Taking inspiration from lattice QCD results, we argue that a non-perturbative mass term for fermions can be generated as a consequence of the dynamical phenomenon of spontaneous chiral symmetry breaking, in turn triggered by the explicitly breaking of chiral symmetry induced by the critical Wilson term in the action. In a pure lattice QCD-like theory this mass term cannot be separated from the unavoidably associated linearly divergent contribution. However, if QCD with a Wilson term is enlarged to a theory where also a scalar field is present, coupled to a doublet of SU(2) fermions via a Yukawa interaction, then in the phase where the scalar field takes a non-vanishing (large) expectation value, a dynamically generated and ``naturally'' light fermion mass (numerically unrelated to the expectation value of the scalar field) is seen to emerge, at a critical value of the Yukawa coupling where the symmetry of the model is maximally enhanced.

Frezzotti, R., Rossi, G. (2014). Dynamical quark mass generation. In 31st International Symposium on Lattice Field Theory (LATTICE 2013) - Theoretical Developments. Trieste : SISSA [10.22323/1.187.0354].

Dynamical quark mass generation

FREZZOTTI, ROBERTO;ROSSI, GIANCARLO
2014-01-01

Abstract

Taking inspiration from lattice QCD results, we argue that a non-perturbative mass term for fermions can be generated as a consequence of the dynamical phenomenon of spontaneous chiral symmetry breaking, in turn triggered by the explicitly breaking of chiral symmetry induced by the critical Wilson term in the action. In a pure lattice QCD-like theory this mass term cannot be separated from the unavoidably associated linearly divergent contribution. However, if QCD with a Wilson term is enlarged to a theory where also a scalar field is present, coupled to a doublet of SU(2) fermions via a Yukawa interaction, then in the phase where the scalar field takes a non-vanishing (large) expectation value, a dynamically generated and ``naturally'' light fermion mass (numerically unrelated to the expectation value of the scalar field) is seen to emerge, at a critical value of the Yukawa coupling where the symmetry of the model is maximally enhanced.
International Symposium on Lattice Field Theory (LATTICE 2013)
Mainz (Deutschland)
2013
31.
Wittig, H
Rilevanza internazionale
contributo
2013
2014
Settore FIS/02 - FISICA TEORICA, MODELLI E METODI MATEMATICI
English
Mass generation; lattice gauge theories
Intervento a convegno
Frezzotti, R., Rossi, G. (2014). Dynamical quark mass generation. In 31st International Symposium on Lattice Field Theory (LATTICE 2013) - Theoretical Developments. Trieste : SISSA [10.22323/1.187.0354].
Frezzotti, R; Rossi, G
File in questo prodotto:
File Dimensione Formato  
LATTICE 2013_354.pdf

accesso aperto

Descrizione: main article - file pdf
Tipologia: Versione Editoriale (PDF)
Licenza: Creative commons
Dimensione 121.23 kB
Formato Adobe PDF
121.23 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/95492
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? ND
social impact