On the Critical Exponents for the Λ-Transition in Liquid Helium

Abstract

The use of a new method for summing divergent series makes it possible to significantly increase the accuracy of determining the critical exponents from the field theoretical renormalization group. The exponent value ν=0.6700\pm 0.0006 for the λ-transition in liquid helium is in good agreement with the experiment, but contradicts the last theoretical results based on using high-temperature series, the Monte Carlo method, and their synthesis.

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References in corpus (8)

• Critical Exponents of the N-vector model
• Critical behavior of the three-dimensional XY universality class
• The critical exponents of the superfluid transition in He4
• Specific Heat of Liquid Helium in Zero Gravity very near the Lambda Point
• Seven-Loop Critical Exponents from Strong-Coupling phi^4-Theory in Three Dimensions
• High precision Monte Carlo study of the 3D XY-universality class
• Critical specific heats of the N-vector spin models on the sc and the bcc lattices
• Theory and Satellite Experiment for Critical Exponent alpha of lambda-Transition in Superfluid Helium

Cited by in corpus (6)

• Critical Dynamics of Spontaneous Symmetry Breaking in a Homogeneous Bose gas
• Exploring the Kibble-Zurek mechanism with homogeneous Bose gases
• Critical Exponents of Superfluid Helium and Pseudo-$\epsilon$ Expansion
• Numerical diagonalization analysis of the criticality of the (2+1)-dimensional XY model: Off-diagonal Novotny's method
• The modification of exponents in the Ginzburg-Sobyanin theory of superfluidity
• A dense Bose fluid at zero temperature: condensation and clusters in liquid He-4