- 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 [1986] 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.
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