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JHEP 1206 (2012) 051
Topological susceptibility on the lattice and the three-flavour quark condensate
Veronique Bernard1, Sebastien Descotes-Genon2, Guillaume Toucas2

We reanalyse the topological susceptibility assuming the possibility of a significant paramagnetic suppression of the three-flavour quark condensate and a correlated enhancement of vacuum fluctuations of s s-bar pairs. Using the framework of resummed ChPT, we point out that simulations performed near the physical point, with a significant mass hierarchy between u,d and s dynamical quarks, are not able to disentangle the contributions from the quark condensate and sea s s-bar pair fluctuations, and that simulations with three light quark masses of the same order are better suited for this purpose. We perform a combined fit of recent RBC/UKQCD data on pseudoscalar masses and decay constants as well as the topological susceptibility, and we reconsider the determination of lattice spacings in our framework, working out the consequences on the parameters of the chiral Lagrangian. We obtain \Sigma(3;2 GeV)^1/3=241 +/- 15 MeV for the three-flavour quark condensate in the chiral limit. We notice a significant suppression compared to the two-flavour quark condensate \Sigma(2;2 GeV)/\Sigma(3;2 GeV)=1.65 +/- 0.12 and we confirm previous findings of a competition between leading order and next-to-leading order contributions in three-flavour chiral series.
1 :  IPNO - Institut de Physique Nucléaire d'Orsay
2 :  LPT - Laboratoire de Physique Théorique d'Orsay [Orsay]
Physique/Physique des Hautes Energies - Réseau

Physique/Physique des Hautes Energies - Phénoménologie
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