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On the Existence of Kink-(Soliton-)States

Dirk Schlingemann

This version (hep-th/9512100v1) was not stored by arXiv. A subsequent replacement was made before versioning was introduced.
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Résumé : There are several two dimensional quantum field theory models which are equipped with different vacuum states. For example the Sine-Gordon- and the $φ^4_2$-model. It is known that in these models there are also states, called soliton- or kink-states, which interpolate different vacua. We consider the following question: Which are the properties a pair of vacuum sates must have, such that an interpolating kink-state can be constructed? Since we are interested in structural aspects and not in specific details of a given model, we are going to discuss this question in the framework of algebraic quantum field theory which includes, for example, the $P(φ)_2$-models. We have shown that for a large class of vacuum states, including the vacua of the $P(φ)_2$-models, there is a natural way to construct an interpolating kink-state.

Soumis à arXiv le 14 Déc. 1995