Purely transmitting integrable defects

TL;DR

This paper explores integrable field theories with purely transmitting defects, focusing on the sine-Gordon model, highlighting classical and quantum features that preserve integrability despite the presence of defects.

Contribution

It introduces and analyzes the properties of purely transmitting defects in integrable models, emphasizing their classical and quantum aspects, which is a novel focus in the field.

Findings

Classical sine-Gordon model with defects maintains integrability.

Quantum field theory with defects exhibits similar integrable features.

Defects allow transmission without reflection, preserving integrability.

Abstract

Some aspects of integrable field theories possessing purely transmitting defects are described. The main example is the sine-Gordon model and several striking features of a classical field theory containing one or more defects are pointed out. Similar features appearing in the associated quantum field theory are also reviewed briefly.