2015/10/31 by Astrid Eichhorn, Thomas Helfer, D. Mesterházy +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics #cond-mat.stat-mech #hep-lat #hep-th
paper · pdf · doi:10.1140/epjc/s10052-016-3921-3
published as The European Physical Journal C 76, 1 (2016) · 10 pages, 6 figures; minor changes, as published in EPJ C
openalex publication_date 2016/02/01 · arxiv created 2016/03/03 · arxiv updated 2016/03/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We use the functional renormalization group and the ε-expansion concertedly to explore multicritical universality classes for coupled \bigoplusi O(Ni) vector-field models in three Euclidean dimensions. Exploiting the complementary strengths of these two methods we show how to make progress in theories with large numbers of interactions, and a large number of possible symmetry-breaking patterns. For the three- and four-field models we find a new fixed point that arises from the mutual interaction between different field sectors, and we establish the absence of infrared-stable fixed point solutions for the regime of small Ni. Moreover, we explore these systems as toy models for theories that are both asymptotically safe and infrared complete. In particular, we show that these models exhibit complete renormalization group trajectories that begin and end at nontrivial fixed points.