title: Borel summation of the dynamic index z in the model A of critical dynamics with an account of the strong coupling asymptotics
metadata.name: dc.contributor.author
metadata.value: Vorobyeva, Svetlana Ye.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Ivanova, Ella V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Serov, Vitalii D.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2018-04-26T08:55:35Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2018-04-26T08:55:35Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2018-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Vorobyeva S. Y., Ivanova E. V., Serov V. D. Borel summation of the dynamic index z in the model A of critical dynamics with an account of the strong coupling asymptotics. Vestnik SPbSU. Physics and Chemistry. 2018. Vol. 5 (63), iss. 1. P. 13–19.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu04.2018.102
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/9486
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In this paper we consider the model A of critical dynamics which describes the dynamic characteristics
  of the critical behavior of ferromagnets as well as other systems with a nonconserved
  order parameter. For such a model the renormalization group method and the ε-expansion are
  the common tool for constructing consistent perturbative expansion for critical exponents and
  other universal quantities. One of the problems in this formalism is the asymptotic nature of the
  series obtained within the ε-expansion, so to get reliable theoretical predictions it is necessary to
  apply the Borel resummation technique. In this work we apply such a resummation technique to
  the four-loop ε-expansion of the dynamical exponent z which describes the critical slowing down in the ferromagnet-type systems. The motivation of the paper is twofold: 1) improved values for
  the coefficients of the ε-expansion have recently been obtained, 2) sit has been shown that incorporation
  of strong coupling asymptotics into the Borel resummation technique leads to better
  convergence of the resummation procedure for static models. In this investigation it was shown
  that taking into account the asymptotics of the strong coupling for critical static problems also
  improves the predictions of the higher terms of the series. Since the strong-coupling asymptotic
  for this model is unknown, this parameter is held free and adjusted in accordance with the condition
  of the most accurate prediction of the last known term from the previous ones and the rate
  of convergence of the procedure.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Physics and Chemistry;Volume 5(63); Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: renormalization group
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: ε-expansion
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: multi-loop diagrams
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: critical exponents
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Borel resummation
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Borel summation of the dynamic index z in the model A of critical dynamics with an account of the strong coupling asymptotics
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 02-Vorobyeva.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/9486/1/02-Vorobyeva.pdf
resources.format: Adobe PDF
resources.size: 327 kB