Non-perturbative λΦ4 in D=1+1: an example of the constructive quantum field theory approach in a schematic way
- Autores
- Gueron, Jorge; Leston, Mauricio
- Año de publicación
- 2013
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- During the '70, several relativistic quantum field theory models in D = 1 + 1 and also in D = 2 + 1 have been constructed in a non-perturbative way. That was done in the so-called constructive quantum field theory approach, whose main results have been obtained by a clever use of Euclidean functional methods. Although in the construction of a single model there are several technical steps, some of them involving long proofs, the constructive quantum field theory approach contains conceptual insights about relativistic quantum field theory that deserved to be known and which are accessible without entering in technical details. The purpose of this note is to illustrate such insights by providing an oversimplified schematic exposition of the simple case of lambda(Phi)4 (with m > 0) in D = 1 + 1. Because of the absence of ultraviolet divergences in its perturbative version, this simple example , although does not capture all the difficulties in the constructive quantum field theory approach, allows to stress those difficulties inherent to the non-perturbative definition. We have made an effort in order to avoid several of the long technical intermediate steps without missing the main ideas and making contact with the usual language of the perturbative approach.
Fil: Gueron, Jorge. Universidad Católica Argentina. Facultad de Ciencias Fisico Matemáticas e Ingeniería. Departamento de Matemática; Argentina
Fil: Leston, Mauricio. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; Argentina - Materia
-
FIELD THEORIES IN LOWER DIMENSIONS
NON PERTURBATIVES EFFECTS - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/17036
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Non-perturbative λΦ4 in D=1+1: an example of the constructive quantum field theory approach in a schematic wayGueron, JorgeLeston, MauricioFIELD THEORIES IN LOWER DIMENSIONSNON PERTURBATIVES EFFECTShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1During the '70, several relativistic quantum field theory models in D = 1 + 1 and also in D = 2 + 1 have been constructed in a non-perturbative way. That was done in the so-called constructive quantum field theory approach, whose main results have been obtained by a clever use of Euclidean functional methods. Although in the construction of a single model there are several technical steps, some of them involving long proofs, the constructive quantum field theory approach contains conceptual insights about relativistic quantum field theory that deserved to be known and which are accessible without entering in technical details. The purpose of this note is to illustrate such insights by providing an oversimplified schematic exposition of the simple case of lambda(Phi)4 (with m > 0) in D = 1 + 1. Because of the absence of ultraviolet divergences in its perturbative version, this simple example , although does not capture all the difficulties in the constructive quantum field theory approach, allows to stress those difficulties inherent to the non-perturbative definition. We have made an effort in order to avoid several of the long technical intermediate steps without missing the main ideas and making contact with the usual language of the perturbative approach.Fil: Gueron, Jorge. Universidad Católica Argentina. Facultad de Ciencias Fisico Matemáticas e Ingeniería. Departamento de Matemática; ArgentinaFil: Leston, Mauricio. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; ArgentinaSpringer2013-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/17036Gueron, Jorge; Leston, Mauricio; Non-perturbative λΦ4 in D=1+1: an example of the constructive quantum field theory approach in a schematic way; Springer; Journal Of High Energy Physics; 8; 52; 8-2013; 1-531029-8479enginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/JHEP08(2013)052info:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP08(2013)052info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:43:46Zoai:ri.conicet.gov.ar:11336/17036instacron: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 09:43:46.306CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Non-perturbative λΦ4 in D=1+1: an example of the constructive quantum field theory approach in a schematic way |
title |
Non-perturbative λΦ4 in D=1+1: an example of the constructive quantum field theory approach in a schematic way |
spellingShingle |
Non-perturbative λΦ4 in D=1+1: an example of the constructive quantum field theory approach in a schematic way Gueron, Jorge FIELD THEORIES IN LOWER DIMENSIONS NON PERTURBATIVES EFFECTS |
title_short |
Non-perturbative λΦ4 in D=1+1: an example of the constructive quantum field theory approach in a schematic way |
title_full |
Non-perturbative λΦ4 in D=1+1: an example of the constructive quantum field theory approach in a schematic way |
title_fullStr |
Non-perturbative λΦ4 in D=1+1: an example of the constructive quantum field theory approach in a schematic way |
title_full_unstemmed |
Non-perturbative λΦ4 in D=1+1: an example of the constructive quantum field theory approach in a schematic way |
title_sort |
Non-perturbative λΦ4 in D=1+1: an example of the constructive quantum field theory approach in a schematic way |
dc.creator.none.fl_str_mv |
Gueron, Jorge Leston, Mauricio |
author |
Gueron, Jorge |
author_facet |
Gueron, Jorge Leston, Mauricio |
author_role |
author |
author2 |
Leston, Mauricio |
author2_role |
author |
dc.subject.none.fl_str_mv |
FIELD THEORIES IN LOWER DIMENSIONS NON PERTURBATIVES EFFECTS |
topic |
FIELD THEORIES IN LOWER DIMENSIONS NON PERTURBATIVES EFFECTS |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
During the '70, several relativistic quantum field theory models in D = 1 + 1 and also in D = 2 + 1 have been constructed in a non-perturbative way. That was done in the so-called constructive quantum field theory approach, whose main results have been obtained by a clever use of Euclidean functional methods. Although in the construction of a single model there are several technical steps, some of them involving long proofs, the constructive quantum field theory approach contains conceptual insights about relativistic quantum field theory that deserved to be known and which are accessible without entering in technical details. The purpose of this note is to illustrate such insights by providing an oversimplified schematic exposition of the simple case of lambda(Phi)4 (with m > 0) in D = 1 + 1. Because of the absence of ultraviolet divergences in its perturbative version, this simple example , although does not capture all the difficulties in the constructive quantum field theory approach, allows to stress those difficulties inherent to the non-perturbative definition. We have made an effort in order to avoid several of the long technical intermediate steps without missing the main ideas and making contact with the usual language of the perturbative approach. Fil: Gueron, Jorge. Universidad Católica Argentina. Facultad de Ciencias Fisico Matemáticas e Ingeniería. Departamento de Matemática; Argentina Fil: Leston, Mauricio. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; Argentina |
description |
During the '70, several relativistic quantum field theory models in D = 1 + 1 and also in D = 2 + 1 have been constructed in a non-perturbative way. That was done in the so-called constructive quantum field theory approach, whose main results have been obtained by a clever use of Euclidean functional methods. Although in the construction of a single model there are several technical steps, some of them involving long proofs, the constructive quantum field theory approach contains conceptual insights about relativistic quantum field theory that deserved to be known and which are accessible without entering in technical details. The purpose of this note is to illustrate such insights by providing an oversimplified schematic exposition of the simple case of lambda(Phi)4 (with m > 0) in D = 1 + 1. Because of the absence of ultraviolet divergences in its perturbative version, this simple example , although does not capture all the difficulties in the constructive quantum field theory approach, allows to stress those difficulties inherent to the non-perturbative definition. We have made an effort in order to avoid several of the long technical intermediate steps without missing the main ideas and making contact with the usual language of the perturbative approach. |
publishDate |
2013 |
dc.date.none.fl_str_mv |
2013-08 |
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/11336/17036 Gueron, Jorge; Leston, Mauricio; Non-perturbative λΦ4 in D=1+1: an example of the constructive quantum field theory approach in a schematic way; Springer; Journal Of High Energy Physics; 8; 52; 8-2013; 1-53 1029-8479 |
url |
http://hdl.handle.net/11336/17036 |
identifier_str_mv |
Gueron, Jorge; Leston, Mauricio; Non-perturbative λΦ4 in D=1+1: an example of the constructive quantum field theory approach in a schematic way; Springer; Journal Of High Energy Physics; 8; 52; 8-2013; 1-53 1029-8479 |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/JHEP08(2013)052 info:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP08(2013)052 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
dc.format.none.fl_str_mv |
application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
Springer |
publisher.none.fl_str_mv |
Springer |
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reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) |
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CONICET Digital (CONICET) |
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Consejo Nacional de Investigaciones Científicas y Técnicas |
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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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13.070432 |