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arXiv:hep-lat/0409103·v1·High Energy Physics — Lattice

Effects of low-lying fermion modes in the epsilon regime

Kenji Ogawa (1)🇯🇵 · Shoji Hashimoto (2) ((1)Sokendai, (2) KEK)🇯🇵

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Abstract

We investigate the effects of low-lying fermion modes on the QCD partition function in the epsilon-regime. With the overlap Dirac operator we calculate several tens of low-lying fermion eigenvalues on the quenched lattice. By partially incorporating the fermion determinant through the truncated determinant approximation, we calculate the partition function and other related quantities for Nf = 1 and compare them with the theoretical predictions obtained by Leutwyler and Smilga.

Comments: 3 pages, 5 figures, Talk presented at Lattice2004(chiral), Fermilab, June 21-26, 2004

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