We consider a model in which Goldstone bosons, described by a SU(N) chiral nonlinear σ model, are coupled to an N-plet of colored fermions by means of a Yukawa interaction. We study the one-loop renormalization group flow and show that the non-Gaussian UV fixed point, which is present in the purely bosonic model, is lost because of fermion loop effects unless N is sufficiently large. We then add four-fermion contact interactions to the Lagrangian and show that in this case there exist several non-Gaussian fixed points. The strength of the contact interactions, predicted by the requirement that the theory flows towards a fixed point in the UV, is compared to the current experimental bounds. This toy model could provide an important building block of an asymptotically safe model of the weak interactions.
|Titolo:||Fermions and Goldstone bosons in an asymptotically safe model|
|Autori:||Bazzocchi F; Fabbrichesi M; Percacci R; Tonero A; Vecchi L|
|Rivista:||PHYSICS LETTERS. SECTION B|
|Data di pubblicazione:||2011|
|Digital Object Identifier (DOI):||10.1016/j.physletb.2011.10.029|
|Appare nelle tipologie:||1.1 Journal article|