Renormalisation and off-shell improvement in lattice perturbation theory

Capitani, S. and Goeckeler, Meinulf and Horsley, R. and Perlt, H. and Rakow, Paul E. L. and Schierholz, G. and Schiller, A. (2001) Renormalisation and off-shell improvement in lattice perturbation theory. NUCLEAR PHYSICS B, 593 (1-2). pp. 183-228. ISSN 0550-3213

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Abstract

We discuss the improvement of flavour non-singlet point and one-link lattice quark operators, which describe the quark currents and the first moment of the DIS structure functions respectively. Suitable bases of improved operators are given, and the corresponding renormalisation factors and improvement coefficients are calculated in one-loop lattice perturbation theory, using the Sheikholeslami-Wohlert (clover) action. To this order we achieve off-shell improvement by eliminating the effect of contact terms. We use massive fermions, and our calculations are done keeping all terms up to first order in the lattice spacing, for arbitrary m(2)/p(2), in a general covariant gauge. We also compare clover fermions with fermions satisfying the Ginsparg-Wilson relation, and show how to remove O (a) effects off-shell in this case too, and how this is in many aspects simpler than for clover fermions. Finally, tadpole improvement is also considered. (C) 2001 Elsevier Science B.V. All rights reserved.

Item Type: Article
Uncontrolled Keywords: DEEP-INELASTIC SCATTERING; WILSON FERMIONS; NONPERTURBATIVE RENORMALIZATION; O(A) IMPROVEMENT; MATRIX-ELEMENTS; CONTINUUM-LIMIT; QCD; OPERATORS; SYMMETRY; SPECTRUM; lattice perturbation theory; improved actions
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 15 Feb 2022 14:17
Last Modified: 15 Feb 2022 14:17
URI: https://pred.uni-regensburg.de/id/eprint/41807

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