Gravitational and Schwinger model anomalies: how far can the analogy go?

TL;DR

This paper explores the relationship between gravitational anomalies and the Schwinger model in two-dimensional gravity, highlighting both similarities and fundamental differences through a general anomaly treatment.

Contribution

It provides a comprehensive analysis of anomalies in 2D gravity, revealing how the gravitational model extends beyond the Schwinger model analogy with regularization-dependent parameters.

Findings

Two regularization parameters influence the effective action.

The gravitational model exhibits anomalies with no Schwinger model analogy.

The analogy is specific to a particular parameter choice.

Abstract

We describe the most general treatment of all anomalies both for chiral and massless Dirac fermions, in two-dimensional gravity. It is shown that for this purpose two regularization dependent parameters are present in the effective action. Analogy to the \sc\ model is displayed corresponding to a specific choice of the second parameter, thus showing that the gravitational model contains \a\ relations having no analogy in the \sc\ model.