NDLI: Numerical study of lattice index theorem using improved cooling and overlap fermions

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Numerical study of lattice index theorem using improved cooling and overlap fermions

Content Provider	Semantic Scholar
Author	Zhang, J. B. Bilson-Thompson, S. O. Bonnet, Frédéric D. R. Leinweber, Derek Williams, Anthony G. Zanotti, James
Copyright Year	2001
Abstract	We investigate topological charge and the index theorem on finite lattices numerically. Using mean field improved gauge field configurations we calculate the topological charge Q using the gluon field definition with O(a)-improved cooling and an O(a)-improved field strength tensor Fμν . We also calculate the index of the massless overlap fermion operator by directly measuring the differences of the numbers of zero modes with leftand right–handed chiralities. For sufficiently smooth field configurations we find that the gluon field definition of the topological charge is integer to better than 1% and furthermore that this agrees with the index of the overlap Dirac operator, i.e., the Atiyah-Singer index theorem is satisfied. This establishes a benchmark for reliability when calculating lattice quantities which are very sensitive to topology. PACS numbers: 12.38.Gc 11.15.Ha 12.38.Aw Typeset using REVTEX E-mail: jzhang@physics.adelaide.edu.au E-mail: sbilson@physics.adelaide.edu.au E-mail: fbonnet@physics.adelaide.edu.au E-mail: dleinweb@physics.adelaide.edu.au E-mail: awilliam@physics.adelaide.edu.au E-mail: jzanotti@physics.adelaide.edu.au
File Format	PDF HTM / HTML
Alternate Webpage(s)	https://digital.library.adelaide.edu.au/dspace/bitstream/2440/11143/2/hdl_11143.pdf
Alternate Webpage(s)	http://cds.cern.ch/record/528822/files/0111060.pdf
Alternate Webpage(s)	http://arxiv.org/pdf/hep-lat/0111060v2.pdf
Alternate Webpage(s)	http://arxiv.org/pdf/hep-lat/0111060v1.pdf
Language	English
Access Restriction	Open
Subject Keyword	Anatomy, Regional Arabic numeral 0 Benchmark (computing) Computer cooling Cool - action Dirac operator Email Integer (number) Lattice constant Lattice gauge theory Numerical analysis Numerical method Physics and Astronomy Classification Scheme Quantity Simulation Topological quantum number
Content Type	Text
Resource Type	Article

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