Discovering and quantifying nontrivial fixed points in multi-field models

A. Eichhorn, T. Helfer, D. Mesterházy, M.M. Scherer

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Abstrakt

We use the functional renormalization group and the (Formula presented.) -expansion concertedly to explore multicritical universality classes for coupled (Formula presented.) 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 (Formula presented.). 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.

OriginalsprogEngelsk
Artikelnummer88
TidsskriftEuropean Physical Journal C
Vol/bind76
Udgave nummer2
Sider (fra-til)1-10
ISSN1434-6044
DOI
StatusUdgivet - 2016

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