Progress of Theoretical Physics

Breakdown of Some Scaling Law Relations in 1/nExpansion

Ryuzo Abe, S. Hikami

Published Jun 1, 1973• 9 citations

Abstract

The specific heat exponent α of classical n-vector model is studied up to the order of 1/n. It is shown that α has discontinuities at particular spatial dimensionalities, both for the short-range and the long-range interactions. The scaling law relations involving α break down at such dimensionalities.

DOI: 10.1143/ptp.49.1851

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