The Schwartz-Soffer and more inequalities for random fields

A new series of correlation inequalities for random field spin systems is proven rigorously. First one corresponds to the well-known Schwartz-Soffer inequality. These are expected to rule out incorrect results calculated in effective theories and numerical studies. The large N expansion with the rep...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2020-07, Vol.53 (29), p.295002
Main Authors: Itoi, C, Sakamoto, Y
Format: Article
Language:English
Subjects:
correlation inequalities
critical exponents
disordered systems
expansion
Gaussian interpolation
large
multiple-point correlation functions
Citations: Items that this one cites
Online Access:Get full text
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Summary:A new series of correlation inequalities for random field spin systems is proven rigorously. First one corresponds to the well-known Schwartz-Soffer inequality. These are expected to rule out incorrect results calculated in effective theories and numerical studies. The large N expansion with the replica method for random field systems as an example is checked by these inequalities. It is shown that several critical exponents of multiple-point correlation functions at critical point satisfy obtained inequalities.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/ab92bd