularization to preserve these symmetries when applying cutoffs.
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.
10 pages, 4 tables, Contribution to the proceedings of the 9th International workshop on Chiral Dynamics (PoS CD18)