Renormalization group analysis of the gluon mass equation

dc.creatorAguilar, AC
dc.creatorBinosi, D
dc.creatorPapavassiliou, J
dc.date2014
dc.dateAPR 18
dc.date2014-07-30T18:23:12Z
dc.date2015-11-26T16:52:12Z
dc.date2014-07-30T18:23:12Z
dc.date2015-11-26T16:52:12Z
dc.date.accessioned2018-03-28T23:39:06Z
dc.date.available2018-03-28T23:39:06Z
dc.identifierPhysical Review D. Amer Physical Soc, v. 89, n. 8, 2014.
dc.identifier1550-7998
dc.identifier1550-2368
dc.identifierWOS:000335236500008
dc.identifier10.1103/PhysRevD.89.085032
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/70918
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/70918
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1276211
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionWe carry out a systematic study of the renormalization properties of the integral equation that determines the momentum evolution of the effective gluon mass in pure Yang-Mills theory, without quark effects taken into account. A detailed, all-order analysis of the complete kernel appearing in this particular equation, derived in the Landau gauge, reveals that the renormalization procedure may be accomplished through the sole use of ingredients known from the standard perturbative treatment of the theory, with no additional assumptions. However, the subtle interplay of terms operating at the level of the exact equation gets distorted by the approximations usually employed when evaluating the aforementioned kernel. This fact is reflected in the form of the obtained solutions, for which the deviations from the correct behavior are best quantified by resorting to appropriately defined renormalization-group invariant quantities. This analysis, in turn, provides a solid guiding principle for improving the form of the kernel, and furnishes a well-defined criterion for discriminating between various possibilities. Certain renormalization-group inspired Ansatze for the kernel are then proposed, and their numerical implications are explored in detail. One of the solutions obtained fulfills the theoretical expectations to a high degree of accuracy, yielding a gluon mass that is positive definite throughout the entire range of physical momenta, and displays in the ultraviolet the so-called "power-law" running, in agreement with standard arguments based on the operator product expansion. Some of the technical difficulties thwarting a more rigorous determination of the kernel are discussed, and possible future directions are briefly mentioned.
dc.description89
dc.description8
dc.descriptionSpanish MEYC [FPA2011-23596]
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionSpanish MEYC [FPA2011-23596]
dc.descriptionCNPq [306537/2012-5, 473260/2012-3]
dc.descriptionFAPESP [2012/15643-1]
dc.languageen
dc.publisherAmer Physical Soc
dc.publisherCollege Pk
dc.publisherEUA
dc.relationPhysical Review D
dc.relationPhys. Rev. D
dc.rightsaberto
dc.rightshttp://publish.aps.org/authors/transfer-of-copyright-agreement
dc.sourceWeb of Science
dc.subjectDynamical Symmetry-breaking
dc.subjectDyson-schwinger Equations
dc.subjectBackground Field Method
dc.subjectResonance Physics
dc.subjectGauge Symmetries
dc.subjectPinch Technique
dc.subjectBound-states
dc.subjectQcd
dc.subjectVertex
dc.subjectPropagator
dc.titleRenormalization group analysis of the gluon mass equation
dc.typeArtículos de revistas


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