title: Critical behaviour of a O(n)-symmetric model with an antisymmetric tensor order parameter: the real-space renormalization group
metadata.name: dc.contributor.author
metadata.value: Lebedev, Nikita M.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Kompaniets, Mikhail V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2018-02-05T08:57:37Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2018-02-05T08:57:37Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2017-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Lebedev N.M., Kompaniets M. V. Critical behaviour of a O(n)-symmetric model with an antisymmetric tensor order parameter: the real-space renormalization group. Vestnik SPbSU. Physics and Chemistry. 2017. Vol. 4 (62), iss. 4. P. 417–428.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu04.2017.405
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/9092
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Critical behavior of the O(n)-symmetric model with antisymmetric tensor order parameter is
  studied by means of the renormalization group approach in the space of a fixed dimension. Previously
  this model was studied by the authors in collaboration with N. V.Antonov by means of
  ε-expansion. Within the framework of this approach, it was shown that non-trivial fixed points
  are present in the model only in the case n = 4, however, their infrared stability properties
  appeared to be sensitive to the accounting of the higher orders of perturbation theory and the
  asymptotic nature of ε-expansions. As a result, it was concluded that in order to obtain a reliable
  picture of critical behavior, besides accounting for the higher orders of perturbation theory, it is
  also necessary to explore the dependence of the results on the choice of a specific renormalization
  scheme. For this purpose in the present paper RG-functions and critical exponents of the model
  are calculated in form of pseudo-ε-expansions with a three-loop accuracy. The results obtained
  are in qualitative agreement with results of the Borel resummation of corresponding ε-expansions in three-loop approximation. Nevertheless, the numerical values of the critical exponents obtained
  by direct summation of the pseudo-ε-expansions and by the Borel resummation of the
  corresponding ε-expansions can differ quite significantly. Refs 33. Tables 6.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Н. М. Лебедев выражает благодарность РФФИ за финансовую поддержку в рамках гранта
  16-32-00086 мол-а.
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 4(62); Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: renormalization group
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: critical behavior
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Critical behaviour of a O(n)-symmetric model with an antisymmetric tensor order parameter: the real-space renormalization group
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 08-Lebedev,Kompaniets.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/9092/1/08-Lebedev%2cKompaniets.pdf
resources.format: Adobe PDF
resources.size: 313,63 kB