Anomaly cancellation condition in an effective non-perturbative electroweak theory

TL;DR

This paper demonstrates that the gauge anomaly cancellation condition remains valid non-perturbatively in an effective electroweak theory with a finite momentum cut-off, ensuring gauge invariance at a fundamental level.

Contribution

It proves the non-perturbative validity of anomaly cancellation conditions in an effective electroweak model with finite cut-off, aligning with Standard Model constraints.

Findings

Anomaly cancellation condition holds non-perturbatively.

Current conservation is maintained up to energy-scale-dependent terms.

Functional integrals are shown to be convergent and analytic.

Abstract

We establish the non-perturbative validity of the gauge anomaly cancellation condition in an effective electroweak theory of massless fermions with finite momentum cut-off and Fermi interaction. The requirement that the current is conserved up to terms smaller than the energy divided by the cut-off scale, which is the natural condition as gauge invariance is only emerging, produces the same constraint on charges as in the Standard Model. The result holds at a non-perturbative level as the functional integrals are expressed by convergent power series expansions and are analytic in a finite domain.