A safe CFT at large charge
- 47 Downloads
We apply the large-charge limit to the first known example of a four-dimensional gauge-Yukawa theory featuring an ultraviolet interacting fixed point in all couplings. We determine the energy of the ground state in presence of large fixed global charges and deduce the global symmetry breaking pattern. We show that the fermions decouple at low energy leaving behind a confining Yang-Mills theory and a characteristic spectrum of type I (relativistic) and type II (non-relativistic) Goldstone bosons. Armed with the knowledge acquired above we finally arrive at establishing the conformal dimensions of the theory as a triple expansion in the large-charge, the number of flavors and the controllably small inverse gauge coupling constant at the UV fixed point. Our results unveil a number of noteworthy properties of the low-energy spectrum, vacuum energy and conformal properties of the theory. They also allow us to derive a new consistency condition for the relative sizes of the couplings at the fixed point.
KeywordsConformal Field Theory Global Symmetries Spontaneous Symmetry Breaking Effective Field Theories
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited
- D.F. Litim, M. Mojaza and F. Sannino, Vacuum stability of asymptotically safe gauge-Yukawa theories, JHEP01 (2016) 081 [arXiv:1501.03061] [INSPIRE].
- L. Alvarez-Gaume, D. Orlando and S. Reffert, Large charge at large n, to appear.Google Scholar