Asymptotically free and safe fate of symmetry nonrestoration

Borut Bajc, Adrián Lugo, Francesco Sannino

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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.

TidsskriftPhysical Review D
Udgave nummer9
Antal sider20
StatusUdgivet - 1. maj 2021

Bibliografisk note

Funding Information:
B. B. is very grateful to Goran Senjanović for having been introduced to the fascinating subject of symmetry nonrestoration at high temperature, as well as for illuminating interminable discussions on related subjects. B. B. acknowledges the financial support from the Slovenian Research Agency (research core funding No. P1-0035).

Publisher Copyright:
© 2021 authors.


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