Non-perturbative quark mass renormalization in quenched lattice QCD |
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| Affiliation: | 1. Deutsches Elektronen-Synchrotron, DESY, Notkestrasse 85, D-22603 Hamburg, Germany;2. DESY-Zeuthen, Platanenallee 6, D-15738 ,Zeuthen, Germany;3. Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OXl 3NP, UK;1. Instituto de Física Corpuscular (IFIC), Centro Mixto CSIC-Universidad de Valencia, Institutos de Investigación de Paterna, Apartado 22085, E-46071 Valencia, Spain;2. Faculty of Physics and Astronomy, Wroclaw University, Wroclaw, Poland;1. Physikalisches Institut, Heidelberg University, Heidelberg, Germany;2. Institut für Kernphysik and PRISMA cluster of excellence, Mainz University, Mainz, Germany;1. Institut für Kernphysik, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany;2. Jožef Stefan Institute, SI-1000 Ljubljana, Slovenia;3. Department of Physics, University of Zagreb, HR-10002 Zagreb, Croatia;4. Clermont Université, Université Blaise Pascal, F-63000 Clermont-Ferrand, France;5. Department of Physics, University of Ljubljana, SI-1000 Ljubljana, Slovenia;6. MIT-LNS, Cambridge MA, 02139, USA;1. School of Physics and Astronomy, Tel Aviv University, Tel Aviv 69978, Israel;2. Institut für Kernphysik, Johannes Gutenberg-Universität, 55099 Mainz, Germany;3. Jožef Stefan Institute, 1000 Ljubljana, Slovenia;4. Department of Physics, University of Zagreb, HR-10002 Zagreb, Croatia;5. Rutgers, The State University of New Jersey, Piscataway, NJ 08855, USA;6. Department of Physics, NRCN, P.O. Box 9001, Beer-Sheva 84190, Israel;7. Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel;8. Department of Physics, University of Ljubljana, 1000 Ljubljana, Slovenia;9. University of South Carolina, Columbia, SC 29208, USA;1. Physikalisches Institut der Universität Heidelberg, INF 226, 69120 Heidelberg, Germany;2. Institut für Kernphysik, Johann-Joachim-Becherweg 45, Johannes Gutenberg-Universität Mainz, 55128 Mainz, Germany;3. Institut für Prozessdatenverarbeitung und Elektronik, KIT, Hermann-von-Helmholtz-Platz 1, 76344 Eggenstein-Leopoldshafen, Germany;4. Department of Physics, Kansas State University, 116, Cardwell Hall, Manhattan, KS 66506, USA |
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| Abstract: | The renormalization factor relating the bare to the renormalization group invariant quark masses is accurately calculated in quenched lattice QCD using a recursive finite-size technique. The result is presented in the form of a product of a universal factor times another factor, which depends on the details of the lattice theory but is easy to compute, since it does not involve any large scale differences. As a byproduct the A-parameter of the theory is obtained with a total error of 8%. |
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