A study of practical implementations of the overlap Dirac operator in four dimensions

Nuclear Physics B

Volumn 540, Issue 1-2, 1999, Pages 457-471

  Edwards, Robert G ^a   Heller, Urs M ^a   Narayanan, Rajamani ^a  

^a FLORIDA STATE UNIVERSITY   (United States)

Author keywords

Algorithms; Chiral fermions; Lattice QCD; Topology

Indexed keywords

EID: 0033534906     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(98)00694-4     Document Type: Article

References (22)

1. R. Narayanan and H. Neuberger, Nucl. Phys. B 443 (1995) 305.
2. H. Neuberger, Phys. Lett. B 417 (1998) 141.
3. H. Neuberger, hep-lat/9803011.
4. R.G. Edwards, U.M. Heller and R. Narayanan, hep-lat/9802016.
5. H. Neuberger, hep-lat/9806025.
6. E. Ya. Remez, General Computational Methods of Chebyshev Approximations. The Problems of Linear Real Parameters, AEC-tr-4491, U.S. Atomic Energy Commission, 1962; H.J. Maehly, Methods for fitting rational approximations, parts II and III, Association for Computing Machinery Journal, 10 (1963) 257.
7. E. Ya. Remez, General Computational Methods of Chebyshev Approximations. The Problems of Linear Real Parameters, AEC-tr-4491, U.S. Atomic Energy Commission, 1962; H.J. Maehly, Methods for fitting rational approximations, parts II and III, Association for Computing Machinery Journal, 10 (1963) 257.
8. B. Bunk, Nucl. Phys. B (Proc. Suppl.) 63 (1998) 952.
9. M. Lüscher, hep-lat/9802011.
10. H. Neuberger, Phys. Rev. D 57 (1998) 5417.
11. H. Neuberger, hep-lat/9801031.
12. Y. Kikukawa, R. Narayanan and H. Neuberger, Phys. Rev. D 57 (1998) 1233; R. Narayanan, H. Neuberger and P. Vranas, Phys. Lett. B 353 (1995) 507.
13. Y. Kikukawa, R. Narayanan and H. Neuberger, Phys. Rev. D 57 (1998) 1233; R. Narayanan, H. Neuberger and P. Vranas, Phys. Lett. B 353 (1995) 507.
14. N.J. Higham, Linear Algebra and Appl., Proc. of ILAS Conf. on Pure and Applied Linear Algebra: The New Generation, Pensacola, March 1993.
15. A. Frommer, S. Güsken, T. Lippert, B. Nöckel and K. Schilling, Int. J. Mod. Phys. C 6 (1995) 627; B.Jegerlehner, hep-lat/9612014.
16. A. Frommer, S. Güsken, T. Lippert, B. Nöckel and K. Schilling, Int. J. Mod. Phys. C 6 (1995) 627; B. Jegerlehner, hep-lat/9612014.
17. T. Rivlin, An Introduction to the Approximation of Functions (Dover, New York, 1981).
18. S.L. Moshier, Methods and Programs for Mathematical Functions (Halsted Press, New York, 1989). Code available from http://www.netlib.org/cephes/remes.shar.
19. M.L. Laursen, J. Smit and J.C. Vink, Nucl. Phys. B 343 (1990) 522.
20. B. Bunk, K. Jansen, M. Lüscher and H. Simma, DESY-Report (September 1994); T. Kalkreuter and H. Simma, Comput. Phys. Commun. 93 (1996) 33.
21. B. Bunk, K. Jansen, M. Lüscher and H. Simma, Desy-Report (September 1994); T. Kalkreuter and H. Simma, Comput. Phys. Commun. 93 (1996) 33.
22. R.G. Edwards, U.M. Heller and R. Narayanan, Nucl. Phys. B 522 (1998) 285.