5. Theoretical Physics (CSN4)
# Topological susceptibility and chiral condensate with maximally twisted mass fermions

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by

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Europe/Rome

Aula Conversi (LNF)
### Aula Conversi

#### LNF

Via Enrico Fermi, 40
00044 Frascati (Roma)

Description

We study the `spectral projector' method for the computation of the the
chiral condensate and the topological susceptibility, using maximally twisted mass Wilson fermions. In particular, we perform a study of the quark mass
dependence of the chiral condensate $\Sigma$ and topological
susceptibility $\chi_{top}$ in the range $270\;\mathrm{MeV} < m_{\pi} <
500\;\mathrm{MeV}$ and compare our data with the analytical predictions. In
addition, we compute $\chi_{top}$ in the quenched approximation where we
matched the lattice spacing to the dynamical simulations. Using the Kaon, $\eta$ and $\eta'$ meson masses computed on the dynamical ensembles, we then
perform a preliminary test of the Witten-Veneziano relation.