The microscopic Twisted Mass Dirac spectrum and the spectral determination of the LECs of Wilson $\ddot{I}‡$-PT

Abstract

We present the comparison of the analytical microscopic spectral density for lattice QCD with $N_{\mathrm{f}}=2$ twisted mass fermions with the one obtained on the lattice utilizing configurations produced by the ETM collaboration. We extract estimates for the chiral condensate as well as the low-energy constant $W_8$ of Wilson $\ddot{I}‡$-PT by employing spectral information of the Wilson Dirac operator with fixed index at finite volume.

7 pages, 3 figures. Talk presented at the 33rd International Symposium on Lattice Field Theory (Lattice 2015), 14-18 July 2015, Kobe International Conference Center, Kobe, Japan