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Asymptotically free and safe fate of symmetry nonrestoration

Borut Bajc1,*, Adrián Lugo2,†, and Francesco Sannino3,4,5,‡

  • 1J. Stefan Institute, 1000 Ljubljana, Slovenia
  • 2Instituto de Física de La Plata-CONICET, and Departamento de Física, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, Argentina
  • 3CP3-Origins & the Danish Institute for Advanced Study, University of Southern Denmark, Campusvej 55, DK-5230 Odense, Denmark
  • 4Dipartimento di Fisica E. Pancini, Università di Napoli Federico II & INFN sezione di Napoli, Complesso Universitario di Monte S. Angelo Edificio 6, via Cintia, 80126 Napoli, Italy
  • 5Scuola Superiore Meridionale, Largo S. Marcellino, 10, 80138 Napoli NA, Italy

  • *borut.bajc@ijs.si
  • †lugo@fisica.unlp.edu.ar
  • ‡sannino@cp3.sdu.dk
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Phys. Rev. D 103, 096014 – Published 17 May, 2021

DOI: https://doi.org/10.1103/PhysRevD.103.096014

Abstract

We investigate the high temperature fate of four-dimensional gauge-Yukawa theories featuring short distance conformality of either interacting or noninteracting nature. The latter is known as complete asymptotic freedom and, as templates, we consider non-Abelian gauge theories featuring either two singlet scalars coupled to gauged fermions via Yukawa interactions or two gauged scalars with(out) fermions. For theories with interacting fixed points at short distance, known as asymptotically safe, we consider two calculable examples. Exploring the landscape of safe and free theories above we discover a class of complete asymptotically free theories for which symmetry breaks at arbitrary high temperatures. In its minimal form this class is constituted by a theory with two fundamental gauged scalars each gauged under an independent group.

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Phys. Rev. D 103, 096014– Published 17 May, 2021
  • Received 4 March 2021
  • Accepted 12 April 2021
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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.

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