Testing a non-perturbative mechanism for elementary fermion mass generation: numerical results
Johann Wolfgang Goethe-Universität Frankfurt am Main, Institut für Theoretische Physik, Max-von-Laue-Strasse 1 D-60438 Frankfurt am Main, Germany
2 Dipartimento di Fisica, Università di Roma “Tor Vergata" and INFN, Sezione di Roma 2, Via della Ricerca Scientifica - 00133 Rome, Italy
3 Centro Fermi - Museo Storico della Fisica e Centro Studi e Ricerche Enrico Fermi, Compendio del Viminale, Piazza del Viminiale 1, I-00184, Rome, Italy
4 Higgs Centre for Theoretical Physics, School of Physics and Astronomy, The University of Edinburgh, Edinburgh EH9 3JZ, Scotland, UK
5 Helmholtz Institut für Strahlen-und Kernphysik (Theorie), Nussallee 14-16 Bethe Center for Theoretical Physics, Nussallee 12 Universität Bonn, D-53115 Bonn, Germany
* Speaker, e-mail: firstname.lastname@example.org
Published online: 26 March 2018
Based on a recent proposal according to which elementary particle masses could be generated by a non-perturbative dynamical phenomenon, alternative to the Higgs mechanism, we carry out lattice simulations of a model where a non-abelian strongly interacting fermion doublet is also coupled to a doublet of complex scalar fields via a Yukawa and an “irrelevant" Wilson-like term. In this pioneering study we use naive fermions and work in the quenched approximation. We present preliminary numerical results both in the Wigner and in the Nambu-Goldstone phase, focusing on the observables relevant to check the occurrence of the conjectured dynamical fermion mass generation effect in the continuum limit of the critical theory in its spontaneously broken phase.
© The Authors, published by EDP Sciences, 2018
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