Dynamical fermion mass generation: A lattice study.
Capitani S., de Divitiis G.M., Dimopoulos P., Frezzotti R., Garofalo M., Knippschild B., Kostrzewa B., Pittler F., Rossi G.C., Urbach C.
In a recent work (R. Frezzotti and G.C. Rossi, Phys. Rev. D 92, 054505, 2015) it has been conjectured that elementary particle masses can be generated by a non-perturbative dynamical effect, alternative to the Higgs mechanism. In this talk we present preliminary numerical results of a lattice simulation of a non-Abelian gauge model where a strongly interacting fermion doublet is also coupled to a doublet of complex scalar fields via a Yukawa and an "irrelevant" chiral symmetry breaking $d=6$ Wilson-like term. We focus on observables relevant to check the occurrence of the conjectured dynamical fermion mass generation phenomenon in the Nambu-Goldstone phase of the critical model where the Ward-Takahashi identities of fermionic chiral symmetry hold.