Evidence for Supersymmetry in the Random-Field Ising Model at $D = 5$

Abstract : We provide a non-trivial test of supersymmetry in the random-field Ising model at five spatial dimensions, by means of extensive zero-temperature numerical simulations. Indeed, supersymmetry relates correlation functions in a D-dimensional disordered system with some other correlation functions in a D-2 clean system. We first show how to check these relationships in a finite-size scaling calculation, and then perform a high-accuracy test. While the supersymmetric predictions are satisfied even to our high-accuracy at D=5, they fail to describe our results at D=4.
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https://hal.archives-ouvertes.fr/hal-02008885
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Submitted on : Wednesday, February 6, 2019 - 1:44:19 AM
Last modification on : Wednesday, April 17, 2019 - 2:52:45 AM

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Nikolaos G. Fytas, Víctor Martín-Mayor, Giorgio Parisi, Marco Picco, Nicolas Sourlas. Evidence for Supersymmetry in the Random-Field Ising Model at $D = 5$. 2019. ⟨hal-02008885⟩

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