Large-n Critical Behavior of O(n)xO(m) Spin Models

Pelissetto, Andrea and Rossi, Paolo and Vicari, Ettore (2001) Large-n Critical Behavior of O(n)xO(m) Spin Models. Nuclear Physics B, 607 . p. 605. ISSN 1873-1562

Abstract

We consider the Landau-Ginzburg-Wilson Hamiltonian with O(n)x O(m) symmetry and compute the critical exponents at all fixed points to O(n^{-2}) and to O(\epsilon^3) in a \epsilon=4-d expansion. We also consider the corresponding non-linear sigma model and determine the fixed points and the critical exponents to O(\tilde{\epsilon}^2) in the \tilde{\epsilon}=d-2 expansion. Using these results, we draw quite general conclusions on the fixed-point structure of models with O(n)xO(m) symmetry for n large and all 2 < d < 4.

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