Gauge-Yukawa theories: Beta functions at large Nf

Antipin, Oleg; Dondi, Nicola Andrea; Sannino, Francesco; Thomsen, Anders Eller; Wang, Zhi-Wei (2018) Gauge-Yukawa theories: Beta functions at large Nf. Physical review. D, 98 (1). ISSN 2470-0010

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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.

Item Type:	Article
Uncontrolled Keywords:	Resummation methods
Subjects:	NATURAL SCIENCES > Physics
Divisions:	Theoretical Physics Division
Depositing User:	Oleg Antipin
Date Deposited:	08 Dec 2020 13:49
URI:	http://fulir.irb.hr/id/eprint/6102
DOI:	10.1103/physrevd.98.016003

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