First-Order Transitions for [Formula presented]-Vector Models in Two and More Dimensions: Rigorous Proof

Physical Review Letters

Volumn 89, Issue 28, 2002, Pages

  van Enter, Aernout C D ^a   Shlosman, Senya B ^b  

^a UNIVERSITY OF GRONINGEN   (Netherlands)

^b CENTRE DE PHYSIQUE THÉORIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85038300460     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.89.285702     Document Type: Article

References (16)

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12. Reflection positivity is by now a fairly standard technique that was introduced into statistical mechanics from field theory to prove the existence of various types of phase transitions in a series of papers by F.J. Dyson, J. Fröhlich, R.B. Israel, E.H. Lieb, B. Simon, and T. Spencer.
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15. and in S.B. Shlosman, Russ. Math. Surveys 41, 83 (1986). Our proof directly follows this last source. One can think of the method here as a kind of generalized, symmetrized Peierls contour argument, where the symmetrization requires the RP property.
16. L. Chayes (private communication).