On the Existence of Kink-(Soliton-)States

Details On the Existence of Kink-(Soliton-)States On the Existence of Kink-(Soliton-)States

1995-12-14

arxiv.org/abs/hep-th/9512100v5

Rev.Math.Phys. 8 (1996) 1187-1204

Physics

High Energy Physics

High Energy Physics - Theory

23pp, latex2e, replaced version

Scientific paper

10.1142/S0129055X96000433

There are several two dimensional quantum field theory models which are equipped with different vacuum states. For example the Sine-Gordon- and the $\phi^4_2$-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 $P(\phi)_2$-models. We have shown that for a large class of vacuum states, including the vacua of the $P(\phi)_2$-models, there is a natural way to construct an interpolating kink-state.

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