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arXiv:0711.2022·v1·Statistical Mechanics

On the Critical Exponents for the \Lambda-Transition in Liquid Helium

A.A.Pogorelov🇷🇺 · I.M.Suslov (Kapitza Institute for Physical Problems, Moscow, Russia)🇷🇺

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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 \nu=0.6700\pm 0.0006 for the \lambda-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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