Precision study of the SU(3) topological susceptibility in the continuum

Journal of High Energy Physics

Volumn 2007, Issue 4, 2007, Pages

  Dürr, Stephan ^a   Fodor, Zoltan ^b,c,d   Hoelbling, Christian ^b   Kurth, Thorsten ^b  

^a UNIVERSITY OF BERN   (Switzerland)

^b UNIVERSITY OF WUPPERTAL   (Germany)

^c EÖTVÖS LORÁND UNIVERSITY   (Hungary)

^d UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

1 N expansion; Lattice gauge field theories

Indexed keywords

EID: 34247842934     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2007/04/055     Document Type: Article

References (52)

1. H. Leutwyler and A. Smilga, Spectrum of Dirac operator and role of winding number in QCD 1992 Phys. Rev. D 46 5607
2. S. Durr, Topological susceptibility in full QCD: lattice results versus the prediction from the QCD partition function with granularity 2001 Nucl. Phys. B 611 281 [hep-lat/0103011]
3. TXL collaboration, G.S. Bali et al., Quark mass effects on the topological susceptibility in QCD 2001 Phys. Rev. D 64 054502 [hep-lat/0102002]
4. CP-PACS collaboration, A. Ali Khan et al., Topological susceptibility in lattice QCD with two flavors of dynamical quarks 2001 Phys. Rev. D 64 114501 [hep-lat/0106010]
5. UKQCD collaboration, A. Hart and M. Teper, The topological susceptibility and F(π) from lattice QCD 2001 Phys. Lett. B 523 280 [hep-lat/0108006]
6. T.G. Kovacs, The topological susceptibility with dynamical overlap fermions [hep-lat/0111021]
7. C. Bernard et al., Topological susceptibility with the improved Asqtad action 2003 Phys. Rev. D 68 114501 [hep-lat/0308019]
8. T.A. DeGrand and S. Schaefer, Chiral properties of two-flavor QCD in small volume and at large lattice spacing 2005 Phys. Rev. D 72 054503 [hep-lat/0506021]
9. G.I. Egri, Z. Fodor, S.D. Katz and K.K. Szabo, Topology with dynamical overlap fermions 2006 J. High Energy Phys. JHEP01(2006)049 [hep-lat/0510117]
10. A. Hasenfratz and R. Hoffmann, Mixed action simulations on staggered background: interpretation and result for the 2-flavor QCD chiral condensate 2006 Phys. Rev. D 74 114509 [hep-lat/0609067]
11. E. Witten, Current algebra theorems for the U(1) 'Goldstone Boson', 1979 Nucl. Phys. B 156 269
12. G. Veneziano, U(1) without instantons, 1979 Nucl. Phys. B 159 213
13. P. Minkowski, The eta-prime meson disobeys the Zweig rule up to infinite color 1990 Phys. Lett. B 237 531
14. P. Minkowski, Note on the mass square of the η′ meson 1998 Phys. Lett. B 423 157 [hep-ph/9711431]
15. L. Girlanda, J. Stern and P. Talavera, η′ mass and chiral symmetry breaking at large-N(C) and N(f) 2001 Phys. Rev. Lett. 86 5858 [hep-ph/0103221]
16. R. Sommer, A new way to set the energy scale in lattice gauge theories and its applications to the static force and α-s in SU(2) Yang-Mills theory, 1994 Nucl. Phys. B 411 839 [hep-lat/9310022]
17. M.F. Atiyah and I.M. Singer, The index of elliptic operators. 1 1968 Ann. Math. 87 484.
18. M. Lüscher, Topology of lattice gauge fields 1982 Comm. Math. Phys. 85 39
19. A. Phillips and D. Stone, Lattice gauge fields, principal bundles and the calculation of topological charge 1986 Comm. Math. Phys. 103 599
20. MILC collaboration, T.A. DeGrand, A variant approach to the overlap action 2001 Phys. Rev. D 63 034503 [hep-lat/0007046]
21. W. Bietenholz, Optimised dirac operators on the lattice: construction, properties and applications [hep-lat/0611030]
22. H. Neuberger, Exactly massless quarks on the lattice 1998 Phys. Lett. B 417 141 [hep-lat/9707022]
23. P.H. Ginsparg and K.G. Wilson, A remnant of chiral symmetry on the lattice 1982 Phys. Rev. D 25 2649
24. P. Hasenfratz, V. Laliena and F. Niedermayer, The index theorem in QCD with a finite cut-off 1998 Phys. Lett. B 427 125 [hep-lat/9801021]
25. M. Lüscher, Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation 1998 Phys. Lett. B 428 342 [hep-lat/9802011]
26. M. Gockeler, A.S. Kronfeld, M.L. Laursen, G. Schierholz and U.J. Wiese, Can the topological susceptibility be calculated from SU(N) lattice gauge theories?, 1989 Phys. Lett. B 233 192
27. M. Campostrini, A. Di Giacomo, H. Panagopoulos and E. Vicari, Topological charge, renormalization and cooling on the lattice 1990 Nucl. Phys. B 329 683
28. A. Di Giacomo and E. Vicari, Renormalization and topological susceptibility on the lattice 1992 Phys. Lett. B 275 429
29. B. Alles, M. D'Elia, A. Di Giacomo and R. Kirchner, A critical comparison of different definitions of topological charge on the lattice 1998 Phys. Rev. D 58 114506 [hep-lat/9711026]
30. E. Seiler and I.O. Stamatescu, Some remarks on the Witten-Veneziano formula for the η′ mass MPI-PAE/PTH10/87.
31. S. Chandrasekharan, Lattice QCD with Ginsparg-Wilson fermions 1999 Phys. Rev. D 60 074503 [hep-lat/9805015]
32. F. Niedermayer, Exact chiral symmetry, topological charge and related topics 1999 Nucl. Phys. (Proc. Suppl.) 73 105 [hep-lat/9810026]
33. L. Giusti, G.C. Rossi and M. Testa, Topological susceptibility in full QCD with Ginsparg-Wilson fermions 2004 Phys. Lett. B 587 157 [hep-lat/0402027]
34. A. Hasenfratz and F. Knechtli, Flavor symmetry and the static potential with hypercubic blocking 2001 Phys. Rev. D 64 034504 [hep-lat/0103029]
35. S. Durr, Gauge action improvement and smearing 2005 Comput. Phys. Commun. 172 163 [hep-lat/0409141]
36. C. Christou, A. Di Giacomo, H. Panagopoulos and E. Vicari, Improved lattice operators: the case of the topological charge density 1996 Phys. Rev. D 53 2619 [hep-lat/9510023]
37. C.R. Gattringer, I. Hip and C.B. Lang, Topological charge and the spectrum of the fermion matrix in lattice QED(2) 1997 Nucl. Phys. B 508 329 [hep-lat/9707011]
38. N. Cundy, M. Teper and U. Wenger, Topology and chiral symmetry breaking in SU(N(c)) gauge theories, 2002 Phys. Rev. D 66 094505 [hep-lat/0203030]
39. L. Del Debbio and C. Pica, Topological susceptibility from the overlap 2004 J. High Energy Phys. JHEP02(2004)003 [hep-lat/0309145]
40. Online at http://www.physics.utah.edu/~detar/milc
41. S. Necco and R. Sommer, The N(f) ≤ 0 heavy quark potential from short to intermediate distances 2002 Nucl. Phys. B 622 328 [hep-lat/0108008]
42. L. Del Debbio, L. Giusti and C. Pica, Topological susceptibility in the SU(3) gauge theory, 2005 Phys. Rev. Lett. 94 032003 [hep-th/0407052]
43. L. Del Debbio, H. Panagopoulos and E. Vicari, Theta dependence of SU(N) gauge theories, 2002 J. High Energy Phys. JHEP08(2002)044 [hep-th/0204125]
44. A.A. Khan et al., Axial coupling constant of the nucleon for two flavours of dynamical quarks in finite and infinite volume 2006 Phys. Rev. D 74 094508 [hep-lat/0603028]
45. C. Aubin et al., Light hadrons with improved staggered quarks: approaching the continuum limit 2004 Phys. Rev. D 70 094505 [hep-lat/0402030]
46. ALPHA collaboration, J. Garden, J. Heitger, R. Sommer and H. Wittig, Precision computation of the strange quark's mass in quenched QCD 2000 Nucl. Phys. B 571 237 [hep-lat/9906013]
47. C. Gattringer, R. Hoffmann and S. Schaefer, The topological susceptibility of SU(3) gauge theory near T(c), 2002 Phys. Lett. B 535 358 [hep-lat/0203013]
48. P. Hasenfratz, S. Hauswirth, T. Jorg, F. Niedermayer and K. Holland, Testing the fixed-point QCD action and the construction of chiral currents 2002 Nucl. Phys. B 643 280 [hep-lat/0205010]
49. B. Lucini and M. Teper, SU(n) gauge theories in four dimensions: exploring the approach to N ≤, 2001 J. High Energy Phys. JHEP06(2001)050 [hep-lat/0103027]
50. L. Giusti, M. Lüscher, P. Weisz and H. Wittig, Lattice QCD in the epsilon-regime and random matrix theory 2003 J. High Energy Phys. JHEP11(2003)023 [hep-lat/0309189]
51. F. Niedermayer, P. Rufenacht and U. Wenger, Fixed point gauge actions with fat links: scaling and glueballs 2001 Nucl. Phys. B 597 413 [hep-lat/0007007]
52. L. Giusti, B. Taglienti and S. Petrarca, Large statistics study of QCD topological charge distribution \pos{PoS(LAT2006)058}