We show that, if the formula for the topological charge density operator suggested by fermions obeying the Ginsparg-Wilson relation is employed, it is possible to give a precise and unambiguous definition of the topological susceptibility in full QCD, chi_tL, for finite quark masses on the lattice. The lattice expression of chi_tL looks like the formal continuum one, in the sense that no power divergent subtractions are needed for its proper definition. As a consequence, the small mass behaviour of chi_tL leads directly to a multiplicative renormalizable definition of the chiral condensate that does not require any power divergent subtraction.

Giusti, L., Rossi, G., Testa, M. (2004). Topological susceptibility in full QCD with Ginsparg-Wilson fermions. PHYSICS LETTERS. SECTION B, 587, 157-166 [10.1016/j.physletb.2004.03.010].

Topological susceptibility in full QCD with Ginsparg-Wilson fermions

ROSSI, GIANCARLO;
2004-01-01

Abstract

We show that, if the formula for the topological charge density operator suggested by fermions obeying the Ginsparg-Wilson relation is employed, it is possible to give a precise and unambiguous definition of the topological susceptibility in full QCD, chi_tL, for finite quark masses on the lattice. The lattice expression of chi_tL looks like the formal continuum one, in the sense that no power divergent subtractions are needed for its proper definition. As a consequence, the small mass behaviour of chi_tL leads directly to a multiplicative renormalizable definition of the chiral condensate that does not require any power divergent subtraction.
2004
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore FIS/02 - FISICA TEORICA, MODELLI E METODI MATEMATICI
English
Con Impact Factor ISI
Topological susceptibility, Lattice gauge theories.
http://arxiv.org/abs/hep-lat/0402027
Giusti, L., Rossi, G., Testa, M. (2004). Topological susceptibility in full QCD with Ginsparg-Wilson fermions. PHYSICS LETTERS. SECTION B, 587, 157-166 [10.1016/j.physletb.2004.03.010].
Giusti, L; Rossi, G; Testa, M
Articolo su rivista
File in questo prodotto:
File Dimensione Formato  
0402027v1.pdf

accesso aperto

Descrizione: pdf
Dimensione 160.66 kB
Formato Adobe PDF
160.66 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/2108/95171
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact