• Open Access

UV conformal window for asymptotic safety

Andrew D. Bond, Daniel F. Litim, Gustavo Medina Vazquez, and Tom Steudtner
Phys. Rev. D 97, 036019 – Published 20 February 2018

Abstract

Interacting fixed points in four-dimensional gauge theories coupled to matter are investigated using perturbation theory up to three loop order. It is shown how fixed points, scaling exponents, and anomalous dimensions are obtained as a systematic power series in a small parameter. The underlying ordering principle is explained and contrasted with conventional perturbation theory and Weyl consistency conditions. We then determine the conformal window with asymptotic safety from the complete next-to-next-to-leading order in perturbation theory. Limits for the conformal window arise due to fixed point mergers, the onset of strong coupling, or vacuum instability. A consistent picture is uncovered by comparing various levels of approximation. The theory remains perturbative in the entire conformal window, with vacuum stability dictating the tightest constraints. We also speculate about a secondary conformal window at strong coupling and estimate its lower limit. Implications for model building and cosmology are indicated.

  • Figure
  • Figure
  • Received 8 November 2017
  • Corrected 1 March 2018

DOI:https://doi.org/10.1103/PhysRevD.97.036019

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Corrections

1 March 2018

Correction: The surname of the third author was misordered and subsequently corrected.

Authors & Affiliations

Andrew D. Bond*, Daniel F. Litim, Gustavo Medina Vazquez, and Tom Steudtner§

  • Department of Physics and Astronomy, University of Sussex, Brighton BN1 9QH, United Kingdom

  • *a.bond@sussex.ac.uk
  • d.litim@sussex.ac.uk
  • g.medina-vazquez@sussex.ac.uk
  • §t.steudtner@sussex.ac.uk

Article Text

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Issue

Vol. 97, Iss. 3 — 1 February 2018

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