Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/11143
Citations | ||
Scopus | Web of Science® | Altmetric |
---|---|---|
?
|
?
|
Type: | Journal article |
Title: | Numerical study of the lattice index theorem using improved cooling and overlap fermions |
Author: | Zhang, J. Bilson-Thompson, S. Bonnet, F. Leinweber, D. Williams, A. Zanotti, J. |
Citation: | Physical Review D: Particles, Fields, Gravitation and Cosmology, 2002; 65(7):074510-1-074510-7 |
Publisher: | American Physical Soc |
Issue Date: | 2002 |
ISSN: | 1550-7998 0556-2821 |
Organisation: | Centre for the Sub-Atomic Structure of Matter |
Statement of Responsibility: | J. B. Zhang, S. O. Bilson-Thompson, F. D. R. Bonnet, D. B. Leinweber, A. G. Williams, and J. M. Zanotti |
Abstract: | We investigate the 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(a⁴)-improved cooling and an O(a⁴)-improved field strength tensor Fμν. We also calculate the index of the massless overlap fermion operator by directly measuring the differences between the numbers of zero modes with left- and right–handed chiralities. For sufficiently smooth field configurations we find that the gluon field definition of the topological charge is an 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 that are very sensitive to topology. |
Rights: | ©2002 American Physical Society |
DOI: | 10.1103/PhysRevD.65.074510 |
Published version: | http://dx.doi.org/10.1103/physrevd.65.074510 |
Appears in Collections: | Aurora harvest 2 Special Research Centre for the Subatomic Structure of Matter publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
hdl_11143.pdf | Published version | 80.45 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.