Type II defects revisited

TY - JOUR

T1 - Type II defects revisited

AU - Corrigan, (Francis) Edward

AU - Zambon, Cristina

N1 - © 2018, The Author(s).

PY - 2018/9/5

Y1 - 2018/9/5

N2 - 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.

AB - 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.

KW - Field Theories in Lower Dimensions Integrable Field Theories

UR - https://arxiv.org/abs/1807.05747

U2 - 10.1007/JHEP09(2018)019

DO - 10.1007/JHEP09(2018)019

M3 - Article

SN - 1029-8479

SP - 1

EP - 23

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

ER -