Parisi-Sourlas Supersymmetry in Random Field Models Article Swipe
Related Concepts
Supersymmetry
Field (mathematics)
Statistical physics
Physics
Mathematical physics
Mathematics
Pure mathematics
Apratim Kaviraj
,
Slava Rychkov
,
Emilio Trevisani
·
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.3204/pubdb-2022-06280
· OA: W4221164617
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.3204/pubdb-2022-06280
· OA: W4221164617
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 $ϕ^3$ model but not for the RF $ϕ^4$ 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.
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