Interference Phenomenon for Different Chiral Bosonization Schemes

TL;DR

This paper investigates the relationship between different chiral bosonization schemes using the soldering formalism, revealing a new nonmover field called noton in Siegel's formulation that separates symmetry from dynamics.

Contribution

It introduces a field redefinition that uncovers the noton in Siegel's chiral boson formulation, highlighting its role in symmetry and anomaly structure.

Findings

Discovery of the noton in Siegel's formulation

Separation of symmetry and dynamics in chiral bosons

Quantum interference effects between gauged rightons and leftons

Abstract

We study, in the framework put forward by Siegel\cite{WS} and by Floreanini and Jackiw\cite{FJ} (FJ), the relationship between different chiral bosonization schemes (CBS). This is done in the context of the soldering formalism\cite{MS}, that considers the phenomenon of interference in the quantum field theory\cite{ABW}. We propose a field redefinition that discloses the presence of a noton, a nonmover field, in Siegel's formulation for chiral bosons. The presence of a noton in the Siegel CBS is a new and surprising result, that separates dynamics from symmetry. While the FJ component describes the dynamics, it is the noton that carries the symmetry contents, acquiring dynamics upon quantization and is fully responsible for the Siegel anomaly. The diagonal representation proposed here is used to study the effect of quantum interference between gauged rightons and leftons.