Critical slowing down and error analysis in lattice QCD simulations

Nuclear Physics B

Volumn 845, Issue 1, 2011, Pages 93-119

  Schaefer, Stefan ^a   Sommer, Rainer ^b   Virotta, Francesco ^b  

^a HUMBOLDT UNIVERSITY   (Germany)

^b DESY   (Germany)

Author keywords

Critical slowing down; Error analysis; Lattice QCD; Topology

Indexed keywords

EID: 78650416693     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2010.11.020     Document Type: Article

References (31)

1. Lattice field theory, Proceedings, 26th International Symposium. PoS 2008, LATTICE2008:1.
2. Lattice field theory, Proceedings, 27th International Symposium. PoS 2009, LATTICE2009:1.
3. Del Debbio L., Panagopoulos H., Vicari E. Theta dependence of SU(N) gauge theories. JHEP 2002, 0208:044. arxiv:hep-th/0204125.
4. Alles B., Boyd G., D'Elia M., Giacomo A.D., Vicari E. Hybrid Monte Carlo and topological modes of full QCD. Phys. Lett. B 1996, 389(1):107-111.
5. Bali G.S., Eicker N., Lippert T., Neff H., Orth B., Schilling K., Struckmann T., Viehoff J. Quark mass effects on the topological susceptibility in QCD. Phys. Rev. D Aug, 2001, 64:054502.
6. Bernard C., et al. Topological susceptibility with the improved Asqtad action. Phys. Rev. D 2003, 68:114501. arxiv:hep-lat/0308019.
7. Jung C. Status of dynamical ensemble generation arxiv:1001.0941.
8. Sokal A.D. Monte Carlo methods in statistical mechanics: Foundations and new algorithms. NATO Adv. Sci. Inst. Ser. B Phys. 1997, 131-192.
9. Madras N., Sokal A.D. The pivot algorithm: A highly efficient Monte Carlo method for the self-avoiding walk. J. Stat. Phys. 1988, 50:109.
10. Wolff U. Monte Carlo errors with less errors. Comput. Phys. Commun. 2004, 156:143-153. ALPHA Collaboration. arxiv:hep-lat/0306017.
11. Lüscher M. Computational strategies in lattice QCD arxiv:1002.4232.
12. Duane S., Kennedy A.D., Pendleton B.J., Roweth D. Hybrid Monte Carlo. Phys. Lett. B 1987, 195:216-222.
13. Lüscher M. Schwarz-preconditioned HMC algorithm for two-flavour lattice QCD. Comput. Phys. Commun. 2005, 165:199. arxiv:hep-lat/0409106.
14. Gottlieb S.A., Liu W., Toussaint D., Renken R., Sugar R. Hybrid molecular dynamics algorithms for the numerical simulation of quantum chromodynamics. Phys. Rev. D 1987, 35:2531-2542.
15. Hasenfratz A., Knechtli F. Flavor symmetry and the static potential with hypercubic blocking. Phys. Rev. D 2001, 64:034504. arxiv:hep-lat/0103029.
16. Lüscher M., Sint S., Sommer R., Weisz P. Chiral symmetry and O(a) improvement in lattice QCD. Nucl. Phys. B 1996, 478:365-400. arxiv:hep-lat/9605038.
17. Heitger J., Jüttner A. Lattice cutoff effects for FDs with improved Wilson fermions - a final lesson from the quenched case. JHEP 2009, 0905:101. arxiv:0812.2200.
18. Sommer R. Leptonic decays of B and D mesons. Nucl. Phys. B (Proc. Suppl.) 1995, 42:186-193. arxiv:hep-lat/9411024.
19. Foster M., Michael C. Quark mass dependence of hadron masses from lattice QCD. Phys. Rev. D 1999, 59:074503. UKQCD Collaboration. arxiv:hep-lat/9810021.
20. Necco S., Sommer R. The N(f)=0 heavy quark potential from short to intermediate distances. Nucl. Phys. B 2002, 622:328-346. http://arXiv.org/abs/hep-lat/0108008.
21. s in SU(2) Yang-Mills theory. Nucl. Phys. B 1994, 411:839. arxiv:hep-lat/9310022.
22. Del Debbio L., Manca G.M., Vicari E. Critical slowing down of topological modes. Phys. Lett. B 2004, 594:315-323. arxiv:hep-lat/0403001.
23. Kennedy A.D., Pendleton B. Cost of the generalised hybrid Monte Carlo algorithm for free field theory. Nucl. Phys. B 2001, 607:456-510. arxiv:hep-lat/0008020.
24. Meyer H.B., et al. Exploring the HMC trajectory-length dependence of autocorrelation times in lattice QCD. Comput. Phys. Commun. 2007, 176:91-97. ALPHA Collaboration. arxiv:hep-lat/0606004.
25. Mütter K., Schilling K., Sommer R., De Forcrand P. Towards the limit of the quenched approximation in hadron mass calculations. Proceedings, Lattice Gauge Theory '86 1986, 257-267. Plenum, New York.
26. Lüscher M., Sint S., Sommer R., Weisz P., Wolff U. Non-perturbative O(a) improvement of lattice QCD. Nucl. Phys. B 1997, 491:323-343. arxiv:hep-lat/9609035.
27. Jansen K., Sommer R. O(a) improvement of lattice QCD with two flavors of Wilson quarks. Nucl. Phys. B 1998, 530:185-203. ALPHA Collaboration. arxiv:hep-lat/9803017.
28. Leder B. Scale r0 and the static potential from the CLS lattices. PoS 2010, Lattice2010:233. arxiv:1012.1141.
29. Della Morte M., et al. Preparing for Nf=2 simulations at small lattice spacings. PoS 2007, LAT2007:255. arxiv:0710.1263.
30. Lüscher M. Properties and uses of the Wilson flow in lattice QCD. JHEP 2010, 1008:071. arxiv:1006.4518.
31. Lüscher M. Topology, the Wilson flow and the HMC algorithm arxiv:1009.5877.