Supersymmetry and its spontaneous breaking in the random field Ising model.

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) ≃ 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.

• Publication year

  2011

• Venue

  Physical Review Letters

• Publication date

  2011-03-24

• Fields of study

  Medicine, Physics

• Identifiers
  DOI 10.1103/PhysRevLett.107.041601arXiv 1103.4812PMID 21866990
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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