Crossover exponent in O(N) phi(4) theory at O(1/N(2)).
The critical exponent phi(c), derived from the anomalous dimension of the bilinear operator responsible for crossover behavior in O(N) phi(4) theory, is calculated at O(1/N(2)) in a large N expansion in arbitrary space-time dimension d=4-2epsilon. Its epsilon expansion agrees with the known O(epsilon(4)) perturbative expansion and information on the structure of the five-loop exponent is provided. Estimates of phi(c) and the related crossover exponents beta(c) and gamma(c), using Padé-Borel resummation, are provided for a range of N in three dimensions.
Gracey
J A
JA
Theoretical Physics Division, Department of Mathematical Sciences, University of Liverpool, Peach Street, Liverpool L69 7ZF, United Kingdom.