Schwinger terms in gravitation in two dimensions as a consequence of the gravitational anomaly

TL;DR

This paper investigates the origin of Schwinger terms in two-dimensional gravity by analyzing the gravitational anomaly through Hamiltonian path integral methods.

Contribution

It demonstrates that the Schwinger term in 2D gravity arises as a consequence of the gravitational (Einstein) anomaly using Hamiltonian path integral techniques.

Findings

Schwinger term derived from gravitational anomaly

Connection established between anomaly and constraint algebra

Method applicable to two-dimensional gravitational models

Abstract

We compute the Schwinger term in the gravitational constraints in two dimensions, starting from the path integral in Hamiltonian form and the Einstein anomaly.