Analytic QCD: a short review
Autor(a) principal: | |
---|---|
Data de Publicação: | 2008 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Brazilian Journal of Physics |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332008000400002 |
Resumo: | Analytic versions of QCD are those whose coupling αs(Q²) does not have the unphysical Landau singularities on the space-like axis (-q²= Q² > 0). The coupling is analytic in the entire complex plane except the time-like axis (Q² < 0). Such couplings are thus suitable for application of perturbative methods down to energies of order GeV. We present a short review of the activity in the area which started with a seminal paper of Shirkov and Solovtsov ten years ago. Several models for analytic QCD coupling are presented. Strengths and weaknesses of some of these models are pointed out. Further, for such analytic couplings, constructions of the corresponding higher order analytic couplings (the analogs of the higher powers of the perturbative coupling) are outlined, and an approach based on the renormalization group considerations is singled out. Methods of evaluation of the leading-twist part of space-like observables in such analytic frameworks are described. Such methods are applicable also to the inclusive time-like observables. Two analytic models are outlined which respect the ITEP Operator Product Expansion philosophy, and thus allow for an evaluation of higher-twist contributions to observables. |
id |
SBF-2_08f30362d7471fc9f1ab28b3a261e130 |
---|---|
oai_identifier_str |
oai:scielo:S0103-97332008000400002 |
network_acronym_str |
SBF-2 |
network_name_str |
Brazilian Journal of Physics |
repository_id_str |
|
spelling |
Analytic QCD: a short reviewAnalytic couplingTruncated analytic series (TAS)ITEP-OPE philosophyAnalytic versions of QCD are those whose coupling αs(Q²) does not have the unphysical Landau singularities on the space-like axis (-q²= Q² > 0). The coupling is analytic in the entire complex plane except the time-like axis (Q² < 0). Such couplings are thus suitable for application of perturbative methods down to energies of order GeV. We present a short review of the activity in the area which started with a seminal paper of Shirkov and Solovtsov ten years ago. Several models for analytic QCD coupling are presented. Strengths and weaknesses of some of these models are pointed out. Further, for such analytic couplings, constructions of the corresponding higher order analytic couplings (the analogs of the higher powers of the perturbative coupling) are outlined, and an approach based on the renormalization group considerations is singled out. Methods of evaluation of the leading-twist part of space-like observables in such analytic frameworks are described. Such methods are applicable also to the inclusive time-like observables. Two analytic models are outlined which respect the ITEP Operator Product Expansion philosophy, and thus allow for an evaluation of higher-twist contributions to observables.Sociedade Brasileira de Física2008-09-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332008000400002Brazilian Journal of Physics v.38 n.3b 2008reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97332008000400002info:eu-repo/semantics/openAccessCvetič,GorazdValenzuela,Cristiáneng2008-11-18T00:00:00Zoai:scielo:S0103-97332008000400002Revistahttp://www.sbfisica.org.br/v1/home/index.php/pt/ONGhttps://old.scielo.br/oai/scielo-oai.phpsbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br1678-44480103-9733opendoar:2008-11-18T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)false |
dc.title.none.fl_str_mv |
Analytic QCD: a short review |
title |
Analytic QCD: a short review |
spellingShingle |
Analytic QCD: a short review Cvetič,Gorazd Analytic coupling Truncated analytic series (TAS) ITEP-OPE philosophy |
title_short |
Analytic QCD: a short review |
title_full |
Analytic QCD: a short review |
title_fullStr |
Analytic QCD: a short review |
title_full_unstemmed |
Analytic QCD: a short review |
title_sort |
Analytic QCD: a short review |
author |
Cvetič,Gorazd |
author_facet |
Cvetič,Gorazd Valenzuela,Cristián |
author_role |
author |
author2 |
Valenzuela,Cristián |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Cvetič,Gorazd Valenzuela,Cristián |
dc.subject.por.fl_str_mv |
Analytic coupling Truncated analytic series (TAS) ITEP-OPE philosophy |
topic |
Analytic coupling Truncated analytic series (TAS) ITEP-OPE philosophy |
description |
Analytic versions of QCD are those whose coupling αs(Q²) does not have the unphysical Landau singularities on the space-like axis (-q²= Q² > 0). The coupling is analytic in the entire complex plane except the time-like axis (Q² < 0). Such couplings are thus suitable for application of perturbative methods down to energies of order GeV. We present a short review of the activity in the area which started with a seminal paper of Shirkov and Solovtsov ten years ago. Several models for analytic QCD coupling are presented. Strengths and weaknesses of some of these models are pointed out. Further, for such analytic couplings, constructions of the corresponding higher order analytic couplings (the analogs of the higher powers of the perturbative coupling) are outlined, and an approach based on the renormalization group considerations is singled out. Methods of evaluation of the leading-twist part of space-like observables in such analytic frameworks are described. Such methods are applicable also to the inclusive time-like observables. Two analytic models are outlined which respect the ITEP Operator Product Expansion philosophy, and thus allow for an evaluation of higher-twist contributions to observables. |
publishDate |
2008 |
dc.date.none.fl_str_mv |
2008-09-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332008000400002 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332008000400002 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/S0103-97332008000400002 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
dc.publisher.none.fl_str_mv |
Sociedade Brasileira de Física |
publisher.none.fl_str_mv |
Sociedade Brasileira de Física |
dc.source.none.fl_str_mv |
Brazilian Journal of Physics v.38 n.3b 2008 reponame:Brazilian Journal of Physics instname:Sociedade Brasileira de Física (SBF) instacron:SBF |
instname_str |
Sociedade Brasileira de Física (SBF) |
instacron_str |
SBF |
institution |
SBF |
reponame_str |
Brazilian Journal of Physics |
collection |
Brazilian Journal of Physics |
repository.name.fl_str_mv |
Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF) |
repository.mail.fl_str_mv |
sbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br |
_version_ |
1754734864708403200 |