title: Theory φ3 in the dimension d = 3 in frames of η-expansion
metadata.name: dc.contributor.author
metadata.value: Pismensky, Artem L.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2018-04-26T08:59:26Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2018-04-26T08:59:26Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2018-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Pismensky A. L. Theory φ3 in the dimension d = 3 in frames of η-expansion. Vestnik SPbSU. Physics and Chemistry. 2018. Vol. 5 (63), iss. 1. P. 32–39.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu04.2018.104
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/9488
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The method of η-expansion calculation in the scalar field model with φ3 interaction in a 3D
  euclidian space based on conformal bootstrap equations is used in the present paper. As we
  know, there is an ε-expansion technique that allows us to find the critical exponent in the form of
  a series in powers of ε, the deviation of the dimension of space from the logarithmic one. However,
  the logarithmic dimension of the theory φ3 is 6, and the given series in ε have a very small radius
  of convergence, so that it is not possible to extend it analytically to the dimension d = 3. To
  solve the problem, we propose using the η-expansion: we construct the series in powers of critical
  exponent η supposing that it is a small value and obtain some approximate equation for η. If we
  consider this equation as precise, then it proves that there is no sustainable solution. But using
  the Pad´e approximant we receive a stable root of equation.
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: theory φ3
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: dimension 3
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: η-expansion
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Theory φ3 in the dimension d = 3 in frames of η-expansion
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 04-Pismensky.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/9488/1/04-Pismensky.pdf
resources.format: Adobe PDF
resources.size: 246,5 kB