Preprint/Internal Report

PUBDB-2015-00868

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Spectral density of the Dirac operator in two-flavour QCD

Engel, G. P. (Corresponding Author) ; Giusti, L. ; Lottini, S.DESY* ; Sommer, R.DESY*

2014

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Report No.: arXiv:1411.6386

Abstract: We compute the spectral density of the (Hermitean) Dirac operator in Quantum Chromodynamics with two light degenerate quarks near the origin. We use CLS/ALPHA lattices generated with two flavours of O(a)-improved Wilson fermions corresponding to pseudoscalar meson masses down to 190 MeV, and with spacings in the range 0.05-0.08 fm. Thanks to the coverage of parameter space, we can extrapolate our data to the chiral and continuum limits with confidence. The results show that the spectral density at the origin is non-zero because the low modes of the Dirac operator do condense as expected in the Banks-Casher mechanism. Within errors, the spectral density turns out to be a constant function up to eigenvalues of approximately 80 MeV. Its value agrees with the one extracted from the Gell-Mann-Oakes-Renner relation.

Note: OA

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Contributing Institute(s):

1. NIC (ZEU-NIC)

Research Program(s):

1. 514 - Theoretical Particle Physics (POF2-514) (POF2-514)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2014

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Database coverage:
; Published

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article Engel, G. P. ; Giusti, L. ; Lottini, S.DESY* ; Sommer, R.DESY*
Spectral density of the Dirac operator in two-flavor QCD
Physical review / D 91(5), 054505 (2015) [10.1103/PhysRevD.91.054505]2015     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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