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2+1 Flavor QCD simulated in the epsilon-regime in different topological sectors

Authors :
Andreas Schäfer
Vidushi Maillart
C. Weiermann
M. Weingart
Ferenc Niedermayer
Peter Hasenfratz
Dieter Hierl
Publication Year :
2007
Publisher :
arXiv, 2007.

Abstract

We generated configurations with the parametrized fixed-point Dirac operator D_{FP} on a (1.6 fm)^4 box at a lattice spacing a=0.13 fm. We compare the distributions of the three lowest k=1,2,3 eigenvalues in the nu= 0,1,2 topological sectors with that of the Random Matrix Theory predictions. The ratios of expectation values of the lowest eigenvalues and the cumulative eigenvalue distributions are studied for all combinations of k and nu. After including the finite size correction from one-loop chiral perturbation theory we obtained for the chiral condensate in the MSbar scheme Sigma(2GeV)^{1/3}=0.239(11) GeV, where the error is statistical only.<br />Comment: 19 pages, 13 figures, added Sigma in MSbar

Details

Database :
OpenAIRE
Accession number :
edsair.doi.dedup.....d2dd517c44a9babbe56f95db717579e9
Full Text :
https://doi.org/10.48550/arxiv.0707.0071