Testing a non-perturbative mechanism for elementary fermion mass generation: lattice setup
Abstract
In this contribution we lay down a lattice setup that allows for the non-perturbative study of a field theoretical model where a SU(2) fermion doublet, subjected to non-Abelian gauge interactions, is also coupled to a complex scalar field doublet via a Yukawa and an "irrelevant" Wilson-like term. Using naive fermions in quenched approximation and based on the renormalized Ward identities induced by purely fermionic chiral transformations, lattice observables are discussed that enable: a) in the Wigner phase, the determinations of the critical Yukawa coupling value where the purely fermionic chiral transformation become a symmetry up to lattice artifacts; b) in the Nambu-Goldstone phase of the resulting critical theory, a stringent test of the actual generation of a fermion mass term of non-perturbative origin. A soft twisted fermion mass term is introduced to circumvent the problem of exceptional configurations, and observables are then calculated in the limit of vanishing twisted mass.
Cite
@article{arxiv.1710.10956,
title = {Testing a non-perturbative mechanism for elementary fermion mass generation: lattice setup},
author = {Stefano Capitani and Giulia Maria de Divitiis and Petros Dimopoulos and Roberto Frezzotti and Marco Garofalo and Bastian Knippschild and Bartosz Kostrzewa and Ferenc Pittler and Giancarlo Rossi and Carsten Urbach},
journal= {arXiv preprint arXiv:1710.10956},
year = {2018}
}
Comments
8 pages, 2 figures; Proceedings of the 35th International Symposium on Lattice Field Theory, 18-24 June 2017, Granada, Spain. arXiv admin note: text overlap with arXiv:1611.03997