Testing a non-perturbative mechanism for elementary fermion mass generation: lattice setup
In 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..
| Medienart: |
E-Artikel |
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| Erscheinungsjahr: |
2018 |
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| Erschienen: |
2018 |
| Enthalten in: |
Zur Gesamtaufnahme - volume:175, p 08009 |
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| Enthalten in: |
EPJ Web of Conferences - 175, p 08009(2018) |
| Sprache: |
Englisch |
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| Beteiligte Personen: |
Capitani Stefano [VerfasserIn] |
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| Links: |
doi.org [kostenfrei] |
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| Themen: |
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| doi: |
10.1051/epjconf/201817508009 |
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| funding: |
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| Förderinstitution / Projekttitel: |
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| PPN (Katalog-ID): |
DOAJ058566449 |
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| 520 | |a In 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. | ||
| 653 | 0 | |a Physics | |
| 700 | 0 | |a Divitiis Giulia Maria de |e verfasserin |4 aut | |
| 700 | 0 | |a Dimopoulos Petros |e verfasserin |4 aut | |
| 700 | 0 | |a Frezzotti Roberto |e verfasserin |4 aut | |
| 700 | 0 | |a Garofalo Marco |e verfasserin |4 aut | |
| 700 | 0 | |a Knippschild Bastian |e verfasserin |4 aut | |
| 700 | 0 | |a Kostrzewa Bartosz |e verfasserin |4 aut | |
| 700 | 0 | |a Pittler Ferenc |e verfasserin |4 aut | |
| 700 | 0 | |a Rossi Giancarlo |e verfasserin |4 aut | |
| 700 | 0 | |a Urbach Carsten |e verfasserin |4 aut | |
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