Testing a non-perturbative mechanism for elementary fermion mass generation: lattice setup
- n this contribution we lay down a lattice setup that allows for the nonperturbative 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 renormalizedWard identities induced by purely fermionic chiral transformations, lattice observables are discussed that enable: a) in theWigner 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.
Author: | Stefano Capitani, Giulia Maria De DivitiisORCiD, Petros DimopoulosORCiD, Roberto FrezzottiORCiDGND, Marco GarofaloORCiD, Bastian KnippschildGND, Bartosz KostrzewaORCiDGND, Ferenc PittlerORCiD, Giancarlo RossiORCiD, Carsten UrbachORCiDGND |
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URN: | urn:nbn:de:hebis:30:3-493267 |
DOI: | https://doi.org/10.1051/epjconf/201817508009 |
ISSN: | 2100-014X |
Parent Title (English): | EPJ Web of Conferences |
Publisher: | EDP Sciences |
Place of publication: | Les Ulis |
Document Type: | Conference Proceeding |
Language: | English |
Year of Completion: | 2018 |
Date of first Publication: | 2018/03/26 |
Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
Contributing Corporation: | 35th International Symposium on Lattice Field Theory (Lattice 2017) |
Release Date: | 2019/04/04 |
Issue: | Article Number 08009 |
Edition: | 175 |
Page Number: | 8 |
HeBIS-PPN: | 448535831 |
Institutes: | Physik / Physik |
Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
Sammlungen: | Universitätspublikationen |
Licence (German): | Creative Commons - Namensnennung 4.0 |