Canonical transformations and soldering

TL;DR

This paper explores the relationship between soldering formalism and canonical transformations, demonstrating their complementarity through examples involving gauged chiral bosons and self-dual models.

Contribution

It reveals the complementary nature of soldering formalism and canonical transformations with detailed examples in lower-dimensional models.

Findings

Soldering formalism and canonical transformations are shown to be complementary.

Detailed analysis of gauged chiral bosons in two dimensions.

Analysis of self-dual models in three dimensions.

Abstract

We show that the recently developed soldering formalism in the Lagrangian approach and canonical transformations in the Hamiltonian approach are complementary. The examples of gauged chiral bosons in two dimensions and self-dual models in three dimensions are discussed in details.