On anomalies in effective models with nonlinear symmetry realization

TL;DR

This paper investigates anomalies in models with nonlinear symmetry realization, showing they can produce symmetry-breaking amplitudes and proposing the use of effective actions to understand low-energy dynamics.

Contribution

It introduces the concept that models with nonlinear symmetry realization can have anomalies affecting their amplitudes and suggests using effective actions for anomaly analysis.

Findings

Nonlinear symmetry models can exhibit anomalous amplitudes breaking original symmetry.

Effective actions derived from nonlinear symmetry realizations are crucial for anomaly-induced dynamics.

An illustrative example with nonlinear conformal symmetry is provided.

Abstract

Anomalous features of models with nonlinear symmetry realization are addressed. It is shown that such models can have anomalous amplitudes breaking of its original symmetry realization. An illustrative example of a simple models with a nonlinear conformal symmetry realization is given. It is argued that the effective action obtained via nonlinear symmetry realization should be used to obtain an anomaly-induced action which is to drive the low energy dynamics.