From supersymmetric quantum mechanics to scalar field theories

Detalhes bibliográficos
Autor(a) principal: Bemfica, Fabio Sperotto
Data de Publicação: 2017
Outros Autores: Bazeia, D.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRN
Texto Completo: https://repositorio.ufrn.br/handle/123456789/30652
Resumo: In this work, we address the reconstruction problem, investigating the construction of field theories from supersymmetric quantum mechanics. The procedure is reviewed, starting from reflectionless potentials that admit one and two bound states. We show that, although the field theory reconstructed from the potential that supports a single bound state is unique, it may break unicity in the case of two bound states. We illustrate this with an example, which leads us to two distinct field theories
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spelling Bemfica, Fabio SperottoBazeia, D.2020-11-24T15:32:06Z2020-11-24T15:32:06Z2017-04-11BAZEIA, D.; BEMFICA, F. S.. From supersymmetric quantum mechanics to scalar field theories. Physical Review D, v. 95, p. 085008, 2017. Disponível em: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.95.085008 Acesso em: 10 set. 2020 https://doi.org/10.1103/PhysRevD.95.085008.2470-00102470-0029https://repositorio.ufrn.br/handle/123456789/3065210.1103/PhysRevD.95.085008American Physical SocietySupersymmetricQuantum mechanicsScalar field theoriesFrom supersymmetric quantum mechanics to scalar field theoriesinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleIn this work, we address the reconstruction problem, investigating the construction of field theories from supersymmetric quantum mechanics. The procedure is reviewed, starting from reflectionless potentials that admit one and two bound states. We show that, although the field theory reconstructed from the potential that supports a single bound state is unique, it may break unicity in the case of two bound states. We illustrate this with an example, which leads us to two distinct field theoriesengreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNinfo:eu-repo/semantics/openAccessORIGINALSupersymmetricQuantumMechanics_BEMFICA_2017.pdfSupersymmetricQuantumMechanics_BEMFICA_2017.pdfapplication/pdf132280https://repositorio.ufrn.br/bitstream/123456789/30652/1/SupersymmetricQuantumMechanics_BEMFICA_2017.pdf2254962e9844a2ef502da497d0e30847MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81484https://repositorio.ufrn.br/bitstream/123456789/30652/2/license.txte9597aa2854d128fd968be5edc8a28d9MD52TEXTSupersymmetricQuantumMechanics_BEMFICA_2017.pdf.txtSupersymmetricQuantumMechanics_BEMFICA_2017.pdf.txtExtracted texttext/plain20805https://repositorio.ufrn.br/bitstream/123456789/30652/3/SupersymmetricQuantumMechanics_BEMFICA_2017.pdf.txt3950e2db944c7bab68cd4bc9e9a7806cMD53THUMBNAILSupersymmetricQuantumMechanics_BEMFICA_2017.pdf.jpgSupersymmetricQuantumMechanics_BEMFICA_2017.pdf.jpgGenerated Thumbnailimage/jpeg1702https://repositorio.ufrn.br/bitstream/123456789/30652/4/SupersymmetricQuantumMechanics_BEMFICA_2017.pdf.jpg0f2b4b8957190f3950c85eacf6bc9c92MD54123456789/306522020-11-29 04:45:26.225oai:https://repositorio.ufrn.br:123456789/30652Tk9OLUVYQ0xVU0lWRSBESVNUUklCVVRJT04gTElDRU5TRQoKCkJ5IHNpZ25pbmcgYW5kIGRlbGl2ZXJpbmcgdGhpcyBsaWNlbnNlLCBNci4gKGF1dGhvciBvciBjb3B5cmlnaHQgaG9sZGVyKToKCgphKSBHcmFudHMgdGhlIFVuaXZlcnNpZGFkZSBGZWRlcmFsIFJpbyBHcmFuZGUgZG8gTm9ydGUgdGhlIG5vbi1leGNsdXNpdmUgcmlnaHQgb2YKcmVwcm9kdWNlLCBjb252ZXJ0IChhcyBkZWZpbmVkIGJlbG93KSwgY29tbXVuaWNhdGUgYW5kIC8gb3IKZGlzdHJpYnV0ZSB0aGUgZGVsaXZlcmVkIGRvY3VtZW50IChpbmNsdWRpbmcgYWJzdHJhY3QgLyBhYnN0cmFjdCkgaW4KZGlnaXRhbCBvciBwcmludGVkIGZvcm1hdCBhbmQgaW4gYW55IG1lZGl1bS4KCmIpIERlY2xhcmVzIHRoYXQgdGhlIGRvY3VtZW50IHN1Ym1pdHRlZCBpcyBpdHMgb3JpZ2luYWwgd29yaywgYW5kIHRoYXQKeW91IGhhdmUgdGhlIHJpZ2h0IHRvIGdyYW50IHRoZSByaWdodHMgY29udGFpbmVkIGluIHRoaXMgbGljZW5zZS4gRGVjbGFyZXMKdGhhdCB0aGUgZGVsaXZlcnkgb2YgdGhlIGRvY3VtZW50IGRvZXMgbm90IGluZnJpbmdlLCBhcyBmYXIgYXMgaXQgaXMKdGhlIHJpZ2h0cyBvZiBhbnkgb3RoZXIgcGVyc29uIG9yIGVudGl0eS4KCmMpIElmIHRoZSBkb2N1bWVudCBkZWxpdmVyZWQgY29udGFpbnMgbWF0ZXJpYWwgd2hpY2ggZG9lcyBub3QKcmlnaHRzLCBkZWNsYXJlcyB0aGF0IGl0IGhhcyBvYnRhaW5lZCBhdXRob3JpemF0aW9uIGZyb20gdGhlIGhvbGRlciBvZiB0aGUKY29weXJpZ2h0IHRvIGdyYW50IHRoZSBVbml2ZXJzaWRhZGUgRmVkZXJhbCBkbyBSaW8gR3JhbmRlIGRvIE5vcnRlIHRoZSByaWdodHMgcmVxdWlyZWQgYnkgdGhpcyBsaWNlbnNlLCBhbmQgdGhhdCB0aGlzIG1hdGVyaWFsIHdob3NlIHJpZ2h0cyBhcmUgb2YKdGhpcmQgcGFydGllcyBpcyBjbGVhcmx5IGlkZW50aWZpZWQgYW5kIHJlY29nbml6ZWQgaW4gdGhlIHRleHQgb3IKY29udGVudCBvZiB0aGUgZG9jdW1lbnQgZGVsaXZlcmVkLgoKSWYgdGhlIGRvY3VtZW50IHN1Ym1pdHRlZCBpcyBiYXNlZCBvbiBmdW5kZWQgb3Igc3VwcG9ydGVkIHdvcmsKYnkgYW5vdGhlciBpbnN0aXR1dGlvbiBvdGhlciB0aGFuIHRoZSBVbml2ZXJzaWRhZGUgRmVkZXJhbCBkbyBSaW8gR3JhbmRlIGRvIE5vcnRlLCBkZWNsYXJlcyB0aGF0IGl0IGhhcyBmdWxmaWxsZWQgYW55IG9ibGlnYXRpb25zIHJlcXVpcmVkIGJ5IHRoZSByZXNwZWN0aXZlIGFncmVlbWVudCBvciBhZ3JlZW1lbnQuCgpUaGUgVW5pdmVyc2lkYWRlIEZlZGVyYWwgZG8gUmlvIEdyYW5kZSBkbyBOb3J0ZSB3aWxsIGNsZWFybHkgaWRlbnRpZnkgaXRzIG5hbWUgKHMpIGFzIHRoZSBhdXRob3IgKHMpIG9yIGhvbGRlciAocykgb2YgdGhlIGRvY3VtZW50J3MgcmlnaHRzCmRlbGl2ZXJlZCwgYW5kIHdpbGwgbm90IG1ha2UgYW55IGNoYW5nZXMsIG90aGVyIHRoYW4gdGhvc2UgcGVybWl0dGVkIGJ5CnRoaXMgbGljZW5zZQo=Repositório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2020-11-29T07:45:26Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false
dc.title.pt_BR.fl_str_mv From supersymmetric quantum mechanics to scalar field theories
title From supersymmetric quantum mechanics to scalar field theories
spellingShingle From supersymmetric quantum mechanics to scalar field theories
Bemfica, Fabio Sperotto
Supersymmetric
Quantum mechanics
Scalar field theories
title_short From supersymmetric quantum mechanics to scalar field theories
title_full From supersymmetric quantum mechanics to scalar field theories
title_fullStr From supersymmetric quantum mechanics to scalar field theories
title_full_unstemmed From supersymmetric quantum mechanics to scalar field theories
title_sort From supersymmetric quantum mechanics to scalar field theories
author Bemfica, Fabio Sperotto
author_facet Bemfica, Fabio Sperotto
Bazeia, D.
author_role author
author2 Bazeia, D.
author2_role author
dc.contributor.author.fl_str_mv Bemfica, Fabio Sperotto
Bazeia, D.
dc.subject.por.fl_str_mv Supersymmetric
Quantum mechanics
Scalar field theories
topic Supersymmetric
Quantum mechanics
Scalar field theories
description In this work, we address the reconstruction problem, investigating the construction of field theories from supersymmetric quantum mechanics. The procedure is reviewed, starting from reflectionless potentials that admit one and two bound states. We show that, although the field theory reconstructed from the potential that supports a single bound state is unique, it may break unicity in the case of two bound states. We illustrate this with an example, which leads us to two distinct field theories
publishDate 2017
dc.date.issued.fl_str_mv 2017-04-11
dc.date.accessioned.fl_str_mv 2020-11-24T15:32:06Z
dc.date.available.fl_str_mv 2020-11-24T15:32:06Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.citation.fl_str_mv BAZEIA, D.; BEMFICA, F. S.. From supersymmetric quantum mechanics to scalar field theories. Physical Review D, v. 95, p. 085008, 2017. Disponível em: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.95.085008 Acesso em: 10 set. 2020 https://doi.org/10.1103/PhysRevD.95.085008.
dc.identifier.uri.fl_str_mv https://repositorio.ufrn.br/handle/123456789/30652
dc.identifier.issn.none.fl_str_mv 2470-0010
2470-0029
dc.identifier.doi.none.fl_str_mv 10.1103/PhysRevD.95.085008
identifier_str_mv BAZEIA, D.; BEMFICA, F. S.. From supersymmetric quantum mechanics to scalar field theories. Physical Review D, v. 95, p. 085008, 2017. Disponível em: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.95.085008 Acesso em: 10 set. 2020 https://doi.org/10.1103/PhysRevD.95.085008.
2470-0010
2470-0029
10.1103/PhysRevD.95.085008
url https://repositorio.ufrn.br/handle/123456789/30652
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFRN
instname:Universidade Federal do Rio Grande do Norte (UFRN)
instacron:UFRN
instname_str Universidade Federal do Rio Grande do Norte (UFRN)
instacron_str UFRN
institution UFRN
reponame_str Repositório Institucional da UFRN
collection Repositório Institucional da UFRN
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