Explicit construction of constrained instantons

dc.creatorNielsen, Morten
dc.creatorNielsen, N. K.
dc.date1999-12-01
dc.date.accessioned2026-07-07T12:03:55Z
dc.date.available2026-07-07T12:03:55Z
dc.descriptionInstantons in massless theories do not carry over to massive theories due to Derrick's theorem. This theorem can, however, be circumvented, if a constraint that restricts the scale of the instanton is imposed on the theory. Constrained instantons are considered in four dimensions in phi^4 theory and SU(2) Yang-Mills-Higgs theory. In each of these theories a calculational sceme is set up and solved in the lowest few orders in the mass parameter in such a way that the need for a constraint is exhibited clearly. Constrained instantons are shown to exist as finite action solutions of the field equations with exponential fall off only for specific constraints that are unique in lowest order in the mass parameter in question.
dc.description15 pages, revtex
dc.identifierhttps://arxiv.org/abs/hep-th/9912006
dc.identifierhttp://arxiv.org/abs/hep-th/9912006
dc.identifierPhys.Rev.D61:105020,2000
dc.identifierdoi:10.1103/PhysRevD.61.105020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/207959
dc.subjectHigh Energy Physics - Theory
dc.titleExplicit construction of constrained instantons
dc.typetext

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