Crossover exponent in O(N) phi^4 theory at O(1/N^2)

Details Crossover exponent in O(N) phi^4 theory at O(1/N^2) Crossover exponent in O(N) phi^4 theory at O(1/N^2)

2002-06-07

arxiv.org/abs/cond-mat/0206098v1

Phys.Rev. E66 (2002) 027102

Physics

Condensed Matter

8 latex pages

Scientific paper

10.1103/PhysRevE.66.027102

The critical exponent phi_c, derived from the anomalous dimension of the bilinear operator responsible for crossover behaviour 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 - 2 epsilon. Its epsilon expansion agrees with the known O(epsilon^4) perturbative expansion and new 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 Pade-Borel resummation, are provided for a range of N in three dimensions.

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