Chiral symmetry and the Yang-Mills gradient flow

Journal of High Energy Physics

Volumn 2013, Issue 4, 2013, Pages

  Lüscher, Martin ^a  

^a CERN   (Switzerland)

Author keywords

Lattice QCD; Renormalization Regularization and Renormalons

Indexed keywords

EID: 84928239479     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP04(2013)123     Document Type: Article

References (44)

1. M. Lüscher, Properties and uses of the Wilson flow in lattice QCD, JHEP 08 (2010) 071 [arXiv:1006.4518] [INSPIRE].
2. M. Lüscher and P. Weisz, Perturbative analysis of the gradient flow in non-Abelian gauge theories, JHEP 02 (2011) 051 [arXiv:1101.0963] [INSPIRE].
3. M. Lüscher, P. Weisz and U. Wolff, A numerical method to compute the running coupling in asymptotically free theories, Nucl. Phys. B 359 (1991) 221 [INSPIRE].
4. Z. Fodor, K. Holland, J. Kuti, D. Nogradi and C.H. Wong, The Yang-Mills gradient flow in finite volume, JHEP 11 (2012) 007 [arXiv:1208.1051] [INSPIRE].
5. Z. Fodor, K. Holland, J. Kuti, D. Nogradi and C.H. Wong, The gradient flow running coupling scheme, PoS(LATTICE 2012)050 [arXiv:1211.3247] [INSPIRE].
6. P. Fritzsch and A. Ramos, The gradient flow coupling in the Schrödinger functional, arXiv:1301.4388 [INSPIRE].
7. S. Güsken, A study of smearing techniques for hadron correlation functions, Nucl. Phys. Proc. Suppl. B 17 (1990) 361 [INSPIRE].
8. C. Alexandrou, F. Jegerlehner, S. Güsken, K. Schilling and R. Sommer, B meson properties from lattice QCD, Phys. Lett. B 256 (1991) 60 [INSPIRE].
9. J. Zinn-Justin, Renormalization and stochastic quantization, Nucl. Phys. B 275 (1986) 135 [INSPIRE].
10. J. Zinn-Justin and D. Zwanziger, Ward identities for the stochastic quantization of gauge fields, Nucl. Phys. B 295 (1988) 297 [INSPIRE].
11. K. Symanzik, Schrödinger representation and Casimir effect in renormalizable quantum field theory, Nucl. Phys. B 190 (1981) 1 [INSPIRE].
12. K.G. Wilson, Confinement of quarks, Phys. Rev. D 10 (1974) 2445 [INSPIRE].
13. P.H. Ginsparg and K.G. Wilson, A remnant of chiral symmetry on the lattice, Phys. Rev. D 25 (1982) 2649 [INSPIRE].
14. D.B. Kaplan, A method for simulating chiral fermions on the lattice, Phys. Lett. B 288 (1992) 342 [hep-lat/9206013] [INSPIRE].
15. D.B. Kaplan, Chiral fermions on the lattice, Nucl. Phys. Proc. Suppl. B 30 (1993) 597 [INSPIRE].
16. Y. Shamir, Chiral fermions from lattice boundaries, Nucl. Phys. B 406 (1993) 90 [hep-lat/9303005] [INSPIRE].
17. V. Furman and Y. Shamir, Axial symmetries in lattice QCD with Kaplan fermions, Nucl. Phys. B 439 (1995) 54 [hep-lat/9405004] [INSPIRE].
18. P. Hasenfratz, Prospects for perfect actions, Nucl. Phys. Proc. Suppl. B 63 (1998) 53 [hep-lat/9709110] [INSPIRE].
19. P. Hasenfratz, Lattice QCD without tuning, mixing and current renormalization, Nucl. Phys. B 525 (1998) 401 [hep-lat/9802007] [INSPIRE].
20. P. Hasenfratz, V. Laliena and F. Niedermayer, The index theorem in QCD with a finite cutoff, Phys. Lett. B 427 (1998) 125 [hep-lat/9801021] [INSPIRE].
21. H. Neuberger, Exactly massless quarks on the lattice, Phys. Lett. B 417 (1998) 141 [hep-lat/9707022] [INSPIRE].
22. H. Neuberger, More about exactly massless quarks on the lattice, Phys. Lett. B 427 (1998) 353 [hep-lat/9801031] [INSPIRE].
23. M. Lüscher, Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation, Phys. Lett. B 428 (1998) 342 [hep-lat/9802011] [INSPIRE].
24. F. Niedermayer, Exact chiral symmetry, topological charge and related topics, Nucl. Phys. Proc. Suppl. B 73 (1999) 105 [hep-lat/9810026] [INSPIRE].
25. J. Gasser and H. Leutwyler, Chiral perturbation theory to one loop, Annals Phys. 158 (1984) 142 [INSPIRE].
26. rd edition, Springer-Verlag, Berlin Germany (2008).
27. C. Morningstar and M.J. Peardon, Analytic smearing of SU(3) link variables in lattice QCD, Phys. Rev. D 69 (2004) 054501 [hep-lat/0311018] [INSPIRE].
28. K. Symanzik, Some topics in quantum field theory, in Mathematical problems in theoretical physics, R. Schrader et al. eds., Lect. Notes Phys. 153, Springer, New York U.S.A. (1982), pg. 47 [INSPIRE].
29. 4 theory, Nucl. Phys. B 226 (1983) 187 [INSPIRE].
30. M. Lüscher and P. Weisz, On-shell improved lattice gauge theories, Commun. Math. Phys. 97 (1985) 59 [Erratum 98 (1985) 433] [INSPIRE].
31. B. Sheikholeslami and R. Wohlert, Improved continuum limit lattice action for QCD with Wilson fermions, Nucl. Phys. B 259 (1985) 572 [INSPIRE].
32. M. Lüscher, S. Sint, R. Sommer and P. Weisz, Chiral symmetry and O(a) improvement in lattice QCD, Nucl. Phys. B 478 (1996) 365 [hep-lat/9605038] [INSPIRE].
33. T. Bhattacharya, R. Gupta, W. Lee, S.R. Sharpe and J.M. Wu, Improved bilinears in lattice QCD with non-degenerate quarks, Phys. Rev. D 73 (2006) 034504 [hep-lat/0511014] [INSPIRE].
34. UKQCD collaboration, C. Michael and J. Peisa, Maximal variance reduction for stochastic propagators with applications to the static quark spectrum, Phys. Rev. D 58 (1998) 034506 [hep-lat/9802015] [INSPIRE].
35. M. Lüscher and S. Schaefer, Lattice QCD with open boundary conditions and twisted-mass reweighting, Comput. Phys. Commun. 184 (2013) 519 [arXiv:1206.2809] [INSPIRE].
36. M. Lüscher and S. Schaefer, Lattice QCD without topology barriers, JHEP 07 (2011) 036 [arXiv:1105.4749] [INSPIRE].
37. PACS-CS collaboration, S. Aoki et al., 2 + 1 flavor lattice QCD toward the physical point, Phys. Rev. D 79 (2009) 034503 [arXiv:0807.1661] [INSPIRE].
38. PACS-CS collaboration, S. Aoki et al., Physical point simulation in 2 + 1 flavor lattice QCD, Phys. Rev. D 81 (2010) 074503 [arXiv:0911.2561] [INSPIRE].
39. Y. Iwasaki, Renormalization group analysis of lattice theories and improved lattice action. II. Four-dimensional non-Abelian SU(N) gauge model, preprint UTHEP-118, (1983) [arXiv:1111.7054] [INSPIRE].
40. CP-PACS and JLQCD collaborations, S. Aoki et al., Nonperturbative O(a) improvement of the Wilson quark action with the RG-improved gauge action using the Schrödinger functional method, Phys. Rev. D 73 (2006) 034501 [hep-lat/0508031] [INSPIRE].
41. CP-PACS/JLQCD and ALPHA collaborations, T. Kaneko et al., Non-perturbative improvement of the axial current with three dynamical flavors and the Iwasaki gauge action, JHEP 04 (2007) 092 [hep-lat/0703006] [INSPIRE].
42. f = 2 + 1 QCD with the Schrödinger functional scheme, JHEP 08 (2010) 101 [arXiv:1006.1164] [INSPIRE].
43. M. Lüscher, S. Sint, R. Sommer and H. Wittig, Nonperturbative determination of the axial current normalization constant in O(a) improved lattice QCD, Nucl. Phys. B 491 (1997) 344 [hep-lat/9611015] [INSPIRE].
44. M. Della Morte, R. Hoffmann, F. Knechtli, R. Sommer and U. Wolff, Non-perturbative renormalization of the axial current with dynamical Wilson fermions, JHEP 07 (2005) 007 [hep-lat/0505026] [INSPIRE].