Semiclassical Particle Spectrum of Double Sine-Gordon Model

Details Semiclassical Particle Spectrum of Double Sine-Gordon Model Semiclassical Particle Spectrum of Double Sine-Gordon Model

2004-02-23

arxiv.org/abs/hep-th/0402179v1

Nucl.Phys. B687 (2004) 189-219

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, latex, 8 figures

Scientific paper

10.1016/j.nuclphysb.2004.04.003

We present new theoretical results on the spectrum of the quantum field theory of the Double Sine Gordon model. This non-integrable model displays different varieties of kink excitations and bound states thereof. Their mass can be obtained by using a semiclassical expression of the matrix elements of the local fields. In certain regions of the coupling-constants space the semiclassical method provides a picture which is complementary to the one of the Form Factor Perturbation Theory, since the two techniques give information about the mass of different types of excitations. In other regions the two methods are comparable, since they describe the same kind of particles. Furthermore, the semiclassical picture is particularly suited to describe the phenomenon of false vacuum decay, and it also accounts in a natural way the presence of resonance states and the occurrence of a phase transition.

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