Scalar field theory in 3+1 dimensions

We study the existence of a stable ground state for the most general renormalizable single scalar field theory in four dimensions within a variational approach. In its regularized version we find a theory with an energy density which is not bound from below but with a metastable local minimum such t...

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Detalles Bibliográficos
Autores: Koniuk, R., Tarrach, R., 1948-
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1985
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/12434
Acceso en línea:https://hdl.handle.net/2445/12434
Access Level:acceso abierto
Palabra clave:Teoria quàntica
Teoria de camps (Física)
Partícules (Física nuclear)
Relativitat especial (Física)
Quantum theory
Field theory (Physics)
Particles (Nuclear physics)
Special relativity (Physics)
Descripción
Sumario:We study the existence of a stable ground state for the most general renormalizable single scalar field theory in four dimensions within a variational approach. In its regularized version we find a theory with an energy density which is not bound from below but with a metastable local minimum such that when the cutoff is removed the theory is interacting, finite, and possesses a stable ground state. In fact, we find that this theory is not stable unless it is symmetric. This generalizes Stevenson’s recent results on even φ 4 theory.