Field-Theoretic Techniques in the Study of Critical Phenomena

Abstract

We shortly illustrate how the field-theoretic approach to critical phenomena takes place in the more complete Wilson theory of renormalization and qualitatively discuss its domain of validity. By the way, we suggest that the differential renormalization functions (like the beta-function) of the perturbative scalar theory in four dimensions should be Borel summable provided they are calculated within a minimal subtraction scheme.

32 pages, LaTeX, 9 figures, to appear in Journal of Physical Studies

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• Classical-to-critical crossovers from field theory
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• Exact renormalization group equations and the field theoretical approach to critical phenomena
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