Abstract
The evidence for universality of critical behavior is reviewed from a series expansion viewpoint. The necessity of incorporating non-analytic corrections to dominant scaling-theory singularities is pointed out, and the outlook for the verification of hyperscaling is discussed.
This work was supported in part by the United States Department of Energy. The author thanks J.P. Vandyke, M.E. Fisher and J. Rehr for useful discussion.
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However, it should be noted that the accuracy with which discrepancies in hyperscaling have been found is comparable to that in the determination of η. [The point is that sometimes the intuition an investigator develops about a problem is more trustworthy than his numerical estimates would seem to justify.]
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Camp, W.J. (1982). High Temperature Series, Universality And Scaling Corrections+ . In: Lévy, M., Le Guillou, JC., Zinn-Justin, J. (eds) Phase Transitions Cargèse 1980. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3347-0_7
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