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Nonperturbative renormalization constants using Ward identities

Tanmoy Bhattacharya
(
- Los Alamos
)
,
Shailesh Chandrasekharan
(
- Duke U.
)
,
Rajan Gupta
(
- Los Alamos
)
,
Weon-Jong Lee
(
- Los Alamos
)
,
Stephen R. Sharpe
(
- Washington U., Seattle and
- Tsukuba U.
)

Apr, 1999

8 pages

Published in:

Phys.Lett.B 461 (1999) 79-88

e-Print:

hep-lat/9904011 [hep-lat]

DOI:

10.1016/S0370-2693(99)00796-0

Report number:

LAUR-99-1717,
UW-PT-98-15,
UTCCP-P-56,
DUKE-TH-99-185

View in:

ADS Abstract Service

reference search43 citations

Citations per year

Abstract: (arXiv)

We extend the application of axial Ward identities to calculate

b_A, b_P

and

b_T

, coefficients that give the mass dependence of the renormalization constants of the corresponding bilinear operators in the quenched theory. The extension relies on using operators with non-degenerate quark masses. It allows a complete determination of the O(a) improvement coefficients for bilinears in the quenched approximation using Ward Identities alone. Only the scale dependent normalization constants

Z_P^0

(or

Z_S^0

) and

Z_T

are undetermined. We present results of a pilot numerical study using hadronic correlators.

Note:

8 pages. Modified "axis" source for figures also included

gauge field theory: SU(3)
fermion: lattice field theory
renormalization: nonperturbative
mass dependence
Ward identity: axial
operator: Dirac
approximation: quenching
hadron: correlation function
numerical calculations: Monte Carlo

References(16)

Figures(0)

Continuum Limit and Improved Action in Lattice Theories. 1. Principles and $\varphi^4$ Theory

K. Symanzik
(
- DESY
)

- Nucl.Phys.B 226 (1983) 187-204
•
DOI:
- 10.1016/0550-3213(83)90468-6

Nonperturbative renormalization of lattice QCD at all scales

Karl Jansen
(
- DESY
)
,
Chuan Liu
(
- DESY
)
,
Martin Luscher
(
- DESY
)
,
Hubert Simma
(
- Edinburgh U.
)
,
Stefan Sint
(
- Munich, Max Planck Inst.
)

et al.

- Phys.Lett.B 372 (1996) 275-282
•
e-Print:
- hep-lat/9512009
•
DOI:
- 10.1016/0370-2693(96)00075-5

Improved Continuum Limit Lattice Action for QCD with Wilson Fermions

B. Sheikholeslami
(
- Hamburg U.
)
,
R. Wohlert
(
- Hamburg U.
)

- Nucl.Phys.B 259 (1985) 572,
- Nucl. Phys. B259 ( 1985) 572-596 and Hamburg Desy - DESY 85-024 (85,REC.MAR.) 26p
•
DOI:
- 10.1016/0550-3213(85)90002-1

Chiral Symmetry on the Lattice with Wilson Fermions

Marco Bochicchio
(
- Rome U. and
- INFN, Rome
)
,
Luciano Maiani
(
- Rome U. and
- INFN, Rome
)
,
Guido Martinelli
(
- Frascati
)
,
Gian Carlo Rossi
(
- Rome U., Tor Vergata and
- INFN, Rome
)
,
Massimo Testa
(
- INFN, Rome
)

- Nucl.Phys.B 262 (1985) 331,
- Asia Pacific Conf.1987:439,
- Trieste Electroweak 1985:25
•
DOI:
- 10.1016/0550-3213(85)90290-1

Chiral symmetry and O(a) improvement in lattice QCD

Martin Luscher
(
- DESY
)
,
Stefan Sint
(
- Munich, Max Planck Inst.
)
,
Rainer Sommer
(
- CERN
)
,
Peter Weisz
(
- Munich, Max Planck Inst.
)

- Nucl.Phys.B 478 (1996) 365-400
•
e-Print:
- hep-lat/9605038
•
DOI:
- 10.1016/0550-3213(96)00378-1

Nonperturbative O(a) improvement of lattice QCD

Martin Luscher
(
- DESY
)
,
Stefan Sint
(
- Florida State U., SCRI
)
,
Rainer Sommer
(
- DESY, Zeuthen and
- CERN
)
,
Peter Weisz
(
- Munich, Max Planck Inst.
)
,
Ulli Wolff
(
- Humboldt U., Berlin
)

- Nucl.Phys.B 491 (1997) 323-343
•
e-Print:
- hep-lat/9609035
•
DOI:
- 10.1016/S0550-3213(97)00080-1

Nonperturbative determination of the axial current normalization constant in O(a) improved lattice QCD

Martin Luscher
(
- DESY
)
,
Stefan Sint
(
- Florida State U., SCRI
)
,
Rainer Sommer
(
- CERN and
- DESY, Zeuthen
)
,
Hartmut Wittig
(
- Oxford U.
)

- Nucl.Phys.B 491 (1997) 344-364
•
e-Print:
- hep-lat/9611015
•
DOI:
- 10.1016/S0550-3213(97)00087-4

Nonperturbative O(a) improvement of the vector current

M. Guagnelli
(
- CERN
)
,
R. Sommer
(
- DESY, Zeuthen
)

- Nucl.Phys.B Proc.Suppl. 63 (1998) 886-888,
•
e-Print:
- hep-lat/9709088
•
DOI:
- 10.1016/S0920-5632(97)00930-4

Renormalization of lattice two fermion operators with improved nearest neighbor action

E. Gabrielli
(
- Rome U. and
- INFN, Rome
)
,
G. Martinelli
(
- Rome U. and
- INFN, Rome
)
,
C. Pittori
(
- Rome U. and
- INFN, Rome
)
,
G. Heatlie
(
- Southampton U.
)
,
Christopher T. Sachrajda
(
- Southampton U.
)

- Nucl.Phys.B 362 (1991) 475-486
•
DOI:
- 10.1016/0550-3213(91)90569-J

Further results on O(a) improved lattice QCD to one loop order of perturbation theory

- Nucl.Phys.B 502 (1997) 251-268
•
e-Print:
- hep-lat/9704001
•
DOI:
- 10.1016/S0550-3213(97)00372-6

Further one loop results in O(a) improved lattice QCD

- Nucl.Phys.B Proc.Suppl. 63 (1998) 856-858,
•
e-Print:
- hep-lat/9709096
•
DOI:
- 10.1016/S0920-5632(97)00920-1

Perturbative calculation of improvement coefficients to O(g**2a) for bilinear quark operators in lattice QCD

Yusuke Taniguchi
(
- Tsukuba U.
)
,
Akira Ukawa
(
- Tsukuba U.
)

- Phys.Rev.D 58 (1998) 114503
•
e-Print:
- hep-lat/9806015
•
DOI:
- 10.1103/PhysRevD.58.114503

Nonperturbative improvement of composite operators with Wilson fermions

G. Martinelli
(
- Rome U. and
- INFN, Rome
)
,
G.C. Rossi
(
- Rome U., Tor Vergata and
- INFN, Rome
)
,
Christopher T. Sachrajda
(
- Southampton U.
)
,
Stephen R. Sharpe
(
- Rome U. and
- INFN, Rome and
- Washington U., Seattle
)
,
M. Talevi
(
- Edinburgh U.
)

et al.

- Phys.Lett.B 411 (1997) 141-151
•
e-Print:
- hep-lat/9705018
•
DOI:
- 10.1016/S0370-2693(97)01007-1

Nonperturbative renormalization constants on the lattice from flavor nonsinglet Ward identities

G.M. de Divitiis
(
- Southampton U.
)
,
R. Petronzio
(
- CERN and
- Rome U., Tor Vergata and
- INFN, Rome
)

- Phys.Lett.B 419 (1998) 311-316
•
e-Print:
- hep-lat/9710071
•
DOI:
- 10.1016/S0370-2693(97)01444-5

Nonperturbative renormalization constants using Ward identities

Tanmoy Bhattacharya
(
- Los Alamos
)
,
Shailesh Chandrasekharan
(
- Duke U.
)
,
Rajan Gupta
(
- Los Alamos
)
,
Weon-Jong Lee
(
- Los Alamos
)
,
Stephen R. Sharpe
(
- Washington U., Seattle
)

- Nucl.Phys.B Proc.Suppl. 73 (1999) 276-278,
•
e-Print:
- hep-lat/9810018
•
DOI:
- 10.1016/S0920-5632(99)85046-4

Wilson versus clover fermions: A Case for improvement

Rajan Gupta
(
- Los Alamos
)

- Nucl.Phys.B Proc.Suppl. 73 (1999) 321-323,
•
e-Print:
- hep-lat/9810016
•
DOI:
- 10.1016/S0920-5632(99)85061-0