Destructive Interference of Dualities

TL;DR

This paper explores how the soldering mechanism can model destructive interference of dualities in quantum field theories, leading to the disappearance of certain modes and the emergence of new fields.

Contribution

It demonstrates that destructive quantum interference of dualities can be represented by soldering, extending its application beyond constructive interference examples.

Findings

Fusion of chiral scalars results in a non-mover field.

Right and left modes vanish after soldering.

Soldering models destructive interference of dualities.

Abstract

The soldering mechanism has been shown to represent the quantum interference effect between self and anti-self dual aspects of a given symmetry. This mechanism was used to show that the massive mode of the 2D Schwinger model results from the constructive interference between the right and the left massless modes of chiral Schwinger models. Similarly, the topologically massive modes resulting from the bosonization of 3D massive Thirring models of opposite mass signatures, are fused into the two massive modes of the 3D Proca model, thanks to the interference of dualities characteristic of the soldering mechanism. In this work, we show that the field theoretical analog of destructive quantum mechanical interference may also be represented by the soldering mechanism. This phenomenon is illustrated by the fusion of two (diffeomorphism) invariant self-dual scalars described by right and left chiral-WZW actions, producing a Hull non-mover field. After fusion, right and left moving modes disappear from the spectrum, displaying the claimed (destructive) interference of dualities.