2017/05/31 by Holger Gies, Tobias Hellwig, Andreas Wipf +1 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cold Atom Physics and Bose-Einstein Condensates #Functional renormalization group #Mathematical physics #Particle physics #Perturbation theory (quantum mechanics) #Physics #Quantum Chromodynamics and Particle Interactions #R-parity #R-symmetry #Renormalization #Renormalization group #Supergravity #Supersymmetry #Supersymmetry breaking #Theoretical physics #Yukawa potential #cond-mat.str-el #hep-th
paper · pdf · doi:10.1007/jhep12(2017)132
28 pages, 2 figures; v2: published version, includes a new appendix
openalex publication_date 2017/12/01 · arxiv created 2018/01/09 · arxiv updated 2018/01/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the emergence of N = 1 supersymmetry in the long-range behavior of three-dimensional parity-symmetric Yukawa systems. We discuss a renormalization approach that manifestly preserves supersymmetry whenever such symmetry is realized, and use it to prove that supersymmetry-breaking operators are irrelevant, thus proving that such operators are suppressed in the infrared. All our findings are illustrated with the aid of the ϵ-expansion and a functional variant of perturbation theory, but we provide numerical estimates of critical exponents that are based on the non-perturbative functional renormalization group.