Abstract
We present a proof of skeleton inequalities for ferromagnetic lattice spin systems with potential V(φ2) = (a/2)φ2 + Σn = 2M {λ2n/(2n)!} φ2n (a real, λ2n ≥0) generalizing the Brydges-Fröhlich-Sokal and Bovier-Felder methods. As an application of the inequalities, we prove that, for sufficiently soft systems in d > 4 dimensions, critical exponents γ, α, and Δ4 take their mean-field values (i.e., γ = 1, α = 0, and Δ4 = 3/2).
Original language | English |
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Pages (from-to) | 2922-2929 |
Number of pages | 8 |
Journal | Journal of Mathematical Physics |
Volume | 26 |
Issue number | 11 |
DOIs | |
Publication status | Published - 1985 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics