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Vacuum Energy for a Scalar Field with Self-Interaction in (1 + 1) Dimensions

We calculate the vacuum (Casimir) energy for a scalar field with ϕ4 self-interaction in (1 + 1) dimensions non perturbatively, i.e., in all orders of the self-interaction. We consider massive and massless fields in a finite box with Dirichlet boundary conditions and on the whole axis as well. For strong coupling, the vacuum energy is negative indicating some instability.

Identiferoai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:85380
Date08 May 2023
CreatorsBordag, Michael
PublisherMDPI
Source SetsHochschulschriftenserver (HSSS) der SLUB Dresden
LanguageEnglish
Detected LanguageEnglish
Typeinfo:eu-repo/semantics/publishedVersion, doc-type:article, info:eu-repo/semantics/article, doc-type:Text
Rightsinfo:eu-repo/semantics/openAccess
Relation2218-1997, 55

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