The Renormalization group method (RG) is applied to the investigation of the E model of critical dynamics, which describes the transition from the normal to the superfluid phase in He4. The technique "Sector decomposition" with R' operation is used for the calculation of the Feynman diagrams. The RG functions, critical exponents and critical dynamical exponent z, which determines the growth of the relaxation time near the critical point, have been calculated in the two-loop approximation in the framework of ε-expansion. The relevance of a fixed point for helium, where the dynamic scaling is weakly violated, is briefly discussed.

Original languageEnglish
Title of host publicationMathematical Modeling and Computational Physics, MMCP 2015
EditorsMichal Hnatic, Gheorghe Adam, Jan Busa
PublisherEDP Sciences
ISBN (Electronic)9782759819447
DOIs
StatePublished - 9 Feb 2016
EventMathematical Modeling and Computational Physics Conference, MMCP 2015 - Stara Lesna, Slovakia
Duration: 12 Jul 201516 Jul 2015

Publication series

NameEPJ Web of Conferences
Volume108
ISSN (Print)2101-6275
ISSN (Electronic)2100-014X

Conference

ConferenceMathematical Modeling and Computational Physics Conference, MMCP 2015
Country/TerritorySlovakia
CityStara Lesna
Period12/07/1516/07/15

    Scopus subject areas

  • Statistical and Nonlinear Physics

ID: 74024625