Discovering and quantifying nontrivial fixed points in multi-field models

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• 作者：A. Eichhorn ; T. Helfer ; D. Mesterházy ; M. M. Scherer
• 刊名：The European Physical Journal C - Particles and Fields
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：76
• 期：2
• 全文大小：922 KB
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Elementary Particles and Quantum Field Theory
  Nuclear Physics, Heavy Ions and Hadrons
  Physics beyond the Standard Model
  Measurement Science and Instrumentation
  Astronomy, Astrophysics and Cosmology
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1434-6052

文摘

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