Spontaneous Symmetry Breaking and Reflectionless Scattering Data

Details Spontaneous Symmetry Breaking and Reflectionless Scattering Data Spontaneous Symmetry Breaking and Reflectionless Scattering Data

2002-06-21

arxiv.org/abs/hep-th/0206199v1

Phys.Rev.D67:025003,2003

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 4 figures

Scientific paper

10.1103/PhysRevD.67.025003

We consider the question which potentials in the action of a (1+1) dimensional scalar field theory allowing for spontaneous symmetry breaking have quantum fluctuations corresponding to reflectionless scattering data. The general problem of restoration from known scattering data is formulated and a number of explicit examples is given. Only certain sets of reflectionless scattering data correspond to symmetry breaking and all restored potentials are similar either to the Phi**4-model or to the sine-Gordon model.

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