A General method for nonperturbative renormalization of lattice operators

Martinelli, G.; Pittori, C.; Sachrajda, Christopher T.; Testa, M.; Vladikas, A.

doi:10.1016/0550-3213(95)00126-D

A General method for nonperturbative renormalization of lattice operators

G. Martinelli
(
- Rome U. and
- INFN, Rome and
- CERN
)
,
C. Pittori
(
- Orsay, LPT
)
,
Christopher T. Sachrajda
(
- Southampton U.
)
,
M. Testa
(
- Rome U. and
- INFN, Rome
)
,
A. Vladikas
(
- Rome U., Tor Vergata and
- INFN, Rome
)

Nov, 1994

35 pages

Published in:

Nucl.Phys.B 445 (1995) 81-108

e-Print:

hep-lat/9411010 [hep-lat]

DOI:

10.1016/0550-3213(95)00126-D

Report number:

CERN-TH-7342-94,
LPTHE-ORSAY-94-52,
ROME-1022-1994,
SHEP-94-95-03

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Abstract: (DESY)

We propose a non-perturbative method for computing the renormalization constants of generic composite operators. This method is intended to reduce some systematic errors, which are present when one tries to obtain physical predictions from the matrix elements of lattice operators. We also present the results of a calculation of the renormalization constants of several two-fermion operators, obtained, with our method, by numerical simulation of

QCD

, on a

16~3 \times 32

lattice, at

\beta=6.0

. The results of this simulation are encouraging, and further applications to four-fermion operators and to the heavy quark effective theory are proposed.

Note:

LaTeX, 30 pages, postscript files of figures will be sent separately. Report-no: CERN-TH.7342/94 LPTHE 94/52, ROME 94/1022, SHEP 94/95-03

gauge field theory: SU(3)
lattice field theory
operator: composite
renormalization: nonperturbative
operator: (2fermion)
Ward identity
numerical calculations: Monte Carlo

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