Multi-Loop Calculations of Anomalous Exponents in the Models of Critical Dynamics

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...

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Bibliographic Details
Published inEPJ Web of Conferences Vol. 108; p. 2004
Main Authors Adzhemyan, L. Ts, Dančo, M., Hnatič, M., Ivanova, E. V., Kompaniets, M. V.
Format Journal Article Conference Proceeding
LanguageEnglish
Published Les Ulis EDP Sciences 01.01.2016
Subjects
Critical point
Exponents
Feynman diagrams
Fluids
Group dynamics
Helium
Mathematical analysis
Mathematical models
Relaxation time
Superfluidity
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Summary: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.
ISSN:2100-014X
2101-6275
2100-014X
DOI:10.1051/epjconf/201610802004