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Renormalization group analysis of the gluon mass equation

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Renormalization group analysis of the gluon mass equation

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dc.contributor.author Aguilar, Arlene Cristina
dc.contributor.author Binosi, Daniele
dc.contributor.author Papavassiliou, Joannis
dc.date.accessioned 2014-05-23T11:07:12Z
dc.date.available 2014-05-23T11:07:12Z
dc.date.issued 2014
dc.identifier.citation Aguilar, A. C. Binosi, Daniele Papavassiliou, Joannis 2014 Renormalization group analysis of the gluon mass equation Physical Review D 89 8 085032
dc.identifier.uri http://hdl.handle.net/10550/35417
dc.description.abstract We 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 Ansätze 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.relation.ispartof Physical Review D, 2014, vol. 89, num. 8, p. 085032
dc.subject Partícules (Física nuclear)
dc.title Renormalization group analysis of the gluon mass equation
dc.type journal article es_ES
dc.date.updated 2014-05-23T11:07:12Z
dc.identifier.doi 10.1103/PhysRevD.89.085032
dc.identifier.idgrec 097644
dc.rights.accessRights open access es_ES
dc.identifier.url 10.1103/PhysRevD.89.085032

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