The Effect of the Low Energy Constants on the Spectral Properties of the Wilson Dirac Operator - INSPIRE

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The Effect of the Low Energy Constants on the Spectral Properties of the Wilson Dirac Operator

Mario Kieburg
(
- Bielefeld U.
)
,
Jacobus J. M. Verbaarschot
(
- SUNY, Stony Brook
)
,
Savvas Zafeiropoulos
(
- SUNY, Stony Brook and
- Clermont-Ferrand U.
)

Oct 25, 2013

7 pages

Part of Proceedings, 31st International Symposium on Lattice Field Theory (Lattice 2013) : Mainz, Germany, July 29-August 3, 2013, 117

Published in:

PoS LATTICE2013 (2014) 117

Contribution to:

- Lattice 2013
, 117

Published: 2014

e-Print:

1310.7009 [hep-lat]

DOI:

10.22323/1.187.0117

View in:

ADS Abstract Service

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Abstract: (arXiv)

We summarize recent analytical results obtained for lattice artifacts of the non-Hermitian Wilson Dirac operator. Hereby we discuss the effect of all three low energy constants. In particular we study the limit of small lattice spacing and also consider the regime of large lattice spacing which is closely related to the mean field limit. Thereby we extract simple relations between measurable quantities like the average number of additional real modes and the low energy constants. These relations may improve the fitting for the low energy constants.

energy: low
operator: Dirac
lattice field theory
mean field approximation
spectral
quark: Wilson
continuum limit
low-energy constant
perturbation theory: chiral
quantum chromodynamics: quenching

References(26)

Figures(3)

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