Journal Article

PUBDB-2022-06280

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Parisi-Sourlas Supersymmetry in Random Field Models

Kaviraj, A. (Corresponding author)DESY* ; Rychkov, S. ; Trevisani, E.

2022
APS College Park, Md.

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Please use a persistent id in citations: doi:10.1103/PhysRevLett.129.045701  doi:10.3204/PUBDB-2022-06280

Report No.: arXiv:2112.06942

Abstract: 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.

Keyword(s): field theory: conformal ; phi**n model: 3 ; supersymmetry: symmetry breaking ; phi**n model: 4 ; random field ; numerical calculations ; fixed point ; critical phenomena ; renormalization group

Note: 16 pages, 2 figures; minor modifications, version accepted for publication in PRL

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. EXC 2121 - Das Quantisierte Universum (390833306) (390833306)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2022

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint Kaviraj, A. (Corresponding author)DESY* ; Rychkov, S. ; Trevisani, E.
Parisi-Sourlas Supersymmetry in Random Field Models
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