Critical exponents from seven-loop strong-coupling φ4 theory in three dimensions

Phys. Rev. D 60, 085001 – Published 9 September 1999
Hagen Kleinert


Using strong-coupling quantum field theory, we calculate highly accurate critical exponents ν,η following from new seven-loop expansions in three dimensions. Our theoretical value for the critical exponent α of the specific heat near the λ point of superfluid helium is α=-0.01294±0.00060, in excellent agreement with the space shuttle experimental value α=-0.01285±0.00038.


  • Received 4 December 1998
  • Revised 7 June 1999
  • Published 9 September 1999

© 1999 The American Physical Society

Authors & Affiliations

Hagen Kleinert*

  • Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14, 14195 Berlin, Germany

  • *Email address:

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