3 (and even 4) loops renormalization constants for Lattice QCD
| Autor: | C. Torrero, F. Di Renzo, A. Mantovi, V. Miccio, Luigi Scorzato |
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| Rok vydání: | 2006 |
| Předmět: |
Physics
Quark Nuclear and High Energy Physics Chiral perturbation theory High Energy Physics::Lattice Lattice field theory Lattice QCD Atomic and Molecular Physics and Optics Renormalization Lattice (order) Quantum electrodynamics Perturbation theory (quantum mechanics) Lattice model (physics) Mathematical physics |
| Zdroj: | Nuclear Physics B - Proceedings Supplements. 153:74-81 |
| ISSN: | 0920-5632 |
| Popis: | We compute renormalization constants for Lattice QCD by means of Numerical Stochastic Perturbation Theory. As an example we discuss Wilson quark bilinears and in particular the “gold plated” case of Z p / Z s for which we can evaluate the perturbative series up to four loops. By making use of the knowledge of anomalous dimension up to 3 loops in the RI'-MOM scheme, the generic bilinears ca be computed to the same (3rd) order. Finite volume effects are carefully assessed and the continuum limit of the computation is taken in a clean way. The convergence properties of the series can be assessed and a comparison with non-perturbative evaluations of the same quantities can be done. In the end, Lattice Perturbation Theory to high loops is a valuable tool to evaluate renormalization constants for lattice QCD with a very high precision. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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