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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Main Authors:	Adzhemyan L. Ts., Dančo M., Hnatič M., Ivanova E. V., Kompaniets M. V.
Format:	Article
Language:	English
Published:	EDP Sciences 2016-01-01
Series:	EPJ Web of Conferences
Online Access:	http://dx.doi.org/10.1051/epjconf/201610802004

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spelling	doaj-a82e4493025b4c199631696306614cb42021-08-02T18:20:18ZengEDP SciencesEPJ Web of Conferences2100-014X2016-01-011080200410.1051/epjconf/201610802004epjconf_mmcp2016_02004Multi-Loop Calculations of Anomalous Exponents in the Models of Critical DynamicsAdzhemyan L. Ts.0Dančo M.Hnatič M.Ivanova E. V.1Kompaniets M. V.2Department of Theoretical Physics, St. Petersburg State UniversityDepartment of Theoretical Physics, St. Petersburg State UniversityDepartment of Theoretical Physics, St. Petersburg State UniversityThe 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.http://dx.doi.org/10.1051/epjconf/201610802004
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Adzhemyan L. Ts. Dančo M. Hnatič M. Ivanova E. V. Kompaniets M. V.
spellingShingle	Adzhemyan L. Ts. Dančo M. Hnatič M. Ivanova E. V. Kompaniets M. V. Multi-Loop Calculations of Anomalous Exponents in the Models of Critical Dynamics EPJ Web of Conferences
author_facet	Adzhemyan L. Ts. Dančo M. Hnatič M. Ivanova E. V. Kompaniets M. V.
author_sort	Adzhemyan L. Ts.
title	Multi-Loop Calculations of Anomalous Exponents in the Models of Critical Dynamics
title_short	Multi-Loop Calculations of Anomalous Exponents in the Models of Critical Dynamics
title_full	Multi-Loop Calculations of Anomalous Exponents in the Models of Critical Dynamics
title_fullStr	Multi-Loop Calculations of Anomalous Exponents in the Models of Critical Dynamics
title_full_unstemmed	Multi-Loop Calculations of Anomalous Exponents in the Models of Critical Dynamics
title_sort	multi-loop calculations of anomalous exponents in the models of critical dynamics
publisher	EDP Sciences
series	EPJ Web of Conferences
issn	2100-014X
publishDate	2016-01-01
description	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.
url	http://dx.doi.org/10.1051/epjconf/201610802004
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Multi-Loop Calculations of Anomalous Exponents in the Models of Critical Dynamics

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