2+1 flavor QCD with the fixed point action in the $\epsilon$-regime

Peter Hasenfratz; Dieter Hierl; Vidushi Maillart; Ferenc Niedermayer; Andreas Schafer; Christof Weiermann; Manuel Weingart

2+1 flavor QCD with the fixed point action in the $\epsilon$-regime

High Energy Physics - Lattice 2008-11-26 v1

Authors: Peter Hasenfratz , Dieter Hierl , Vidushi Maillart , Ferenc Niedermayer , Andreas Schafer , Christof Weiermann , Manuel Weingart

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Abstract

We generated configurations with the approximate fixed-point Dirac operator $D_\mathrm{FP}$ on a $12^4$ lattice with $a \approx 0.13$ fm where the scale was set by $r_0$ . The distributions of the low lying eigenvalues in different topological sectors were compared with those of the Random Matrix Theory which leads to a prediction of the chiral condensate.

Keywords

QCD fixed point action $\epsilon$-regime lattice configurations Dirac operator topological sectors chiral condensate Random Matrix Theory

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@article{arxiv.0710.0551,
  title  = {2+1 flavor QCD with the fixed point action in the $\epsilon$-regime},
  author = {Peter Hasenfratz and Dieter Hierl and Vidushi Maillart and Ferenc Niedermayer and Andreas Schafer and Christof Weiermann and Manuel Weingart},
  journal= {arXiv preprint arXiv:0710.0551},
  year   = {2008}
}

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6 pages, 5 figures, presented at the XXV International Symposium on Lattice Field Theory, July 30 - August 4 2007, Regensburg, Germany

2+1 flavor QCD with the fixed point action in the $\epsilon$-regime

Abstract

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