Renormalization and localization expansions. II: Expectation values of the ”fluctuation” measures. (English) Zbl 0932.81020
[Part I, cf. Commun. Math. Phys. 182, 33-82 (1996; Zbl 0878.60072).]
This paper a continuation of a series of papers elaborated by the same author, dealing with low-temperature expansions for classical \(N\)-vector models. In many respects, it is a completion of a paper in which the author succeeds to elaborate a complete, inductive description of the subject, by using fluctuation integrals. Here the new contributions to the effective action obtained previously are renormalized and their localization expansions are constructed.
This paper a continuation of a series of papers elaborated by the same author, dealing with low-temperature expansions for classical \(N\)-vector models. In many respects, it is a completion of a paper in which the author succeeds to elaborate a complete, inductive description of the subject, by using fluctuation integrals. Here the new contributions to the effective action obtained previously are renormalized and their localization expansions are constructed.
Reviewer: Oliviu Gherman (Bucureşti)
MSC:
| 81T08 | Constructive quantum field theory |
| 81T17 | Renormalization group methods applied to problems in quantum field theory |
| 81T25 | Quantum field theory on lattices |
| 82B28 | Renormalization group methods in equilibrium statistical mechanics |
| 82B20 | Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics |
