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Nonperturbative renormalization of domain wall fermions: Quark bilinears

T. Blum
(
- RIKEN BNL
)
,
Norman H. Christ
(
- Columbia U.
)
,
C. Cristian
(
- Columbia U.
)
,
C. Dawson
(
- Brookhaven
)
,
George Tamminga Fleming
(
- Columbia U.
)

Feb, 2001

53 pages

Published in:

Phys.Rev.D 66 (2002) 014504

e-Print:

hep-lat/0102005 [hep-lat]

DOI:

10.1103/PhysRevD.66.014504

Report number:

CU-TP-995,
BNL-HET-00-27,
RBRC-149

View in:

ADS Abstract Service

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Abstract: (APS)

We find the renormalization coefficients of the quark field and the flavor nonsinglet fermion bilinear operators for the domain wall fermion action, in the regularization independent (RI) renormalization scheme. Our results are from a quenched simulation, on a 163×32 lattice, with β=6.0 and an extent in the fifth dimension of 16. We also discuss the expected effects of the residual chiral symmetry breaking inherent in a domain wall fermion simulation with a finite fifth dimension, and study the evidence for both explicit and spontaneous chiral symmetry breaking effects in our numerical results. We find that the relations between different renormalization factors predicted by chiral symmetry are, to a good approximation, satisfied by our results and that systematic effects due to the (low energy) spontaneous chiral symmetry breaking and zero modes can be controlled. Our results are compared against the perturbative predictions for both their absolute value and renormalization scale dependence.

12.38.Gc
11.15.Ha
gauge field theory: SU(3)
fermion: lattice field theory
fermion: domain wall
renormalization: nonperturbative
symmetry breaking: chiral
zero mode
Ward-Takahashi identity
quark: propagator

References(33)

Figures(0)

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