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Article Dans Une Revue Physical Review Letters Année : 2022

Parisi-Sourlas Supersymmetry in Random Field Models

Résumé

By the Parisi-Sourlas conjecture, the critical point of a theory with random field (RF) disorder is described by a supersymmeric (SUSY) conformal field theory (CFT), related to a d-2 dimensional CFT without SUSY. Numerical studies indicate that this is true for the RF ϕ3 model but not for the RF ϕ4 model in d<5 dimensions. Here we argue that the SUSY fixed point is not reached because of new relevant SUSY-breaking interactions. We use a perturbative renormalization group in a judiciously chosen field basis, allowing systematic exploration of the space of interactions. Our computations agree with the numerical results for both cubic and quartic potential.

Dates et versions

hal-03509402 , version 1 (04-01-2022)

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Apratim Kaviraj, Slava Rychkov, Emilio Trevisani. Parisi-Sourlas Supersymmetry in Random Field Models. Physical Review Letters, 2022, 129 (4), pp.045701. ⟨10.1103/PhysRevLett.129.045701⟩. ⟨hal-03509402⟩
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