Type 0 open string amplitudes and the tensionless limit
Autor(a) principal: | |
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Data de Publicação: | 2014 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://journals.aps.org/prd/abstract/10.1103/PhysRevD.90.126008 http://hdl.handle.net/11449/130042 |
Resumo: | The sum over planar multiloop diagrams in the NS+ sector of type 0 open strings in flat spacetime has been proposed by Thorn as a candidate to resolve nonperturbative issues of gauge theories in the large N limit. With SU(N) Chan-Paton factors, the sum over planar open string multiloop diagrams describes the 't Hooft limit N -> infinity with Ng(s)(2) held fixed. By including only planar diagrams in the sum the usual mechanism for the cancellation of loop divergences (which occurs, for example, among the planar and Mobius strip diagrams by choosing a specific gauge group) is not available and a renormalization procedure is needed. In this article the renormalization is achieved by suspending total momentum conservation by an amount p equivalent to Sigma(n)(i) k(i) not equal 0 at the level of the integrands in the integrals over the moduli and analytically continuing them to p = 0 at the very end. This procedure has been successfully tested for the 2 and 3 gluon planar loop amplitudes by Thorn. Gauge invariance is respected and the correct running of the coupling in the limiting gauge field theory was also correctly obtained. In this article we extend those results in two directions. First, we generalize the renormalization method to an arbitrary n-gluon planar loop amplitude giving full details for the 4-point case. One of our main results is to provide a fully renormalized amplitude which is free of both UV and the usual spurious divergences leaving only the physical singularities in it. Second, using the complete renormalized amplitude, we extract the high-energy scattering regime at fixed angle (tensionless limit). Apart from obtaining the usual exponential falloff at high energies, we compute the full dependence on the scattering angle which shows the existence of a smooth connection between the Regge and hard scattering regimes. |
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Type 0 open string amplitudes and the tensionless limitThe sum over planar multiloop diagrams in the NS+ sector of type 0 open strings in flat spacetime has been proposed by Thorn as a candidate to resolve nonperturbative issues of gauge theories in the large N limit. With SU(N) Chan-Paton factors, the sum over planar open string multiloop diagrams describes the 't Hooft limit N -> infinity with Ng(s)(2) held fixed. By including only planar diagrams in the sum the usual mechanism for the cancellation of loop divergences (which occurs, for example, among the planar and Mobius strip diagrams by choosing a specific gauge group) is not available and a renormalization procedure is needed. In this article the renormalization is achieved by suspending total momentum conservation by an amount p equivalent to Sigma(n)(i) k(i) not equal 0 at the level of the integrands in the integrals over the moduli and analytically continuing them to p = 0 at the very end. This procedure has been successfully tested for the 2 and 3 gluon planar loop amplitudes by Thorn. Gauge invariance is respected and the correct running of the coupling in the limiting gauge field theory was also correctly obtained. In this article we extend those results in two directions. First, we generalize the renormalization method to an arbitrary n-gluon planar loop amplitude giving full details for the 4-point case. One of our main results is to provide a fully renormalized amplitude which is free of both UV and the usual spurious divergences leaving only the physical singularities in it. Second, using the complete renormalized amplitude, we extract the high-energy scattering regime at fixed angle (tensionless limit). Apart from obtaining the usual exponential falloff at high energies, we compute the full dependence on the scattering angle which shows the existence of a smooth connection between the Regge and hard scattering regimes.Department of EnergyFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)UNESP Univ Estadual Paulista, Inst Fis Teor, BR-01140070 Sao Paulo, BrazilUNESP Univ Estadual Paulista, Instituto de Física Teórica, BR-01140070 Sao Paulo, BrazilDepartment of Energy: DE-FG02-97ER41029FAPESP: 2012/05451-8Amer Physical SocUniversidade Estadual Paulista (Unesp)Rojas, Francisco2015-11-03T15:28:49Z2015-11-03T15:28:49Z2014-12-16info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1-30application/pdfhttp://journals.aps.org/prd/abstract/10.1103/PhysRevD.90.126008Physical Review D. College Pk: Amer Physical Soc, v. 90, n. 12, p. 1-30, 2014.1550-7998http://hdl.handle.net/11449/13004210.1103/PhysRevD.90.126008WOS:000348731700018WOS000348731700018.pdfWeb of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review Dinfo:eu-repo/semantics/openAccess2023-10-09T06:06:26Zoai:repositorio.unesp.br:11449/130042Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T14:27:34.127747Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Type 0 open string amplitudes and the tensionless limit |
title |
Type 0 open string amplitudes and the tensionless limit |
spellingShingle |
Type 0 open string amplitudes and the tensionless limit Rojas, Francisco |
title_short |
Type 0 open string amplitudes and the tensionless limit |
title_full |
Type 0 open string amplitudes and the tensionless limit |
title_fullStr |
Type 0 open string amplitudes and the tensionless limit |
title_full_unstemmed |
Type 0 open string amplitudes and the tensionless limit |
title_sort |
Type 0 open string amplitudes and the tensionless limit |
author |
Rojas, Francisco |
author_facet |
Rojas, Francisco |
author_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Rojas, Francisco |
description |
The sum over planar multiloop diagrams in the NS+ sector of type 0 open strings in flat spacetime has been proposed by Thorn as a candidate to resolve nonperturbative issues of gauge theories in the large N limit. With SU(N) Chan-Paton factors, the sum over planar open string multiloop diagrams describes the 't Hooft limit N -> infinity with Ng(s)(2) held fixed. By including only planar diagrams in the sum the usual mechanism for the cancellation of loop divergences (which occurs, for example, among the planar and Mobius strip diagrams by choosing a specific gauge group) is not available and a renormalization procedure is needed. In this article the renormalization is achieved by suspending total momentum conservation by an amount p equivalent to Sigma(n)(i) k(i) not equal 0 at the level of the integrands in the integrals over the moduli and analytically continuing them to p = 0 at the very end. This procedure has been successfully tested for the 2 and 3 gluon planar loop amplitudes by Thorn. Gauge invariance is respected and the correct running of the coupling in the limiting gauge field theory was also correctly obtained. In this article we extend those results in two directions. First, we generalize the renormalization method to an arbitrary n-gluon planar loop amplitude giving full details for the 4-point case. One of our main results is to provide a fully renormalized amplitude which is free of both UV and the usual spurious divergences leaving only the physical singularities in it. Second, using the complete renormalized amplitude, we extract the high-energy scattering regime at fixed angle (tensionless limit). Apart from obtaining the usual exponential falloff at high energies, we compute the full dependence on the scattering angle which shows the existence of a smooth connection between the Regge and hard scattering regimes. |
publishDate |
2014 |
dc.date.none.fl_str_mv |
2014-12-16 2015-11-03T15:28:49Z 2015-11-03T15:28:49Z |
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://journals.aps.org/prd/abstract/10.1103/PhysRevD.90.126008 Physical Review D. College Pk: Amer Physical Soc, v. 90, n. 12, p. 1-30, 2014. 1550-7998 http://hdl.handle.net/11449/130042 10.1103/PhysRevD.90.126008 WOS:000348731700018 WOS000348731700018.pdf |
url |
http://journals.aps.org/prd/abstract/10.1103/PhysRevD.90.126008 http://hdl.handle.net/11449/130042 |
identifier_str_mv |
Physical Review D. College Pk: Amer Physical Soc, v. 90, n. 12, p. 1-30, 2014. 1550-7998 10.1103/PhysRevD.90.126008 WOS:000348731700018 WOS000348731700018.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review D |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
1-30 application/pdf |
dc.publisher.none.fl_str_mv |
Amer Physical Soc |
publisher.none.fl_str_mv |
Amer Physical Soc |
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_ |
1808128362660495360 |