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Discovering and quantifying nontrivial fixed points in multi-field models

Overview of attention for article published in The European Physical Journal C, February 2016
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Title
Discovering and quantifying nontrivial fixed points in multi-field models
Published in
The European Physical Journal C, February 2016
DOI 10.1140/epjc/s10052-016-3921-3
Pubmed ID
Authors

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

Abstract

We use the functional renormalization group and the [Formula: see text]-expansion concertedly to explore multicritical universality classes for coupled [Formula: see text] 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: see text]. 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.

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X Demographics

The data shown below were collected from the profiles of 3 X users who shared this research output. Click here to find out more about how the information was compiled.
Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 6 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Vietnam 1 17%
Unknown 5 83%

Demographic breakdown

Readers by professional status Count As %
Researcher 3 50%
Student > Ph. D. Student 2 33%
Student > Doctoral Student 1 17%
Student > Master 1 17%
Readers by discipline Count As %
Physics and Astronomy 6 100%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 1. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 19 October 2015.
All research outputs
#17,302,400
of 25,394,764 outputs
Outputs from The European Physical Journal C
#3,111
of 9,055 outputs
Outputs of similar age
#188,932
of 312,225 outputs
Outputs of similar age from The European Physical Journal C
#55
of 176 outputs
Altmetric has tracked 25,394,764 research outputs across all sources so far. This one is in the 21st percentile – i.e., 21% of other outputs scored the same or lower than it.
So far Altmetric has tracked 9,055 research outputs from this source. They receive a mean Attention Score of 2.8. This one has gotten more attention than average, scoring higher than 57% of its peers.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 312,225 tracked outputs that were published within six weeks on either side of this one in any source. This one is in the 30th percentile – i.e., 30% of its contemporaries scored the same or lower than it.
We're also able to compare this research output to 176 others from the same source and published within six weeks on either side of this one. This one has gotten more attention than average, scoring higher than 58% of its contemporaries.