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The microscopic Twisted Mass Dirac spectrum and the spectral determination of the LECs of Wilson $\chi$-PT

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arxiv 1510.09169 v1 pith:C3WYNJ5L submitted 2015-10-30 hep-lat

classification hep-lat
keywords spectralwilsondiraclatticemassmicroscopictwistedanalytical
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present the comparison of the analytical microscopic spectral density for lattice QCD with $N_{\rm f}=2$ 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 $\chi$-PT by employing spectral information of the Wilson Dirac operator with fixed index at finite volume.

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