• Open Access

Gauge-Yukawa theories: Beta functions at large Nf

Oleg Antipin, Nicola Andrea Dondi, Francesco Sannino, Anders Eller Thomsen, and Zhi-Wei Wang
Phys. Rev. D 98, 016003 – Published 6 July 2018

Abstract

We consider the dynamics of gauge-Yukawa theories in the presence of a large number of matter constituents. We first review the current status for the renormalization group equations of gauge-fermion theories and extend the results to semisimple groups. In this regime these theories develop an interacting ultraviolet fixed point that for the semisimple case leads to a rich phase diagram. The latter contains a complete asymptotically safe fixed point repulsive in all couplings. We then add two gauged Weyl fermions belonging to arbitrary representations of the semisimple gauge group and a complex, gauged scalar to the original gauge-fermion theory allowing for new Yukawa interactions and quartic scalar self-coupling. Consequently, we determine the first nontrivial order in 1/Nf for the Yukawa and quartic beta functions. Our work elucidates, consolidates, and extends results obtained earlier in the literature. We also acquire relevant knowledge about the dynamics of gauge-Yukawa theories beyond perturbation theory. Our findings are applicable to any extension of the standard model featuring a large number of fermions such as asymptotic safety.

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  • Received 17 April 2018

DOI:https://doi.org/10.1103/PhysRevD.98.016003

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

Authors & Affiliations

Oleg Antipin1,*, Nicola Andrea Dondi2,†, Francesco Sannino2,‡, Anders Eller Thomsen2,§, and Zhi-Wei Wang2,3,∥

  • 1Rudjer Boskovic Institute, Division of Theoretical Physics, Bijenička 54, HR-10000 Zagreb, Croatia
  • 2CP3-Origins, University of Southern Denmark, Campusvej 55, 5230 Odense M, Denmark
  • 3Department of Physics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada

  • *oantipin@irb.hr
  • dondi@cp3.sdu.dk
  • sannino@cp3.sdu.dk
  • §aethomsen@cp3.sdu.dk
  • wang@cp3.sdu.dk

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Issue

Vol. 98, Iss. 1 — 1 July 2018

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