- 99-19 Milos Zahradnik
- Contour Methods and Pirogov Sinai Theory
for Continuous Spin Lattice Models
(87K, AmsTex, 394 k)
Jan 20, 99
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Abstract. We develop a new approach to the Pirogov Sinai theory of low temperature
continuous spin lattice models, substantially simplified compared to the
original approach  of Dobrushin and Zahradnik.
Our new method is based on a transformation of a continuous spin model
into a suitable discrete spin model (of a standard `abstract Pirogov Sinai'
type). It uses a`Gaussian transformation' of $\exp(-U)$ for a multiple well
potential $U$ and allows to use the available methods of the discrete
spin theory. Submitted to AMS Dobrushin Memorial Volume.