Higher moments of spin-spin correlation functions for the ferromagnetic random bond Potts model
Abstrak
Using conformal field theory techniques, we compute the disorder-averaged p-th power of the spin-spin correlation function (overline⟨σ(0)σ(R)⟩p, p∊Z) for the ferromagnetic random bond Potts model. We thus generalize the calculations of Dotsenko, Dotsenko and Picco (hep-th/9709136, 1997), where the case p = 2 was considered, and of Ludwig ( Nucl. Phys. B, 85 (1987) 97, 330 (1990) 639), where first-order computations where made for general p. Perturbative calculations are made up to second order in ϵ (ϵ being proportional to the central charge deviation of the pure model from the Ising model value). The explicit dependence of the correlation function on p gives an upper bound for the validity of the ϵ-expansion, which seems to be valid, in the three-states case, only if p ⩽ 4.
Topik & Kata Kunci
Penulis (1)
Marc-André Lewis
Akses Cepat
- Tahun Terbit
- 1997
- Bahasa
- en
- Total Sitasi
- 11×
- Sumber Database
- Semantic Scholar
- DOI
- 10.1209/epl/i1998-00564-y
- Akses
- Open Access ✓