Localization properties of the topological charge density and the low lying eigenmodes of overlap fermions - INSPIRE

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Localization properties of the topological charge density and the low lying eigenmodes of overlap fermions

Yoshiaki Koma
(
- DESY
)
,
Ernst-Michael Ilgenfritz
(
- Humboldt U., Berlin
)
,
Karl Koller
(
- Munich U.
)
,
Gerrit Schierholz
(
- DESY and
- NIC, Zeuthen and
- DESY, Zeuthen
)
,
Thomas Streuer
(
- NIC, Zeuthen and
- DESY, Zeuthen and
- Freie U., Berlin
)

Sep, 2005

6 pages

Part of Proceedings, 23rd International Symposium on Lattice field theory (Lattice 2005) : Dublin, Ireland, Jul 25-30, 2005

Published in:

PoS LAT2005 (2006) 300

Contribution to:

- Lattice 2005

e-Print:

hep-lat/0509164 [hep-lat]

DOI:

10.22323/1.020.0300

Report number:

DESY-05-180,
HU-EP-05-54

View in:

ADS Abstract Service

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Abstract:

Overlap fermions, which preserve exact chiral symmetry on the lattice, provide a powerful tool for investigating the topological structure of the vacuum. Applying this formulation to zero-temperature quenched SU(3) configurations generated by means of the Luescher-Weisz action, we define the topological charge density with and without UV filtering and study its properties by looking at the density profile and the two-point correlation function. We observe that the density possesses global sign coherent structures, which get increasingly tangled as more and more modes are included. This change of the structure is also detected by the increasing negative tail of the two-point function. We also study the inverse participation ratio of the eigenmodes and discuss their dimensionality.

References(6)

Figures(0)

Quark spectra and light hadron phenomenology from overlap fermions with improved gauge field action

QCDSF-UKQCD

Collaboration

•

D. Galletly

et al.

- Nucl.Phys.B Proc.Suppl. 129 (2004) 453-455,
•
e-Print:
- hep-lat/0310028
•
DOI:
- 10.1016/S0920-5632(03)02611-2

Some more remarks on the Witten-Veneziano formula for the eta-prime mass

Erhard Seiler
(
- Munich, Max Planck Inst.
)

- Phys.Lett.B 525 (2002) 355-359
•
e-Print:
- hep-th/0111125
•
DOI:
- 10.1016/S0370-2693(01)01469-1

The Negativity of the overlap-based topological charge density correlator in pure-glue QCD and the non-integrable nature of its contact part

I. Horvath
(
- Kentucky U.
)
,
A. Alexandru
(
- Kentucky U.
)
,
J.B. Zhang
(
- Adelaide U.
)
,
Y. Chen
(
- Beijing, Inst. High Energy Phys.
)
,
S.J. Dong
(
- Kentucky U.
)

et al.

- Phys.Lett.B 617 (2005) 49-59
•
e-Print:
- hep-lat/0504005
•
DOI:
- 10.1016/j.physletb.2005.04.076

Properties of near zero modes and chiral symmetry breaking

Christof Gattringer
(
- Regensburg U.
)
,
Meinulf Gockeler
(
- Regensburg U.
)
,
Paul E.L. Rakow
(
- Regensburg U.
)
,
Stefan Schaefer
(
- Regensburg U.
)
,
Andreas Schafer
(
- Regensburg U.
)

- Nucl.Phys.B 617 (2001) 101-116
•
e-Print:
- hep-lat/0107016
•
DOI:
- 10.1016/S0550-3213(01)00478-3

The Scaling dimension of low lying Dirac eigenmodes and of the topological charge density

MILC

Collaboration

•

C. Aubin
(
- Washington U., St. Louis
)

et al.

- Nucl.Phys.B Proc.Suppl. 140 (2005) 626-628
•
e-Print:
- hep-lat/0410024
•
DOI:
- 10.1016/j.nuclphysbps.2004.11.312

Evidence for fine tuning of fermionic modes in lattice gluodynamics

F.V. Gubarev
(
- Moscow, ITEP
)
,
S.M. Morozov
(
- Moscow, ITEP
)
,
M.I. Polikarpov
(
- Moscow, ITEP
)
,
V.I. Zakharov
(
- Munich, Max Planck Inst.
)

- JETP Lett. 82 (2005) 343-349,
- Pisma Zh.Eksp.Teor.Fiz. 82 (2005) 381-387
•
e-Print:
- hep-lat/0505016
•
DOI:
- 10.1134/1.2137371