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Theory and Satellite Experiment for Critical Exponent alpha of lambda-Transition in Superfluid Helium

Hagen Kleinert

cond-matarXiv:cond-mat/9906107

Abstract

On the basis recent seven-loop perturbation expansion for nu-1 = 3/(2 - alpha) we perform a careful reinvestigation of the critical exponent alpha governing the power behavior |Tc-T|- alpha of the specific heat of superfluid helium near the phase transition. With the help of variational strong-coupling theory. we find alpha = - 0.01126 +- 0.0010, in very good agreement with the space shuttle experimental value alpha = - 0.01056 +- 0.00038.

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