Topological susceptibility from the overlap

Journal of High Energy Physics

Volumn 8, Issue 2, 2004, Pages 51-67

  Del Debbio, Luigi ^a   Pica, Claudio ^a  

^a UNIVERSITY OF PISA   (Italy)

Author keywords

Lattice Gauge Field Theories; Lattice QCD; Nonperturbative Effects

Indexed keywords

EID: 23044437681     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (45)

1. S. Weinberg, The U(1) problem, Phys. Rev. D 11 (1975) 3583.
2. G. 't Hooft, Symmetry breaking through Bell-Jackiw anomalies, Phys. Rev. Lett. 37 (1976) 8.
3. G. 't Hooft, A planar diagram theory for strong interactions, Nucl. Phys. B 72 (1974) 461.
4. E. Witten, Current algebra theorems for the U(1) 'Goldstone boson', Nucl. Phys. B 156 (1979) 269.
5. G. Veneziano, U(1) without instantons, Nucl. Phys. B 159 (1979) 213.
6. A.S. Kronfeld, Topological aspects of lattice gauge theories, Nucl. Phys. 4 (Proc. Suppl.) (1988) 329.
7. M. Campostrini, A. Di Giacomo and H. Panagopoulos, The topological susceptibility on the lattice, Phys. Lett. B 212 (1988) 206.
8. A(1) breaking in QCD from lattice calculations, Nucl. Phys. B 192 (1981) 392.
9. M. Campostrini, A. Di Giacomo, H. Panagopoulos and E. Vicari, Topological charge, renormalization and cooling on the lattice, Nucl. Phys. B 329 (1990) 683.
10. A. Di Giacomo and E. Vicari, Renormalization and topological susceptibility on the lattice, Phys. Lett. B 275 (1992) 429.
11. B. Alles, M. Campostrini, A. Di Giacomo, Y. Gunduc and E. Vicari, Renormalization and topological susceptibility on the lattice: SU(2) Yang-Mills theory, Phys. Rev. D 48 (1993) 2284 [hep-lat/9302004].
12. B. Alles, M. D'Elia and A. Di Giacomo, Topological susceptibility at zero and finite T in SU(3) Yang-Mills theory, Nucl. Phys. B 494 (1997) 281 [hep-lat/9605013].
13. M. Teper, Axial anomaly suppression (and axial U(1) symmetry restoration) at high temperatures: a lattice Monte Carlo study, Phys. Lett. B 171 (1986) 81.
14. M. Teper, The topological susceptibility in SU(2) lattice gauge theory: an exploratory study, Phys. Lett. B 171 (1986) 86.
15. P. de Forcrand, M. Garcia Perez and I.-O. Stamatescu, Topology of the SU(2) vacuum: a lattice study using improved cooling, Nucl. Phys. B 499 (1997) 409 [hep-lat/9701012].
16. L. Del Debbio, H. Panagopoulos and E. Vicari, Theta dependence of SU(N) gauge theories, J. High Energy Phys. 08 (2002) 044 [hep-th/0204125].
17. P.H. Ginsparg and K.G. Wilson, A remnant of chiral symmetry on the lattice, Phys. Rev. D 25 (1982) 2649.
18. R. Narayanan and H. Neuberger, Chiral fermions on the lattice, Phys. Rev. Lett. 71 (1993) 3251 [hep-lat/9308011].
19. R. Narayanan and H. Neuberger, A construction of lattice chiral gauge theories, Nucl. Phys. B 443 (1995) 305 [hep-th/9411108].
20. P. Hasenfratz, Lattice QCD without tuning, mixing and current renormalization, Nucl. Phys. B 525 (1998) 401 [hep-lat/9802007].
21. M. Lüscher, Exact chiral symmetry on the lattice and the ginsparg- wilson relation, Phys. Lett. B 428 (1998) 342 [hep-lat/9802011].
22. P. Hasenfratz, V. Laliena and F. Niedermayer, The index theorem in QCD with a finite cut-off, Phys. Lett. B 427 (1998) 125 [hep-lat/9801021].
23. A(1) problem on the lattice with Ginsparg- Wilson fermions, Nucl. Phys. B 628 (2002) 234 [hep-lat/0108009].
24. L. Giusti, Exact chiral symmetry on the lattice: QCD applications, Nucl. Phys. 119 (Proc. Suppl.) (2003) 149 [hep-lat/0211009].
25. CP-PACS collaboration, A. Ali Khan et al., Topological susceptibility in lattice QCD with two flavors of dynamical quarks, Phys. Rev. D 64 (2001) 114501 [hep-lat/0106010].
26. R.G. Edwards, U.M. Heller and R. Narayanan, Spectral flow, chiral condensate and topology in lattice QCD, Nucl. Phys. B 535 (1998) 403 [hep-lat/9802016].
27. c, Phys. Lett. B 535 (2002) 358 [hep-lat/0203013].
28. P. Hasenfratz, S. Hauswirth, T. Jorg, F. Niedermayer and K. Holland, Testing the fixed-point QCD action and the construction of chiral currents, Nucl. Phys. B 643 (2002) 280 [hep-lat/0205010].
29. MILC collaboration, T. DeGrand and U.M. Heller, Witten- Veneziano relation, quenched QCD and overlap fermions, Phys. Rev. D 65 (2002) 114501 [hep-lat/0202001].
30. R.G. Edwards, U.M. Heller, J.E. Kiskis and R. Narayanan, Chiral condensate in the deconfined phase of quenched gauge theories, Phys. Rev. D 61 (2000) 074504 [hep-lat/9910041].
31. c) gauge theories, Phys. Rev. D 66 (2002) 094505 [hep-lat/0203030].
32. T.-W. Chiu and T.-H. Hsieh, Light quark masses, chiral condensate and quark-gluon condensate in quenched lattice QCD with exact chiral symmetry, Nucl. Phys. B 673 (2003) 217 [hep-lat/0305016].
33. I. Horvath et al., Low-dimensional long-range topological charge structure in the QCD vacuum, Phys. Rev. D 68 (2003) 114505 [hep-lat/0302009].
34. I. Horvath, S.J. Dong, T. Draper, F.X. Lee, K.F. Liu, H.B. Thacker and J.B. Zhang, On the local structure of topological charge fluctuations in QCD, Phys. Rev. D 67 (2003) 011501 [hep-lat/0203027].
35. P. Hernandez, K. Jansen and M. Lüscher, Locality properties of Neuberger's lattice Dirac operator, Nucl. Phys. B 552 (1999) 363 [hep-lat/9808010].
36. J. van den Eshof, A. Frommer, T. Lippert, K. Schilling and H.A. van der Vorst, Numerical methods for the QCD overlap operator, I: Sign-function and error bounds, Comput. Phys. Commun. 146 (2002) 203 [hep-lat/0202025].
37. L. Giusti, C. Hoelbling, M. Lüscher and H. Wittig, Numerical techniques for lattice QCD in the ∈-regime, Comput. Phys. Commun. 153 (2003) 31 [hep-lat/0212012].
38. T. Kalkreuter and H. Simma, An accelerated conjugate gradient algorithm to compute low lying eigenvalues: a study for the Dirac operator in SU(2) lattice QCD, Comput. Phys. Commun. 93 (1996) 33 [hep-lat/9507023].
39. R. Narayanan and P. Vranas, A numerical test of the continuum index theorem on the lattice, Nucl. Phys. B 506 (1997) 373 [hep-lat/9702005].
40. P. de Forcrand, M. Garcia Perez, J.E. Hetrick and I.-O. Stamatescu, Topology of full QCD, Nucl. Phys. 63 (Proc. Suppl.) (1998) 549 [hep-lat/9710001].
41. W. Bietenholz, K. Jansen and S. Shcheredin, Spectral properties of the overlap Dirac operator in QCD, J. High Energy Phys. 07 (2003) 033 [hep-lat/0306022].
42. ALPHA collaboration, M. Guagnelli, R. Sommer and H. Wittig, Precision computation of a low-energy reference scale in quenched lattice QCD, Nucl. Phys. B 535 (1998) 389 [hep-lat/9806005].
43. H. Neuberger, Bounds on the Wilson Dirac operator, Phys. Rev. D 61 (2000) 085015 [hep-lat/9911004].
44. M. Lüscher, Lattice QCD on PCS?, Nucl. Phys. 106 (Proc. Suppl.) (2002) 21 [hep-lat/0110007].
45. L. Giusti, M. Lüscher, P. Weisz and H. Wittig, Lattice QCD in the e-regime and random matrix theory, J. High Energy Phys. 11 (2003) 023 [hep-lat/0309189].