title: Borel resummation of the ε-expansion of the Fisher exponent up to the sixth order of perturbation theory
metadata.name: dc.contributor.author
metadata.value: Kim, Tatyana L.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Kompaniets, Mikhail V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2016-10-05T09:00:45Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2016-10-05T09:00:45Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2016-06
metadata.lang: -
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu04.2016.203
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/3933
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: It is well known that a series obtained in the framework of the renormalization group and ε-expansion
  in ϕ4-model are asymptotic. Resummation of the Fisher exponent η using Borel transform
  with conformal mapping up to six loop approximation of the anomalous field dimension γϕ(u) was
  demonstrated in a recent paper of one of the co-authors (u — coupling constant). In this paper
  such a resummation of γϕ(u) and beta function β(u) as a function of u was performed in two
  stages. First, u∗ value was found as zero of the resummed beta function, then resummation of
  the anomalous field dimension was performed at u = u∗. In this paper we perform resummation
  of the Fisher exponent η(ε) as a function of ε at six loop level. We performed comparison of our
  results with results obtained in cited paper as well as with estimations of the Fisher exponent
  from the high temperature expansions and Monte Carlo simulations for 3D systems and Onsager’s
  exact solution for two dimensional Ising model. Refs 12. Fig 1. Table 1.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена при поддержке исследовательского гранта СПбГУ 11.38.185.2014.
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. Series 4. Physics. Chemistry;Vol. 3 (61); Issue 2
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: multiloop diagrams
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: critical exponents
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Borel resummation of the ε-expansion of the Fisher exponent up to the sixth order of perturbation theory
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: Kim.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/3933/1/Kim.pdf
resources.format: Adobe PDF
resources.size: 285,03 kB