Phys. Rev. E 66, 027102 (2002) [4 pages]Crossover exponent in O(N) φ4 theory at O(1/N2)Received 18 April 2002; published 9 August 2002 The critical exponent φc, derived from the anomalous dimension of the bilinear operator responsible for crossover behavior in O(N) φ4 theory, is calculated at O(1/N2) in a large N expansion in arbitrary space-time dimension d=4-2ε. Its ε expansion agrees with the known O(ε4) perturbative expansion and information on the structure of the five-loop exponent is provided. Estimates of φc and the related crossover exponents βc and γc, using Padé-Borel resummation, are provided for a range of N in three dimensions. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.66.027102
DOI:
10.1103/PhysRevE.66.027102
PACS:
05.70.Jk, 64.60.Fr, 11.15.Pg
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