Self-interacting scalar fields with geometrical interpretations

Physics

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Scientific paper

The idea is advanced that particles arise as distortions of a reimannian background and that such distortions represent particular conformally flat solutions of the ``cosmological'' Einstein equations with extremely large ``cosmological'' constants. Particle interactions then appear as gravitational in origin. The idea is illustrated with the help of two scalar models. In the first one the ``De Sitter'' space can be interpreted as a relativistic field whose ground state undergoes a transition from degenerate to nondegenerate for the critical value of some parameter. In the second one a deeper understanding is reached of the role of the ``De Sitter'' space in confinement problems and of the nature of the ensemble of vacuum states recently introduced in conformally invariant field theories by Fubini.

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