Renormalization group improvement of the nonrelativistic RQCD Lagrangian and heavy quarkonium spectrum

We complete the leading-log renormalization group scaling of the nonrelativistic (NRQCD) Lagrangian at O ( 1 / m 2 ) . The next-to-next-to-leading-log renormalization group scaling of the potential NRQCD Lagrangian (as far as the singlet is concerned) is also obtained in the situation m α s ≫ Λ QCD...

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Detalles Bibliográficos
Autor: Pineda, Antonio (Pineda Ruiz)
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2002
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/12463
Acceso en línea:https://hdl.handle.net/2445/12463
Access Level:acceso abierto
Palabra clave:Teoria de camps (Física)
Partícules (Física nuclear)
Renormalització (Física)
Pertorbació (Dinàmica quàntica)
Field theory (Physics)
Particles (Nuclear physics)
Renormalization (Physics)
Perturbation (Quantum dynamics)
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spelling Renormalization group improvement of the nonrelativistic RQCD Lagrangian and heavy quarkonium spectrumPineda, Antonio (Pineda Ruiz)Teoria de camps (Física)Partícules (Física nuclear)Renormalització (Física)Pertorbació (Dinàmica quàntica)Field theory (Physics)Particles (Nuclear physics)Renormalization (Physics)Perturbation (Quantum dynamics)We complete the leading-log renormalization group scaling of the nonrelativistic (NRQCD) Lagrangian at O ( 1 / m 2 ) . The next-to-next-to-leading-log renormalization group scaling of the potential NRQCD Lagrangian (as far as the singlet is concerned) is also obtained in the situation m α s ≫ Λ QCD . As a by-product, we obtain the heavy quarkonium spectrum with the same accuracy in the situation m α 2 s ≳ Λ QCD . When Λ QCD ≪ m α 2 s , this is equivalent to obtain the whole set of O ( m α ( n + 4 ) s ln n α s ) terms in the heavy quarkonium spectrum. The implications of our results in the nonperturbative situation m α s ∼ Λ QCD are also mentioned.The American Physical Society2002info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/12463Articles publicats en revistes (Física Quàntica i Astrofísica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció digital del document publicat en format paper, proporcionada per PROLA i http://dx.doi.org/10.1103/PhysRevD.65.074007Physical Review D, 2002, vol. 65, núm. 7, p. 074007-1-074007-10http://dx.doi.org/10.1103/PhysRevD.65.074007(c) The American Physical Society, 2002info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/124632026-05-27T06:46:51Z
dc.title.none.fl_str_mv Renormalization group improvement of the nonrelativistic RQCD Lagrangian and heavy quarkonium spectrum
title Renormalization group improvement of the nonrelativistic RQCD Lagrangian and heavy quarkonium spectrum
spellingShingle Renormalization group improvement of the nonrelativistic RQCD Lagrangian and heavy quarkonium spectrum
Pineda, Antonio (Pineda Ruiz)
Teoria de camps (Física)
Partícules (Física nuclear)
Renormalització (Física)
Pertorbació (Dinàmica quàntica)
Field theory (Physics)
Particles (Nuclear physics)
Renormalization (Physics)
Perturbation (Quantum dynamics)
title_short Renormalization group improvement of the nonrelativistic RQCD Lagrangian and heavy quarkonium spectrum
title_full Renormalization group improvement of the nonrelativistic RQCD Lagrangian and heavy quarkonium spectrum
title_fullStr Renormalization group improvement of the nonrelativistic RQCD Lagrangian and heavy quarkonium spectrum
title_full_unstemmed Renormalization group improvement of the nonrelativistic RQCD Lagrangian and heavy quarkonium spectrum
title_sort Renormalization group improvement of the nonrelativistic RQCD Lagrangian and heavy quarkonium spectrum
dc.creator.none.fl_str_mv Pineda, Antonio (Pineda Ruiz)
author Pineda, Antonio (Pineda Ruiz)
author_facet Pineda, Antonio (Pineda Ruiz)
author_role author
dc.subject.none.fl_str_mv Teoria de camps (Física)
Partícules (Física nuclear)
Renormalització (Física)
Pertorbació (Dinàmica quàntica)
Field theory (Physics)
Particles (Nuclear physics)
Renormalization (Physics)
Perturbation (Quantum dynamics)
topic Teoria de camps (Física)
Partícules (Física nuclear)
Renormalització (Física)
Pertorbació (Dinàmica quàntica)
Field theory (Physics)
Particles (Nuclear physics)
Renormalization (Physics)
Perturbation (Quantum dynamics)
description We complete the leading-log renormalization group scaling of the nonrelativistic (NRQCD) Lagrangian at O ( 1 / m 2 ) . The next-to-next-to-leading-log renormalization group scaling of the potential NRQCD Lagrangian (as far as the singlet is concerned) is also obtained in the situation m α s ≫ Λ QCD . As a by-product, we obtain the heavy quarkonium spectrum with the same accuracy in the situation m α 2 s ≳ Λ QCD . When Λ QCD ≪ m α 2 s , this is equivalent to obtain the whole set of O ( m α ( n + 4 ) s ln n α s ) terms in the heavy quarkonium spectrum. The implications of our results in the nonperturbative situation m α s ∼ Λ QCD are also mentioned.
publishDate 2002
dc.date.none.fl_str_mv 2002
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/12463
url https://hdl.handle.net/2445/12463
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció digital del document publicat en format paper, proporcionada per PROLA i http://dx.doi.org/10.1103/PhysRevD.65.074007
Physical Review D, 2002, vol. 65, núm. 7, p. 074007-1-074007-10
http://dx.doi.org/10.1103/PhysRevD.65.074007
dc.rights.none.fl_str_mv (c) The American Physical Society, 2002
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) The American Physical Society, 2002
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv The American Physical Society
publisher.none.fl_str_mv The American Physical Society
dc.source.none.fl_str_mv Articles publicats en revistes (Física Quàntica i Astrofísica)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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