Type II defects revisited

Abstract

Energy and momentum conservation in the context of a type II, purely transmitting, defect, within a single scalar relativistic two-dimensional field theory, places a severe constraint not only on the nature of the defect but also on the potentials for the scalar fields to either side of it. The constraint is of an unfamiliar type since it requires the Poisson Bracket of the defect contributions to energy and momentum with respect to the defect discontinuity and its conjugate to be balanced by the potential difference across the defect. It is shown that the only solutions to the constraint correspond to the known integrable field theories.

22 pages, typographical errors corrected

References in corpus (8)

• Quantum and classical integrable sine-Gordon model with defect
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Cited by in corpus (2)

• Integrable Defects at Junctions within a Network
• New soliton solutions for Chen-Lee-Liu and Burgers hierarchies and its Bäcklund transformations