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Improved lattice operators: The Case of the topological charge density

C. Christou
(
- Cyprus U.
)
,
A. Di Giacomo
(
- Pisa U. and
- INFN, Pisa
)
,
H. Panagopoulos
(
- Cyprus U.
)
,
E. Vicari
(
- Pisa U. and
- INFN, Pisa
)

Oct, 1995

11 pages

Published in:

Phys.Rev.D 53 (1996) 2619-2624

e-Print:

hep-lat/9510023 [hep-lat]

DOI:

10.1103/PhysRevD.53.2619

Report number:

IFUP-TH-57-95

View in:

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Abstract:

We analyze the properties of a class of improved lattice topological charge density operators, constructed by a smearing-like procedure. By optimizing the choice of the parameters introduced in their definition, we find operators having (i) a better statistical behavior as estimators of the topological charge density on the lattice, i.e. less noisy; (ii) a multiplicative renormalization much closer to one; (iii) a large suppression of the perturbative tail (and other unphysical mixings) in the corresponding lattice topological susceptibility.

12.38.Gc
11.15.Ha
lattice field theory
charge: topological
charge: density
operator: lattice
susceptibility: topological
perturbation theory: higher-order
renormalization
numerical calculations: Monte Carlo

References(25)

Figures(0)

Current Algebra Theorems for the U(1) Goldstone Boson

Edward Witten
(
- Harvard U.
)

- Nucl.Phys.B 156 (1979) 269-283
•
DOI:
- 10.1016/0550-3213(79)90031-2

U(1) Without Instantons

G. Veneziano
(
- CERN
)

- Nucl.Phys.B 159 (1979) 213-224
•
DOI:
- 10.1016/0550-3213(79)90332-8

Analysis of data on polarized lepton - nucleon scattering

John R. Ellis
(
- CERN
)
,
Marek Karliner
(
- Tel Aviv U.
)

- Phys.Lett.B 313 (1993) 131-140
•
e-Print:
- hep-ph/9305306
•
DOI:
- 10.1016/0370-2693(93)91202-X

Is There a QCD Spin Crisis?

G. Veneziano
(
- CERN
)

- Mod.Phys.Lett.A 4 (1989) 1605
•
DOI:
- 10.1142/S0217732389001830

The Polarized photon structure function g(1)gamma as a probe of chiral symmetry realizations

G.M. Shore
(
- CERN
)
,
G. Veneziano
(
- CERN
)

- Mod.Phys.Lett.A 8 (1993) 373-387
•
DOI:
- 10.1142/S0217732393000386

The Topological Susceptibility on the Lattice

M. Campostrini
(
- INFN, Pisa and
- Pisa U.
)
,
A. Di Giacomo
(
- INFN, Pisa and
- Pisa U.
)
,
H. Panagopoulos
(
- INFN, Pisa and
- Pisa U.
)

- Phys.Lett.B 212 (1988) 206-210
•
DOI:
- 10.1016/0370-2693(88)90526-6

Preliminary Evidence for U(1)-A Breaking in QCD from Lattice Calculations

P. Di Vecchia
(
- Wuppertal U.
)
,
K. Fabricius
(
- Wuppertal U.
)
,
G.C. Rossi
(
- Rome U. and
- INFN, Rome
)
,
G. Veneziano
(
- CERN
)

- Nucl.Phys.B 192 (1981) 392,
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 426-442. ( Nucl. Phys. B192 ( 1981) 392-408) and CERN Geneva - TH. 3091 (81,REC.JUL.) 24p
•
DOI:
- 10.1016/0550-3213(81)90432-6

On the Topological Structure of the Vacuum in SU(2) and SU(3) Lattice Gauge Theories

- Phys.Lett.B 128 (1983) 309-315
•
DOI:
- 10.1016/0370-2693(83)90266-6

The Spin content of the proton in quenched QCD

B. Alles
(
- Pisa U. and
- INFN, Pisa
)
,
M. Campostrini
(
- Pisa U. and
- INFN, Pisa
)
,
L. Del Debbio
(
- Pisa U. and
- INFN, Pisa
)
,
A. Di Giacomo
(
- Pisa U. and
- INFN, Pisa
)
,
H. Panagopoulos
(
- Pisa U. and
- INFN, Pisa and
- Cyprus U.
)

et al.

- Phys.Lett.B 336 (1994) 248-250
•
e-Print:
- hep-lat/9402019
•
DOI:
- 10.1016/0370-2693(94)00924-4

INSTANTONS IN FIELD THEORY

- Riv.Nuovo Cim. 2N8 (1979) 1-117
•
DOI:
- 10.1007/BF02724349

Topological susceptibility: A Nonperturbative determination of renormalizations

A. Di Giacomo
(
- Pisa U. and
- INFN, Pisa and
- Granada U., Theor. Phys. Astrophys. and
- Hacettepe U.
)
,
B. Alles
(
- Pisa U. and
- INFN, Pisa and
- Granada U., Theor. Phys. Astrophys. and
- Hacettepe U.
)
,
M. Campostrini
(
- Pisa U. and
- INFN, Pisa and
- Granada U., Theor. Phys. Astrophys. and
- Hacettepe U.
)
,
Y. Gunduc
(
- Pisa U. and
- INFN, Pisa and
- Granada U., Theor. Phys. Astrophys. and
- Hacettepe U.
)
,
E. Vicari
(
- Pisa U. and
- INFN, Pisa and
- Granada U., Theor. Phys. Astrophys. and
- Hacettepe U.
)

- Nucl.Phys.B Proc.Suppl. 34 (1994) 504-506,
- In *Dallas 1993, Proceedings, Lattice '93* 504-506
•
DOI:
- 10.1016/0920-5632(94)90430-8

Unmasking the Topological Charge Content of Fluctuating Lattice Gauge Fields

M. Teper
(
- Oxford U.
)

- Phys.Lett.B 232 (1989) 227-234
•
DOI:
- 10.1016/0370-2693(89)91692-4

Renormalization and topological susceptibility on the lattice

Adriano Di Giacomo
(
- Pisa U. and
- INFN, Pisa
)
,
Ettore Vicari
(
- Pisa U. and
- INFN, Pisa
)

- Phys.Lett.B 275 (1992) 429-434
•
DOI:
- 10.1016/0370-2693(92)91613-E

Renormalization and topological susceptibility on the lattice: SU(2) Yang-Mills theory

Bartomeu Alles
(
- Granada U., Theor. Phys. Astrophys.
)
,
Massimo Campostrini
(
- Pisa U. and
- INFN, Pisa
)
,
Adriano Di Giacomo
(
- Pisa U. and
- INFN, Pisa
)
,
Yigit Gunduc
(
- Hacettepe U.
)
,
Ettore Vicari
(
- Pisa U. and
- INFN, Pisa
)

- Phys.Rev.D 48 (1993) 2284-2289
•
e-Print:
- hep-lat/9302004
•
DOI:
- 10.1103/PhysRevD.48.2284

Matrix elements of the singlet axial current in the proton

- Phys.Rev.D 50 (1994) 6931-6938
•
e-Print:
- hep-lat/9402018
•
DOI:
- 10.1103/PhysRevD.50.6931

- Phys.Lett.B 192 400

Renormalization of the Axial Anomaly Operators

D. Espriu
(
- Barcelona U.
)
,
R. Tarrach
(
- Barcelona U.
)

- Z.Phys.C 16 (1982) 77
•
DOI:
- 10.1007/BF01573750

Topological charge density renormalization in the presence of dynamical fermions

B. Alles
(
- Pisa U. and
- INFN, Pisa
)
,
A. Di Giacomo
(
- Pisa U. and
- INFN, Pisa
)
,
H. Panagopoulos
(
- Cyprus U.
)
,
E. Vicari
(
- Pisa U. and
- INFN, Pisa
)

- Phys.Lett.B 350 (1995) 70-74
•
e-Print:
- hep-lat/9501030
•
DOI:
- 10.1016/0370-2693(95)00352-L

Topological Charge, Renormalization and Cooling on the Lattice

Massimo Campostrini
(
- Pisa U. and
- INFN, Pisa
)
,
Adriano Di Giacomo
(
- Pisa U. and
- INFN, Pisa
)
,
Haralambos Panagopoulos
(
- Pisa U. and
- INFN, Pisa
)
,
Ettore Vicari
(
- Pisa U. and
- INFN, Pisa
)

- Nucl.Phys.B 329 (1990) 683-697
•
DOI:
- 10.1016/0550-3213(90)90077-Q

First Evidence for the Existence of Instantons in the Quantized SU(2) Lattice Vacuum

Ernst-Michael Ilgenfritz
(
- Leipzig U.
)
,
M.L. Laursen
(
- DESY
)
,
G. Schierholz
(
- DESY and
- Kiel U.
)
,
M. Muller-Preussker
(
- Humboldt U., Berlin
)
,
H. Schiller
(
- DESY, Zeuthen
)

- Nucl.Phys.B 268 (1986) 693,
- Hamburg Desy - DESY 85-108 (85,REC.OCT.) 22p
•
DOI:
- 10.1016/0550-3213(86)90265-8

Axial Anomaly Suppression (and Axial U(1) Symmetry Restoration) at High Temperatures: A Lattice Monte Carlo Study

M. Teper
(
- Rutherford and
- Southampton U.
)

- Phys.Lett.B 171 (1986) 81-85
•
DOI:
- 10.1016/0370-2693(86)91003-8

- Phys.Lett.B 180 212

Topological Fluctuations and Susceptibility in SU(3) Lattice Gauge Theory

- Nucl.Phys.B 288 (1987) 589-627
•
DOI:
- 10.1016/0550-3213(87)90230-6

The SU(3) Topological Susceptibility at Zero and Finite Temperature: A Lattice Monte Carlo Evaluation

M. Teper
(
- Oxford U.
)

- Phys.Lett.B 202 (1988) 553-559
•
DOI:
- 10.1016/0370-2693(88)91863-1

Singularities of the space-time of a plane domain wall when coupled with a scalar field

Anzhong Wang
(
- Ioannina U.
)

- Phys.Lett.B 277 (1992) 49-52
•
DOI:
- 10.1016/0370-2693(92)90955-4