The two flavour Schwinger model: scaling of the scalar condensate

Details The two flavour Schwinger model: scaling of the scalar condensate The two flavour Schwinger model: scaling of the scalar condensate

2007-11-15

arxiv.org/abs/0711.2496v1

PoS LAT2007:270,2007

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 5 figures, contribution to Lattice 2007, Regensburg, Germany, 30 July - 4 August 2007

Scientific paper

We investigate the continuum limit scaling of the scalar condensate in the $N_f=2$ Schwinger model on the lattice. We employ maximally twisted mass Wilson fermions and overlap fermions. We compute the scalar condensate by taking the trace of the propagator (direct method) and by utilizing the integrated Ward-Takahashi identity. While the scalar condensate comes out consistent using these two methods for a given kind of lattice fermions, we find --quite surprisingly-- large discrepancies for the scalar condensate between twisted mass and overlap fermions. These discrepancies are only resolved when using the point split current for twisted mass fermions.

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