Continuous external momenta in non-perturbative lattice simulations: a computation of renormalization factors

We discuss the usage of continuous external momenta for computing renormalization factors as needed to renormalize operator matrix elements. These kind of external momenta are encoded in special boundary conditions for the fermion fields. The method allows to compute certain renormalization factors...

Full description

Saved in:
Bibliographic Details
Published in:Nuclear physics. B 2003-08, Vol.664 (1), p.276-298
Main Authors: Guagnelli, M, Jansen, K, Palombi, F, Petronzio, R, Shindler, A, Wetzorke, I
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We discuss the usage of continuous external momenta for computing renormalization factors as needed to renormalize operator matrix elements. These kind of external momenta are encoded in special boundary conditions for the fermion fields. The method allows to compute certain renormalization factors on the lattice that would have been very difficult, if not impossible, to compute with standard methods. As a result we give the renormalization group invariant step scaling function for a twist-2 operator corresponding to the average momentum of non-singlet quark densities.
ISSN:0550-3213
1873-1562
DOI:10.1016/S0550-3213(03)00394-8