Continuum Limit Scaling Of Overlap Fermions As Valence Quarks
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High Performance Computing in Science and Engineering, Garching/Munich 2009
Author | : Siegfried Wagner |
Publisher | : Springer Science & Business Media |
Total Pages | : 770 |
Release | : 2010-08-12 |
Genre | : Mathematics |
ISBN | : 3642138721 |
The Leibniz Supercomputing Centre (LRZ) and the Bavarian Competence Network for Technical and Scienti?c High Performance Computing (KONWIHR) publish in the present book results of numerical simulations facilitated by the High P- formance Computer System in Bavaria (HLRB II) within the last two years. The papers were presented at the Fourth Joint HLRB and KONWIHR Review and - sult Workshop in Garching on 8th and 9th December 2009, and were selected from all progress reports of projects that use the HLRB II. Similar to the workshop two years ago, the majority of the contributed papers belong to the area of computational ?uid dynamics (CFD), condensed matter physics, astrophysics, chemistry, computer sciences and high-energy physics. We note a considerable increase of the user c- munity in some areas: Compared to 2007, the number of papers increased from 6 to 12 in condensed matter physics and from 2 to 5 in high-energy physics. Bio s- ences contributed only one paper in 2007, but four papers in 2009. This indicates that the area of application of supercomputers is continuously growing and entering new ?elds of research. The year 2007 saw two major events of particular importance for the LRZ. First, after a substantial upgrade with dual-core processors the SGI Altix 4700 superc- puter reached a peak performance of more than 62 Tera?op/s. And second, the n- pro?t organization Gauss Centre for Supercomputing e. V. (GCS) was founded on April 13th.
Locality and Scaling of Quenched Overlap Fermions
Author | : |
Publisher | : |
Total Pages | : |
Release | : 2005 |
Genre | : |
ISBN | : |
The overlap fermion offers the tremendous advantage of exact chiral symmetry on the lattice, but is numerically intensive. This can be made affordable while still providing large lattice volumes, by using coarse lattice spacing, given that good scaling and localization properties are established. Here, using overlap fermions on quenched Iwasaki gauge configurations, we demonstrate directly that the overlap Dirac operator's range is comfortably small in lattice units for each of the lattice spacings 0.20 fm, 0.17 fm, and 0.13 fm (and scales to zero in physical units in the continuum limit). In particular, our direct results contradict recent speculation that an inverse lattice spacing of 1 GeV is too low to have satisfactory localization. Furthermore, hadronic masses (available on the two coarser lattices) scale very well.
On the Locality and Scaling of Overlap Fermions at Coarse Lattice Spacings
Author | : |
Publisher | : |
Total Pages | : |
Release | : 2006 |
Genre | : |
ISBN | : |
The overlap fermion offers the considerable advantage of exact chiral symmetry on the lattice, but is numerically intensive. This can be made affordable while still providing large lattice volumes, by using coarse lattice spacing, given that good scaling and localization properties are established. Here, using overlap fermions on quenched Iwasaki gauge configurations, we demonstrate directly that, with appropriate choice of negative Wilson's mass, the overlap Dirac operator's range is comfortably small in lattice units for each of the lattice spacings 0.20 fm, 0.17 fm, and 0.13 fm (and scales to zero in physical units in the continuum limit). In particular, our direct results contradict recent speculation that an inverse lattice spacing of 1 GeV is too low to have satisfactory localization. Furthermore, hadronic masses (available on the two coarser lattices) scale very well.
Particle Physics Reference Library
Author | : Herwig Schopper |
Publisher | : Springer Nature |
Total Pages | : 632 |
Release | : 2020 |
Genre | : Heavy ions |
ISBN | : 3030382079 |
This first open access volume of the handbook series contains articles on the standard model of particle physics, both from the theoretical and experimental perspective. It also covers related topics, such as heavy-ion physics, neutrino physics and searches for new physics beyond the standard model. A joint CERN-Springer initiative, the "Particle Physics Reference Library" provides revised and updated contributions based on previously published material in the well-known Landolt-Boernstein series on particle physics, accelerators and detectors (volumes 21A, B1,B2,C), which took stock of the field approximately one decade ago. Central to this new initiative is publication under full open access
Quarks, Gluons and Lattices
Author | : Michael Creutz |
Publisher | : Cambridge University Press |
Total Pages | : 179 |
Release | : 2023-01-31 |
Genre | : Science |
ISBN | : 100929038X |
This 1983 book, reissued as OA, introduces the lattice approach to QFT for elementary particle and solid state physicists.
Condensed Matter Field Theory
Author | : Alexander Altland |
Publisher | : Cambridge University Press |
Total Pages | : 785 |
Release | : 2010-03-11 |
Genre | : Science |
ISBN | : 0521769752 |
This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.
Quantum Fields on a Lattice
Author | : Istvan Montvay |
Publisher | : Cambridge University Press |
Total Pages | : 512 |
Release | : 1994 |
Genre | : Mathematics |
ISBN | : 9780521599177 |
Presents a comprehensive and coherent account of the theory of quantum fields on a lattice.
Renormalization
Author | : John C. Collins |
Publisher | : Cambridge University Press |
Total Pages | : 393 |
Release | : 2023-07-31 |
Genre | : Science |
ISBN | : 1009401769 |