Nonperturbative renormalization and improvement of the local vector current for quenched and unquenched Wilson fermions

By considering the local vector current between nucleon states and imposing charge conservation, we determine its renormalisation constant and quark mass improvement coefficient for Symanzik

O(a)

improved Wilson fermions. The computation is first performed for quenched fermions (and for completeness also with unimproved fermions) and compared against known results. The two-flavour unquenched case is then considered.

Note:

15 pages, 5 figures, Latex, Final version Report-no: DESY 03-062, Edinburgh 2003/06, Leipzig LU-ITP 2003/011, Liverpool LTH 575

fermion: lattice field theory
gauge field theory: SU(3)
renormalization: nonperturbative
current: vector
numerical calculations: Monte Carlo

References(21)

Figures(0)

Advanced lattice QCD

Martin Luscher
(
- DESY
)

•
e-Print:
- hep-lat/9802029

Nonperturbative renormalization of QCD

R. Sommer
(
- DESY, Zeuthen
)

- Lect.Notes Phys. 512 (1998) 65-113
•
e-Print:
- hep-ph/9711243
•
DOI:
- 10.1007/BFb0106893

Uses of Effective Field Theory in Lattice QCD: Chapter 39 in At the Frontiers of Particle Physics, Handbook of QCD

Andreas S. Kronfeld
(
- Fermilab
)

- In *Shifman, N. (ed.): At the frontier of particle physics. Vol. 4* 2411-2477
•
e-Print:
- hep-lat/0205021
•
DOI:
- 10.1142/9789812777270_0004

Exact chiral symmetry, topological charge and related topics

Ferenc Niedermayer
(
- PSI, Villigen
)

- Nucl.Phys.B Proc.Suppl. 73 (1999) 105-119,
•
e-Print:
- hep-lat/9810026
•
DOI:
- 10.1016/S0920-5632(99)85011-7

Operator improvement for Ginsparg-Wilson fermions

S. Capitani
(
- DESY
)
,
M. Gockeler
(
- Regensburg U.
)
,
R. Horsley
(
- Humboldt U., Berlin
)
,
Paul E.L. Rakow
(
- Regensburg U.
)
,
G. Schierholz
(
- DESY and
- DESY, Zeuthen
)

- Phys.Lett.B 468 (1999) 150-160
•
e-Print:
- hep-lat/9908029
•
DOI:
- 10.1016/S0370-2693(99)01142-9

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

Perturbative renormalization of bilinear quark and gluon operators

M. Gockeler
(
- Julich, NIC and
- Aachen, Tech. Hochsch. and
- Frankfurt U.
)
,
R. Horsley
(
- Humboldt U., Berlin
)
,
Ernst-Michael Ilgenfritz
(
- Humboldt U., Berlin
)
,
H. Oelrich
(
- Julich, NIC and
- DESY, Zeuthen
)
,
H. Perlt
(
- Leipzig U.
)

et al.

- Nucl.Phys.B Proc.Suppl. 53 (1997) 896-898,
- Lattice 96:896-898
•
e-Print:
- hep-lat/9608033
•
DOI:
- 10.1016/S0920-5632(96)00812-2

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

Renormalization and off-shell improvement in lattice perturbation theory

et al.

- Nucl.Phys.B 593 (2001) 183-228
•
e-Print:
- hep-lat/0007004
•
DOI:
- 10.1016/S0550-3213(00)00590-3

Polarized and unpolarized nucleon structure functions from lattice QCD

M. Gockeler
(
- Julich, NIC and
- Aachen, Tech. Hochsch.
)
,
R. Horsley
(
- Julich, NIC and
- Humboldt U., Berlin
)
,
Ernst-Michael Ilgenfritz
(
- Humboldt U., Berlin
)
,
H. Perlt
(
- Leipzig U.
)
,
Paul E.L. Rakow
(
- Freie U., Berlin
)

et al.

- Phys.Rev.D 53 (1996) 2317-2325
•
e-Print:
- hep-lat/9508004
•
DOI:
- 10.1103/PhysRevD.53.2317

Towards a lattice calculation of the nucleon structure functions

M. Gockeler
(
- Julich, NIC
)
,
R. Horsley
(
- Julich, NIC and
- DESY
)
,
Ernst-Michael Ilgenfritz
(
- Humboldt U., Berlin
)
,
H. Perlt
(
- Leipzig U.
)
,
Paul E.L. Rakow
(
- Freie U., Berlin
)

et al.

- Nucl.Phys.B Proc.Suppl. 42 (1995) 337-345
•
e-Print:
- hep-lat/9412055
•
DOI:
- 10.1016/0920-5632(95)00244-4

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

A New way to set the energy scale in lattice gauge theories and its applications to the static force and $\alpha_s$ in SU(2) Yang-Mills theory

R. Sommer
(
- DESY
)

- Nucl.Phys.B 411 (1994) 839-854,
- Nucl. Phys. B411 (1994) 839-854. and Hamburg DESY - DESY 93-062 (93/05,rec.Jun.) 18 p. C
•
e-Print:
- hep-lat/9310022
•
DOI:
- 10.1016/0550-3213(94)90473-1