Phase structure of completely asymptotically free SU() models with quarks and scalar quarks
F. F. Hansen (CP3-Origins, University of Southern Denmark, Campusvej 55 5230 Odense M, Denmark); T. Janowski (CP3-Origins, University of Southern Denmark, Campusvej 55 5230 Odense M, Denmark); K. Langæble (CP3-Origins, University of Southern Denmark, Campusvej 55 5230 Odense M, Denmark); R. B. Mann (Department of Physics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada); F. Sannino (CP3-Origins, University of Southern Denmark, Campusvej 55 5230 Odense M, Denmark, Theoretical Physics Department, CERN, 1211 Geneva, Switzerland, Danish IAS, University of Southern Denmark, 5230 Odense, Denmark); et al - Show all 7 authors
We determine the phase diagram of completely asymptotically free gauge theories featuring complex scalars and Dirac quarks transforming according to the fundamental representation of the gauge group. The analysis is performed at the maximum known order in perturbation theory. We unveil a very rich dynamics and associated phase structure. Intriguingly, we discover that the completely asymptotically free conditions guarantee that the infrared dynamics displays long-distance conformality, and in a regime when perturbation theory is applicable. We conclude our analysis by determining the quantum corrected potential of the model and summarizing the possible patterns of radiative symmetry breaking. These models are of potential phenomenological interest as either elementary or composite ultraviolet finite extensions of the standard model.
