The Yang-Mills gradient flow in finite volume

Journal of High Energy Physics

Volumn 2012, Issue 11, 2012, Pages

  Fodor, Zoltan ^a,b,c   Holland, Kieran ^d,e   Kuti, Julius ^f   Nogradi, Daniel ^c   Wong, Chik Him ^f  

^a UNIVERSITY OF WUPPERTAL   (Germany)

^b FORSCHUNGSZENTRUM JÜLICH   (Germany)

^c EÖTVÖS LORÁND UNIVERSITY   (Hungary)

^d University of the Pacific   (United States)

^e UNIVERSITY OF BERN   (Switzerland)

^f UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Lattice Gauge Field Theories; Lattice Quantum Field Theory

Indexed keywords

EID: 84869055318     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP11(2012)007     Document Type: Article

References (29)

1. M. Lüscher, Trivializing maps, the Wilson flow and the HMC algorithm, Commun. Math. Phys. 293 (2010) 899 [arXiv:0907.5491] [INSPIRE].
2. R. Narayanan and H. Neuberger, Infinite N phase transitions in continuum Wilson loop operators, JHEP 03 (2006) 064 [hep-th/0601210] [INSPIRE].
3. M. Lüscher, Properties and uses of the Wilson flow in lattice QCD, JHEP 08 (2010) 071 [arXiv:1006.4518] [INSPIRE].
4. M. Lüscher, Topology, the Wilson flow and the HMC algorithm, PoS(LATTICE 2010)015 [arXiv:1009.5877] [INSPIRE].
5. M. Lüscher and P. Weisz, Perturbative analysis of the gradient flow in non-Abelian gauge theories, JHEP 02 (2011) 051 [arXiv:1101.0963] [INSPIRE].
6. R. Lohmayer and H. Neuberger, Continuous smearing of Wilson Loops, PoS(LATTICE 2011)249 [arXiv:1110.3522] [INSPIRE].
7. S. Borśanyi et al., High-precision scale setting in lattice QCD, JHEP 09 (2012) 010 [arXiv:1203.4469] [INSPIRE].
8. 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].
9. M. Lüscher, R. Narayanan, P. Weisz and U. Wolff, The Schrödinger functional: a renormalizable probe for non-Abelian gauge theories, Nucl. Phys. B 384 (1992) 168 [hep-lat/9207009] [INSPIRE].
10. M. Lüscher, Some analytic results concerning the mass spectrum of Yang-Mills gauge theories on a torus, Nucl. Phys. B 219 (1983) 233 [INSPIRE].
11. J. Koller and P. van Baal, A rigorous nonperturbative result for the glueball mass and electric flux energy in a finite volume, Nucl. Phys. B 273 (1986) 387 [INSPIRE].
12. J. Koller and P. van Baal, A nonperturbative analysis in finite volume gauge theory, Nucl. Phys. B 302 (1988) 1 [INSPIRE].
13. P. van Baal, The small volume expansion of gauge theories coupled to massless fermions, Nucl. Phys. B 307 (1988) 274 [INSPIRE].
14. Erratum ibid. B 312 (1989) 752
15. P. van Baal, Gauge theory in a finite volume, Acta Phys. Polon. B 20 (1989) 295 [INSPIRE].
16. C.P. Korthals Altes, Fluctuations of constant potentials in QCD and their contribution to finite size effects, lecture presented at Gift seminar, CPT-85/P-1806, Jaca Spain (1985) [INSPIRE].
17. A. Coste, A. Gonzalez-Arroyo, J. Jurkiewicz and C. Korthals Altes, Zero momentum contribution to Wilson loops in periodic boxes, Nucl. Phys. B 262 (1985) 67 [INSPIRE].
18. A. Coste, A. Gonzalez-Arroyo, C. Korthals Altes, B. Soderberg and A. Tarancon, Finite size effects and twisted boundary conditions, Nucl. Phys. B 287 (1987) 569 [INSPIRE].
19. C. Korthals Altes, Pure QCD in small volumes and the low lying glueball spectrum, Nucl. Phys. Proc. Suppl. 10A (1989) 284 [INSPIRE].
20. ALPHA collaboration, F. Tekin, R. Sommer and U. Wolff, The running coupling of QCD with four flavors, Nucl. Phys. B 840 (2010) 114 [arXiv:1006.0672] [INSPIRE].
21. P. Perez-Rubio and S. Sint, Non-perturbative running of the coupling from four flavour lattice QCD with staggered quarks, PoS(LATTICE 2010)236 [arXiv:1011.6580] [INSPIRE].
22. 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].
23. K. Symanzik, Continuum limit and improved action in lattice theories. 1. Principles and φ4 theory, Nucl. Phys. B 226 (1983) 187 [INSPIRE].
24. M. Lüscher and P. Weisz, On-shell improved lattice gauge theories, Commun. Math. Phys. 97 (1985) 59 [INSPIRE].
25. Erratum ibid. 98 (1985) 433
26. S. Duane, A. Kennedy, B. Pendleton and D. Roweth, Hybrid Monte Carlo, Phys. Lett. B 195 (1987) 216 [INSPIRE].
27. J. Sexton and D. Weingarten, Hamiltonian evolution for the hybrid Monte Carlo algorithm, Nucl. Phys. B 380 (1992) 665 [INSPIRE].
28. T. Takaishi and P. de Forcrand, Testing and tuning new symplectic integrators for hybrid Monte Carlo algorithm in lattice QCD, Phys. Rev. E 73 (2006) 036706 [hep-lat/0505020] [INSPIRE].
29. G.I. Egri et al., Lattice QCD as a video game, Comput. Phys. Commun. 177 (2007) 631 [hep-lat/0611022] [INSPIRE].