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arXiv · 2003.03902

The Schwartz-Soffer and more inequalities for random fields

C. Itoi·Y. Sakamoto
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Abstract

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.

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C. Itoi, Y. Sakamoto. 2020-03-09. The Schwartz-Soffer and more inequalities for random fields. https://doi.org/10.1088/1751-8121/ab92bd

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