Harmonic crossover exponents in O(n) models with the pseudo-epsilon expansion approach

Abstract

We determine the crossover exponents associated with the traceless tensorial quadratic field, the third- and fourth-harmonic operators for O(n) vector models by re-analyzing the existing six-loop fixed dimension series with pseudo-epsilon expansion. Within this approach we obtain the most accurate theoretical estimates that are in optimum agreement with other theoretical and experimental results.

12 pages, 1 figure. Final version accepted for publication

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• Instability of the O(5) multicritical behavior in the SO(5) theory of high-Tc superconductors
• Critical Exponents of Superfluid Helium and Pseudo-$\epsilon$ Expansion
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• Finite-Temperature Transition in the Spin-Dimer Antiferromagnet BaCuSi2O6
• Effective potential of the three-dimensional Ising model: the pseudo-$\epsilon$ expansion study
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• Corrections to scaling in multicomponent polymer solutions
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• Universal effective couplings of the three-dimensional $n$-vector model and field theory