We determine the critical exponents for the XY universality class in three dimensions, which is expected to describe the lambda transition in He-4. They are obtained from the analysis of high-temperature series computed for a two-component lambda phi(4) model. The parameter lambda is fixed such that the leading corrections to scaling vanish. We obtain v= 0.67166(55), gamma= 1.3179(11), and alpha= -0.0150(17). These estimates improve previous theoretical determinations and agree with the more precise experimental results for liquid helium.
Determination of the critical exponents for the lambda transition of He-4 by high-temperature expansion
ROSSI, PAOLO;VICARI, ETTORE
2000-01-01
Abstract
We determine the critical exponents for the XY universality class in three dimensions, which is expected to describe the lambda transition in He-4. They are obtained from the analysis of high-temperature series computed for a two-component lambda phi(4) model. The parameter lambda is fixed such that the leading corrections to scaling vanish. We obtain v= 0.67166(55), gamma= 1.3179(11), and alpha= -0.0150(17). These estimates improve previous theoretical determinations and agree with the more precise experimental results for liquid helium.File in questo prodotto:
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