Quark Propagator with electroweak interactions in the Dyson-Schwinger approach

TL;DR

This paper investigates how electroweak interactions, especially parity violation, non-perturbatively affect the quark propagator using Dyson-Schwinger equations, revealing significant impacts even from slight symmetry breaking.

Contribution

It introduces a non-perturbative study of electroweak symmetry breaking effects on the quark propagator within the Dyson-Schwinger framework, highlighting qualitative changes from minimal explicit isospin breaking.

Findings

Explicit isospin breaking causes qualitative changes in the quark propagator.

Non-perturbative effects may be larger than perturbative predictions.

Parity violation significantly influences the strong interaction sector.

Abstract

Motivated by the non-negligible dynamical backcoupling of the electroweak interactions with the strong interaction during neutron star mergers, we study the effects of the explicit breaking of C, P and flavor symmetry on the strong sector. The quark propagator is the simplest object which encodes the consequences of these breakings. To asses the impact, we study the influence of especially parity violation on the propagator for various masses. For this purpose the functional methods in form of Dyson-Schwinger-Equations are employed. We find that explicit isospin breaking leads to a qualitative change of behavior even for a slight explicit breaking, which is in contrast to the expectations from perturbation theory. Our results thus suggest that non-perturbative backcoupling effects could be larger than expected.