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Zbl 0921.35148
Delfino, G.; Mussardo, G.; Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, and International Centre of Theoretical Physics, Strada Costiera 12, 34014 Trieste
Non-integrable aspects of the multi-frequency sine-Gordon model.
(English)
[J] Nucl. Phys., B 516, No.3, 675-703 (1998). ISSN 0550-3213

Summary: We consider the two-dimensional quantum field theory of a scalar field self-interacting via two periodic terms of frequencies $\alpha{}$ and $\beta{}$. Looking at the theory as a perturbed sine-Gordon model, we use form factor perturbation theory to analyse the evolution of the spectrum of particle excitations. We show how, within this formalism, the non-locality of the perturbation with respect to the solitons is responsible for their confinement in the perturbed theory. The effects of the frequency ratio $\alpha/\beta$ being a rational or irrational number and the occurrence of massless flows from the Gaussian to the Ising fixed point are also discussed. A generalisation of the Ashkin-Teller model and the massive Schwinger model are presented as examples of application of the formalism.
MSC 2000:
*35Q53 KdV-like equations
81T10 Model quantum field theories

Keywords: perturbed sine-Gordon model; spectrum of particle excitations; Ashkin-Teller model; massive Schwinger model

Cited in: Zbl 0998.81062

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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