Journal
PHYSICAL REVIEW LETTERS
Volume 107, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.107.041601
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We provide a resolution of one of the long-standing puzzles in the theory of disordered systems. By reformulating the functional renormalization group for the critical behavior of the random field Ising model in a superfield formalism, we are able to follow the associated supersymmetry and its spontaneous breaking along the functional renormalization group flow. Breaking is shown to occur below a critical dimension d(DR) similar or equal to 5.1 and leads to a breakdown of the dimensional reduction'' property. We compute the critical exponents as a function of dimension and give evidence that scaling is described by three independent exponents.
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