Non-hermitian exact local bosonic algorithm for dynamical quarks |
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| Affiliation: | 1. Università di Roma “La Sapienza”, I-00198 Rome, Italy;2. SCSC, ETH-Zentrum, CH-8092 Zürich, Switzerland;3. Max-Planck-Institut für Physik, D-80805 Munich, Germany;1. School of Marine Science and Technology, Harbin Institute of Technology at Weihai, Weihai, 264209, Shandong, PR China;2. School of Materials Science and Engineering, Harbin Institute of Technology at Weihai, Weihai, 264209, Shandong, PR China;3. School of Environment and Material Engineering, Yantai University, Yantai, 264005, Shandong, PR China;1. School of Environment, Natural Resources & Geography, Bangor University, Gwynedd LL57 2UW, UK;2. CSIRO Agriculture & Food, Locked Bag 2, Glen Osmond, SA 5054, Australia;3. Key Laboratory of Agro-ecological Processes in Subtropical Region, Institute of Subtropical Agriculture, Chinese Academy of Sciences, Hunan 410125, China;4. SoilsWest, UWA School of Agriculture and Environment, Faculty of Science, The University of Western Australia, Crawley 6009, Western Australia, Australia;1. Fachbereich Biowissenschaften, Merck Stiftungsprofessur für Molekulare Biotechnologie, Goethe-Universität Frankfurt, Frankfurt am Main, Germany;2. Bereich Mikrobiologie, Biozentrum Martinsried, Ludwig-Maximilians-Universität München, München, Germany;3. Buchmann Institute for Molecular Life Sciences (BMLS), Goethe-Universität Frankfurt, Frankfurt am Main, Germany;1. School of Transportation, Southeast University, Nanjing 210096, China;2. School of Instrument Science and Engineering, Southeast University, Nanjing 210096, China;3. Key Laboratory of Micro-Inertial Instrument and Advanced Navigation Technology, Ministry of Education, Nanjing 210096, China |
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| Abstract: | We present an exact version of the local bosonic algorithm for the simulation of dynamical quarks in lattice QCD. This version is based on a non-hermitian polynomial approximation of the inverse of the quark matrix. A Metropolis test corrects the systematic errors. Two variants of this test are presented. For both of them, a formal proof is given that this Monte Carlo algorithm converges to the right distribution. Simulation data are presented for different lattice parameters. The dynamics of the algorithm and its scaling in lattice volume and quark mass are investigated. |
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