Testing a non-perturbative mechanism for elementary fermion mass generation: lattice setup
| Autor: | Bastian Knippschild, Ferenc Pittler, Giancarlo Rossi, Bartosz Kostrzewa, Petros Dimopoulos, Giulia Maria de Divitiis, Marco Garofalo, Carsten Urbach, Stefano Capitani, Roberto Frezzotti |
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| Přispěvatelé: | 35th International Symposium on Lattice Field Theory (Lattice 2017) |
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Physics
High Energy Physics - Theory 010308 nuclear & particles physics QC1-999 High Energy Physics::Lattice Mass generation High Energy Physics - Lattice (hep-lat) High Energy Physics::Phenomenology Yukawa potential FOS: Physical sciences Observable Quenched approximation Fermion 01 natural sciences Settore FIS/02 - Fisica Teorica Modelli e Metodi Matematici Theoretical physics High Energy Physics - Lattice High Energy Physics - Theory (hep-th) Lattice (order) 0103 physical sciences ddc:530 Non-perturbative 010306 general physics Scalar field |
| Zdroj: | EPJ Web of Conferences, Vol 175, p 08009 (2018) |
| Popis: | 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. Comment: 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 |
| Databáze: | OpenAIRE |
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