Discovering and quantifying nontrivial fixed points in multi-field models

• Verfasst von: Eichhorn, Astrid [VerfasserIn]
• Verfasst von: Scherer, Michael [VerfasserIn]
• Titel: Discovering and quantifying nontrivial fixed points in multi-field models
• Verf.angabe: A. Eichhorn, T. Helfer, D. Mesterházy, M.M. Scherer
• Fussnoten: Gesehen am 21.11.2017
• Titel Quelle: Enthalten in: The European physical journal / C
• Jahr Quelle: 2016
• Band/Heft Quelle: 76(2016,2) Artikel-Nummer 88, 10 Seiten
• ISSN Quelle: 1434-6052
• DOI: doi:10.1140/epjc/s10052-016-3921-3
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1565585380

Abstract

We use the functional renormalization group and the \epsilon \epsilon -expansion concertedly to explore multicritical universality classes for coupled \bigoplus _i O(N_i)\bigoplus _i O(N_i) 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 N_iN_i. 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.