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dc.creatorTrinchero, Roberto Carlos-
dc.date2019-02-22T17:08:20Z-
dc.date2019-02-22T17:08:20Z-
dc.date2018-02-
dc.date2019-02-12T14:37:38Z-
dc.date.accessioned2019-04-29T15:53:31Z-
dc.date.available2019-04-29T15:53:31Z-
dc.date.issued2018-02-
dc.identifierTrinchero, Roberto Carlos; Examples of reflection positive field theories; World Scientific; International Journal of Geometric Methods in Modern Physics; 15; 2; 2-2018; 1-16-
dc.identifier0219-8878-
dc.identifierhttp://hdl.handle.net/11336/70707-
dc.identifierCONICET Digital-
dc.identifierCONICET-
dc.identifier.urihttp://rodna.bn.gov.ar:8080/jspui/handle/bnmm/304785-
dc.descriptionThe requirement of reflection positivity (RP) for Euclidean field theories is considered. This is done for the cases of a scalar field, a higher derivative scalar field theory and the scalar field theory defined on a non-integer dimensional space (NIDS). It is shown that regarding RP, the analytical structure of the corresponding Schwinger functions plays an important role. For the higher derivative scalar field theory, RP does not hold. However for the scalar field theory on a NIDS, RP holds in a certain range of dimensions where the corresponding Minkowskian field is defined on a Hilbert space with a positive definite scalar product that provides a unitary representation of the Poincaré group. In addition, and motivated by the last example, it is shown that, under certain conditions, one can construct non-local reflection positive Euclidean field theories starting from the corrected two point functions of interacting local field theories.-
dc.descriptionFil: Trinchero, Roberto Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina-
dc.formatapplication/pdf-
dc.formatapplication/pdf-
dc.formatapplication/pdf-
dc.languageeng-
dc.publisherWorld Scientific-
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1142/S0219887818500226-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/abs/10.1142/S0219887818500226-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1703.07735-
dc.rightsinfo:eu-repo/semantics/openAccess-
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/-
dc.sourcereponame:CONICET Digital (CONICET)-
dc.sourceinstname:Consejo Nacional de Investigaciones Científicas y Técnicas-
dc.sourceinstacron:CONICET-
dc.subjectNON-INTEGER DIMENSIONAL SPACE-
dc.subjectNON-LOCAL FIELD THEORIES-
dc.subjectREFLECTION POSITIVITY-
dc.subjectAstronomía-
dc.subjectCiencias Físicas-
dc.subjectCIENCIAS NATURALES Y EXACTAS-
dc.titleExamples of reflection positive field theories-
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:eu-repo/semantics/publishedVersion-
dc.typeinfo:ar-repo/semantics/articulo-
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