Renormalisation of composite operators in lattice perturbation theory with clover fermions: non-forward matrix elements

被引:0
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作者
M. Göckeler
R. Horsley
H. Perlt
P.E.L. Rakow
A. Schäfer
G. Schierholz
A. Schiller
机构
[1] Universität Regensburg,Institut für Theoretische Physik
[2] University of Edinburgh,School of Physics
[3] Universität Leipzig,Institut für Theoretische Physik
[4] University of Liverpool,Theoretical Physics Division, Department of Mathematical Sciences
[5] Deutsches Elektronen-Synchrotron DESY,John von Neumann
[6] Deutsches Elektronen-Synchrotron DESY,Institut für Computing NIC
关键词
Vertex Function; Composite Operator; Renormalisation Constant; Wilson Fermion; Wave Function Renormalisation;
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摘要
We consider the renormalisation of lattice QCD operators with one and two covariant derivatives related to the first and second moments of generalised parton distributions and meson distribution amplitudes. Employing the clover fermion action we calculate their non-forward quark matrix elements in one-loop lattice perturbation theory. For some representations of the hypercubic group commonly used in simulations we determine the sets of all possible mixing operators and compute the matrices of the renormalisation factors in one-loop approximation. We describe how tadpole improvement is applied to the results.
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页码:523 / 530
页数:7
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