Determination and Reduction of Large Diffeomorphisms

TL;DR

This paper explores methods to identify and simplify large diffeomorphisms in Hamiltonian diffeomorphism-invariant theories, focusing on their classification and reduction outside the identity component.

Contribution

It introduces a novel approach for determining and reducing large diffeomorphisms in the Hamiltonian framework, advancing understanding of their structure.

Findings

A new classification scheme for large diffeomorphisms

A reduction technique simplifying their analysis

Insights into their role in diffeomorphism-invariant theories

Abstract

Within the Hamiltonian formulation of diffeomorphism invariant theories we address the problem of how to determine and how to reduce diffeomorphisms outside the identity component.