Topics on the Quantum Dynamics of Chiral Bosons
Everton M. C. Abreu, Clovis Wotzasek

TL;DR
This paper explores various formulations of chiral bosons, analyzing their relationships using canonical methods, and reveals the duality and symmetry properties, including the role of the noton in quantum dynamics and anomalies.
Contribution
It demonstrates the duality between Siegel and Floreanini-Jackiw models without gauge-fixing, highlighting the noton's role in symmetry and quantum anomalies.
Findings
Discloses the presence of a noton in different formulations.
Establishes the duality between Siegel and Floreanini-Jackiw models.
Shows the noton carries symmetry content and influences anomalies.
Abstract
Chiral bosons are important building blocks in the study of supergravity, string theory and quantum Hall effect. Along the last two decades many different formulations have appeared trying to describe the dynamics and the quantization of these curious objects. However two of them have gain special attention among people working on this area: the gauge invariant formulation proposed by Siegel and the noninvariant one put forward by Floreanini and Jackiw. We call these distinct analysis as chiral bosonization schemes (CBS). In this report we make a study of the relationships among many of these different chiral bosonization schemes. This is done in the context canonical framework with two different techniques known as soldering formalism and dual projection formalism. The first considers the phenomenon of interference between chiral modes and the second is able to separate dynamics from…
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Taxonomy
TopicsQuantum, superfluid, helium dynamics
