Abstract
I prove a new correlation inequality for a class of N-component classical ferromagnets (1≤N≤4). This inequality implies that the correlation functions decay exponentially and the spontaneous magnetization is zero, above the mean-field critical temperature.
Original language | English (US) |
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Pages (from-to) | 431-439 |
Number of pages | 9 |
Journal | Journal of Statistical Physics |
Volume | 28 |
Issue number | 3 |
DOIs | |
State | Published - Jul 1982 |
Keywords
- GHS inequality
- Gaussian model
- Lebowitz inequality
- Mean-field theory
- correlation inequalities
- critical temperature
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics