Abstract:
The reflection positivity method and chess-board estimates are
used to study the existence of Gibbs fields with noncompact spin.
This extends the class of interactions for which the thermodynamic
limit exists. The “double well” potential is considered.
Citation:
S. B. Shlosman, “Reflection positivity and models with noncompact spin”, TMF, 59:1 (1984), 154–160; Theoret. and Math. Phys., 59:1 (1984), 421–425
This publication is cited in the following 3 articles:
Gibbs Measures and Phase Transitions, 2011, 495
Gibbs Measures and Phase Transitions, 1988
S. B. Shlosman, “The method of reflection positivity in the mathematical theory of first-order phase transitions”, Russian Math. Surveys, 41:3 (1986), 83–134