2012/08/27 by Marianne Heilmann, Daniel F. Litim, Franziska Synatschke-Czerwonka +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Degenerate energy levels #Euclidean geometry #Geometry #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Phase transition #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.86.105006
23 pages, 18 figures
arxiv created 2012/08/27 · openalex publication_date 2012/11/05 · arxiv updated 2013/05/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We perform a global renormalization group study of O(N) symmetric Wess-Zumino theories and their phases in three Euclidean dimensions. At infinite N the theory is solved exactly. The phases and phase transitions are worked out for finite and infinite short-distance cutoffs. A distinctive new feature arises at strong coupling, where the effective superfield potential becomes multivalued, signalled by divergences in the fermion-boson interaction. Our findings resolve the long-standing puzzle about the occurrence of degenerate O(N) symmetric phases. At finite N, we find a strongly coupled fixed point in the local potential approximation and explain its impact on the phase transition. We also examine the possibility for a supersymmetric Bardeen-Moshe-Bander phenomenon and relate our findings with the spontaneous breaking of supersymmetry in other models.