Schwinger terms in two-dimensional gravitation and Kallen's method

TL;DR

This paper investigates the gravitational Schwinger terms in a two-dimensional Weyl fermion model, revealing their connection with linearized gravitational anomalies using Kallen's method.

Contribution

It introduces a novel application of Kallen's technique to relate Schwinger terms with gravitational anomalies in two-dimensional models.

Findings

Schwinger terms are explicitly calculated for the model.

A direct relation between Schwinger terms and gravitational anomalies is established.

The method provides insights into anomaly structures in low-dimensional gravity.

Abstract

We evaluate the gravitational Schwinger terms for the specific two-dimensional model of Weyl fermions in a gravitational background field using a technique introduced by Kallen and find a relation which connects the Schwinger terms with the linearized gravitational anomalies.