Critical exponents from seven-loop strong-couplingφ4theory in three dimensions

1998/12/31 by H. Kleinert, Hagen Kleinert · 9 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum, superfluid, helium dynamics #hep-th

paper · pdf · doi:10.1103/physrevd.60.085001

published as Phys.Rev. D60 (1999) 085001 · Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html . Latest update of paper also at http://www.physik.fu-berlin.de/~kleinert/kleiner_re279/preprint.html

arxiv created 1999/06/02 · openalex publication_date 1999/09/09 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Using strong-coupling quantum field theory, we calculate highly accurate critical exponents \ensuremathν,\ensuremathη following from new seven-loop expansions in three dimensions. Our theoretical value for the critical exponent \ensuremathα of the specific heat near the \ensuremathλ point of superfluid helium is \ensuremathα=-0.01294\ifmmode±\else\textpm\fi0.00060, in excellent agreement with the space shuttle experimental value \ensuremathα=-0.01285\ifmmode±\else\textpm\fi0.00038.

Citations

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