Critical behavior of a nonlocal φ4 field theory and asymptotic freedom

Autores
Trinchero, Roberto Carlos
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The critical behavior of a nonlocal scalar field theory is studied. This theory has a nonlocal kinetic term which involves a real power 1-2α of the Laplacian. The interaction term is the usual local φ4 interaction. The lowest order Feynman diagrams corresponding to coupling constant renormalization, mass renormalization, and field renormalization are computed. Particular features appearing in the renormalization of this nonlocal theory that differ from the case of local theories are studied. The previous calculations lead to the perturbative computation of the coupling constant beta function and critical exponents ν and η. In four dimensions for α<0 this beta function presents asymptotic freedom in the UV. This is remarkable since no non-Abelian vector fields are included. However, this comes at the expense of losing reflection positivity.
Fil: Trinchero, Roberto Carlos. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
Materia
CRITICAL PHENOMENA
FIELD THEORY
NON LOCAL
ASYMPTOTIC FREEDOM
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/105135
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/105135
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network_name_str CONICET Digital (CONICET)
spelling Critical behavior of a nonlocal φ4 field theory and asymptotic freedomTrinchero, Roberto CarlosCRITICAL PHENOMENAFIELD THEORYNON LOCALASYMPTOTIC FREEDOMhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1The critical behavior of a nonlocal scalar field theory is studied. This theory has a nonlocal kinetic term which involves a real power 1-2α of the Laplacian. The interaction term is the usual local φ4 interaction. The lowest order Feynman diagrams corresponding to coupling constant renormalization, mass renormalization, and field renormalization are computed. Particular features appearing in the renormalization of this nonlocal theory that differ from the case of local theories are studied. The previous calculations lead to the perturbative computation of the coupling constant beta function and critical exponents ν and η. In four dimensions for α<0 this beta function presents asymptotic freedom in the UV. This is remarkable since no non-Abelian vector fields are included. However, this comes at the expense of losing reflection positivity.Fil: Trinchero, Roberto Carlos. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; ArgentinaAmerican Physical Society2018-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/105135Trinchero, Roberto Carlos; Critical behavior of a nonlocal φ4 field theory and asymptotic freedom; American Physical Society; Physical Review D: Particles, Fields, Gravitation and Cosmology; 98; 5; 9-2018; 1-82470-0029CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevD.98.056023info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prd/abstract/10.1103/PhysRevD.98.056023info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:28:45Zoai:ri.conicet.gov.ar:11336/105135instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:28:46.106CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Critical behavior of a nonlocal φ4 field theory and asymptotic freedom
title Critical behavior of a nonlocal φ4 field theory and asymptotic freedom
spellingShingle Critical behavior of a nonlocal φ4 field theory and asymptotic freedom
Trinchero, Roberto Carlos
CRITICAL PHENOMENA
FIELD THEORY
NON LOCAL
ASYMPTOTIC FREEDOM
title_short Critical behavior of a nonlocal φ4 field theory and asymptotic freedom
title_full Critical behavior of a nonlocal φ4 field theory and asymptotic freedom
title_fullStr Critical behavior of a nonlocal φ4 field theory and asymptotic freedom
title_full_unstemmed Critical behavior of a nonlocal φ4 field theory and asymptotic freedom
title_sort Critical behavior of a nonlocal φ4 field theory and asymptotic freedom
dc.creator.none.fl_str_mv Trinchero, Roberto Carlos
author Trinchero, Roberto Carlos
author_facet Trinchero, Roberto Carlos
author_role author
dc.subject.none.fl_str_mv CRITICAL PHENOMENA
FIELD THEORY
NON LOCAL
ASYMPTOTIC FREEDOM
topic CRITICAL PHENOMENA
FIELD THEORY
NON LOCAL
ASYMPTOTIC FREEDOM
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The critical behavior of a nonlocal scalar field theory is studied. This theory has a nonlocal kinetic term which involves a real power 1-2α of the Laplacian. The interaction term is the usual local φ4 interaction. The lowest order Feynman diagrams corresponding to coupling constant renormalization, mass renormalization, and field renormalization are computed. Particular features appearing in the renormalization of this nonlocal theory that differ from the case of local theories are studied. The previous calculations lead to the perturbative computation of the coupling constant beta function and critical exponents ν and η. In four dimensions for α<0 this beta function presents asymptotic freedom in the UV. This is remarkable since no non-Abelian vector fields are included. However, this comes at the expense of losing reflection positivity.
Fil: Trinchero, Roberto Carlos. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
description The critical behavior of a nonlocal scalar field theory is studied. This theory has a nonlocal kinetic term which involves a real power 1-2α of the Laplacian. The interaction term is the usual local φ4 interaction. The lowest order Feynman diagrams corresponding to coupling constant renormalization, mass renormalization, and field renormalization are computed. Particular features appearing in the renormalization of this nonlocal theory that differ from the case of local theories are studied. The previous calculations lead to the perturbative computation of the coupling constant beta function and critical exponents ν and η. In four dimensions for α<0 this beta function presents asymptotic freedom in the UV. This is remarkable since no non-Abelian vector fields are included. However, this comes at the expense of losing reflection positivity.
publishDate 2018
dc.date.none.fl_str_mv 2018-09
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/105135
Trinchero, Roberto Carlos; Critical behavior of a nonlocal φ4 field theory and asymptotic freedom; American Physical Society; Physical Review D: Particles, Fields, Gravitation and Cosmology; 98; 5; 9-2018; 1-8
2470-0029
CONICET Digital
CONICET
url http://hdl.handle.net/11336/105135
identifier_str_mv Trinchero, Roberto Carlos; Critical behavior of a nonlocal φ4 field theory and asymptotic freedom; American Physical Society; Physical Review D: Particles, Fields, Gravitation and Cosmology; 98; 5; 9-2018; 1-8
2470-0029
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevD.98.056023
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prd/abstract/10.1103/PhysRevD.98.056023
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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