Discovering and quantifying nontrivial fixed points in multi-field models

Eichhorn, A.; Helfer, T.; Mesterhazy, David; Scherer, M. M. (2016). Discovering and quantifying nontrivial fixed points in multi-field models. European physical journal. C - particles and fields, 76(2), p. 88. EDP Sciences 10.1140/epjc/s10052-016-3921-3

[img]
Preview
Text
EurPhysJC(2016)76-88.pdf - Published Version
Available under License Creative Commons: Attribution (CC-BY).

Download (944kB) | Preview

We use the functional renormalization group and the ⋲-expansion concertedly to explore multicritical universality classes for coupled ⨁i 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 fixedpoint 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 showthat these models exhibit complete renormalization group trajectories that begin and end at nontrivial fixed points.

Item Type:

Journal Article (Original Article)

Division/Institute:

10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Mesterhazy, David

Subjects:

500 Science > 530 Physics

ISSN:

1434-6044

Publisher:

EDP Sciences

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

08 Aug 2016 14:03

Last Modified:

08 Aug 2016 14:03

Publisher DOI:

10.1140/epjc/s10052-016-3921-3

ArXiv ID:

1510.04807

BORIS DOI:

10.7892/boris.85288

URI:

https://boris.unibe.ch/id/eprint/85288

Actions (login required)

Edit item Edit item
Provide Feedback