Non-renormalization conditions for four-gluon scattering in supersymmetric string and field theory
Autor(a) principal: | |
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Data de Publicação: | 2009 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1088/1126-6708/2009/11/063 http://hdl.handle.net/11449/116977 |
Resumo: | The constraints imposed by maximal supersymmetry on multi-loop contributions to the scattering of four open superstrings in the U(N) theory are examined by use of the pure spinor formalism. The double-trace term k(2)t(8)(trF(2))(2) (where k represents an external momentum and F the Yang-Mills field strength) only receives contributions from L <= 2 (where L is the loop number) while the single-trace term k(2)t(8)(trF(4)) receives contributions from all L. These statements are verified up to L = 5, but arguments based on supersymmetry suggest they extend to all L. This explains why the single-trace contributions to low energy maximally supersymmetric Yang-Mills field theory are more divergent in the ultraviolet than the double-trace contributions. We also comment further on the constraints on closed string amplitudes and their implications for ultraviolet divergences in N = 8 supergravity. |
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Repositório Institucional da UNESP |
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Non-renormalization conditions for four-gluon scattering in supersymmetric string and field theoryExtended SupersymmetryGauge SymmetryField Theories in Higher DimensionsThe constraints imposed by maximal supersymmetry on multi-loop contributions to the scattering of four open superstrings in the U(N) theory are examined by use of the pure spinor formalism. The double-trace term k(2)t(8)(trF(2))(2) (where k represents an external momentum and F the Yang-Mills field strength) only receives contributions from L <= 2 (where L is the loop number) while the single-trace term k(2)t(8)(trF(4)) receives contributions from all L. These statements are verified up to L = 5, but arguments based on supersymmetry suggest they extend to all L. This explains why the single-trace contributions to low energy maximally supersymmetric Yang-Mills field theory are more divergent in the ultraviolet than the double-trace contributions. We also comment further on the constraints on closed string amplitudes and their implications for ultraviolet divergences in N = 8 supergravity.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)ANRMCYTUniv Estadual Paulista, Inst Fis Teor, BR-01140070 Sao Paulo, BrazilDAMTP, Cambridge CB3 0WA, EnglandUniv Barcelona, ICREA, Dept ECM, E-08028 Barcelona, SpainUniv Barcelona, Fac Fis, Inst Ciencies Cosmos, E-08028 Barcelona, SpainInst Hautes Etud Sci, F-91440 Bures Sur Yvette, FranceCEA Saclay, Inst Phys Theor, F-91191 Gif Sur Yvette, FranceUniv Estadual Paulista, Inst Fis Teor, BR-01140070 Sao Paulo, BrazilCNPq: 300256/94-9FAPESP: 04/11426-0ANRBLAN06-3-137168MCYTFPA 2007-66665MCYT2009SGR502SpringerUniversidade Estadual Paulista (Unesp)DAMTPUniv BarcelonaInst Hautes Etud SciCEA SaclayBerkovits, Nathan [UNESP]Green, Michael B.Russo, Jorge G.Vanhove, Pierre2015-03-18T15:54:36Z2015-03-18T15:54:36Z2009-11-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article21application/pdfhttp://dx.doi.org/10.1088/1126-6708/2009/11/063Journal Of High Energy Physics. New York: Springer, n. 11, 21 p., 2009.1126-6708http://hdl.handle.net/11449/11697710.1088/1126-6708/2009/11/063WOS:000273012100063WOS000273012100063.pdfWeb of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal Of High Energy Physics1,227info:eu-repo/semantics/openAccess2024-01-08T06:22:20Zoai:repositorio.unesp.br:11449/116977Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T22:24:11.447632Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Non-renormalization conditions for four-gluon scattering in supersymmetric string and field theory |
title |
Non-renormalization conditions for four-gluon scattering in supersymmetric string and field theory |
spellingShingle |
Non-renormalization conditions for four-gluon scattering in supersymmetric string and field theory Berkovits, Nathan [UNESP] Extended Supersymmetry Gauge Symmetry Field Theories in Higher Dimensions |
title_short |
Non-renormalization conditions for four-gluon scattering in supersymmetric string and field theory |
title_full |
Non-renormalization conditions for four-gluon scattering in supersymmetric string and field theory |
title_fullStr |
Non-renormalization conditions for four-gluon scattering in supersymmetric string and field theory |
title_full_unstemmed |
Non-renormalization conditions for four-gluon scattering in supersymmetric string and field theory |
title_sort |
Non-renormalization conditions for four-gluon scattering in supersymmetric string and field theory |
author |
Berkovits, Nathan [UNESP] |
author_facet |
Berkovits, Nathan [UNESP] Green, Michael B. Russo, Jorge G. Vanhove, Pierre |
author_role |
author |
author2 |
Green, Michael B. Russo, Jorge G. Vanhove, Pierre |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) DAMTP Univ Barcelona Inst Hautes Etud Sci CEA Saclay |
dc.contributor.author.fl_str_mv |
Berkovits, Nathan [UNESP] Green, Michael B. Russo, Jorge G. Vanhove, Pierre |
dc.subject.por.fl_str_mv |
Extended Supersymmetry Gauge Symmetry Field Theories in Higher Dimensions |
topic |
Extended Supersymmetry Gauge Symmetry Field Theories in Higher Dimensions |
description |
The constraints imposed by maximal supersymmetry on multi-loop contributions to the scattering of four open superstrings in the U(N) theory are examined by use of the pure spinor formalism. The double-trace term k(2)t(8)(trF(2))(2) (where k represents an external momentum and F the Yang-Mills field strength) only receives contributions from L <= 2 (where L is the loop number) while the single-trace term k(2)t(8)(trF(4)) receives contributions from all L. These statements are verified up to L = 5, but arguments based on supersymmetry suggest they extend to all L. This explains why the single-trace contributions to low energy maximally supersymmetric Yang-Mills field theory are more divergent in the ultraviolet than the double-trace contributions. We also comment further on the constraints on closed string amplitudes and their implications for ultraviolet divergences in N = 8 supergravity. |
publishDate |
2009 |
dc.date.none.fl_str_mv |
2009-11-01 2015-03-18T15:54:36Z 2015-03-18T15:54:36Z |
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.uri.fl_str_mv |
http://dx.doi.org/10.1088/1126-6708/2009/11/063 Journal Of High Energy Physics. New York: Springer, n. 11, 21 p., 2009. 1126-6708 http://hdl.handle.net/11449/116977 10.1088/1126-6708/2009/11/063 WOS:000273012100063 WOS000273012100063.pdf |
url |
http://dx.doi.org/10.1088/1126-6708/2009/11/063 http://hdl.handle.net/11449/116977 |
identifier_str_mv |
Journal Of High Energy Physics. New York: Springer, n. 11, 21 p., 2009. 1126-6708 10.1088/1126-6708/2009/11/063 WOS:000273012100063 WOS000273012100063.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal Of High Energy Physics 1,227 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
21 application/pdf |
dc.publisher.none.fl_str_mv |
Springer |
publisher.none.fl_str_mv |
Springer |
dc.source.none.fl_str_mv |
Web of Science reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808129424016539648 |