Scale-dependent mass anomalous dimension from Dirac eigenmodes

Journal of High Energy Physics

Volumn 2013, Issue 7, 2013, Pages

  Cheng, Anqi ^a   Hasenfratz, Anna ^a   Petropoulos, Gregory ^a   Schaich, David ^a  

^a UNIVERSITY OF COLORADO   (United States)

Author keywords

Lattice Gauge Field Theories; Nonperturbative Effects; Technicolor and Composite Models

Indexed keywords

EID: 84881245651     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP07(2013)061     Document Type: Article

References (69)

1. P. Damgaard, U.M. Heller, R. Niclasen and K. Rummukainen, Eigenvalue distributions of the QCD Dirac operator, Phys. Lett. B 495 (2000) 263 [ hep-lat/0007041 ].
2. HPQCD Collaboration, UKQCD collaboration, E. Follana, A. Hart, C. Davies and Q. Mason, The Low-lying Dirac spectrum of staggered quarks, Phys. Rev. D 72 (2005) 054501 [ hep-lat/0507011 ].
3. T. DeGrand and S. Schaefer, Parameters of the lowest order chiral Lagrangian from fermion eigenvalues, Phys. Rev. D 76 (2007) 094509 [ arXiv:0708.1731 ].
4. P. Damgaard, U. Heller and K. Splittorff, New Ways to Determine Low-Energy Constants with Wilson Fermions, Phys. Rev. D 86 (2012) 094502 [ arXiv:1206.4786 ].
5. L. Giusti and M. Lüscher, Chiral symmetry breaking and the Banks-Casher relation in lattice QCD with Wilson quarks, JHEP 03 (2009) 013 [ arXiv:0812.3638 ].
6. T. Banks and A. Casher, Chiral Symmetry Breaking in Confining Theories, Nucl. Phys. B 169 (1980) 103.
7. Z. Fodor, K. Holland, J. Kuti, D. Nogradi and C. Schroeder, Nearly conformal gauge theories in finite volume, Phys. Lett. B 681 (2009) 353 [ arXiv:0907.4562 ].
8. J.-W. Lee, M. Hanada and N. Yamada, Large Nc volume reduction and chiral random matrix theory, PoS (LATTICE 2012) 047 [ arXiv:1301.0029 ].
9. T. DeGrand, Finite-size scaling tests for SU(3) lattice gauge theory with color sextet fermions, Phys. Rev. D 80 (2009) 114507 [ arXiv:0910.3072 ].
10. P. de Forcrand, S. Kim and W. Unger, Conformality in many-flavour lattice QCD at strong coupling, JHEP 02 (2013) 051 [ arXiv:1208.2148 ].
11. A. Cheng, A. Hasenfratz and D. Schaich, Novel phase in SU(3) lattice gauge theory with 12 light fermions, Phys. Rev. D 85 (2012) 094509 [ arXiv:1111.2317 ].
12. L. Del Debbio and R. Zwicky, Hyperscaling relations in mass-deformed conformal gauge theories, Phys. Rev. D 82 (2010) 014502 [ arXiv:1005.2371 ].
13. S. Catterall, J. Giedt, F. Sannino and J. Schneible, Probes of nearly conformal behavior in lattice simulations of minimal walking technicolor, arXiv:0910.4387.
14. T. Karavirta, A. Mykkanen, J. Rantaharju, K. Rummukainen and K. Tuominen, Nonperturbative improvement of SU(2) lattice gauge theory with adjoint or fundamental flavors, JHEP 06 (2011) 061 [ arXiv:1101.0154 ].
15. T. DeGrand, Y. Shamir and B. Svetitsky, Infrared fixed point in SU(2) gauge theory with adjoint fermions, Phys. Rev. D 83 (2011) 074507 [ arXiv:1102.2843 ].
16. F. Bursa et al., Improved Lattice Spectroscopy of Minimal Walking Technicolor, Phys. Rev. D 84 (2011) 034506 [ arXiv:1104.4301 ].
17. J. Giedt and E. Weinberg, Backward running or absence of running from Creutz ratios, Phys. Rev. D 84 (2011) 074501 [ arXiv:1105.0607 ].
18. S. Catterall, L. Del Debbio, J. Giedt and L. Keegan, MCRG Minimal Walking Technicolor, Phys. Rev. D 85 (2012) 094501 [ arXiv:1108.3794 ].
19. J. Giedt and E. Weinberg, Finite size scaling in minimal walking technicolor, Phys. Rev. D 85 (2012) 097503 [ arXiv:1201.6262 ].
20. E.T. Neil, Exploring Models for New Physics on the Lattice, PoS (LATTICE 2011) 009 [ arXiv:1205.4706 ].
21. J. Giedt, Lattice gauge theory and physics beyond the standard model, PoS (LATTICE 2012) 006.
22. A. Patella, A precise determination of the psibar-psi anomalous dimension in conformal gauge theories, Phys. Rev. D 86 (2012) 025006 [ arXiv:1204.4432 ].
23. L. Keegan, Mass Anomalous Dimension at Large-N, PoS (LATTICE 2012) 044 [ arXiv:1210.7247 ].
24. H. Leutwyler and A.V. Smilga, Spectrum of Dirac operator and role of winding number in QCD, Phys. Rev. D 46 (1992) 5607.
25. A. Hasenfratz, A. Cheng, G. Petropoulos and D. Schaich, Mass anomalous dimension from Dirac eigenmode scaling in conformal and confining systems, PoS (LATTICE 2012) 034 [ arXiv:1207.7162 ].
26. T. DeGrand and A. Hasenfratz, Remarks on lattice gauge theories with infrared-attractive fixed points, Phys. Rev. D 80 (2009) 034506 [ arXiv:0906.1976 ].
27. 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 ].
28. M. Hasenbusch and K. Jansen, Speeding up lattice QCD simulations with clover improved Wilson fermions, Nucl. Phys. B 659 (2003) 299 [ hep-lat/0211042 ]. (Pubitemid 36515691)
29. C. Urbach, K. Jansen, A. Shindler and U. Wenger, HMC algorithm with multiple time scale integration and mass preconditioning, Comput. Phys. Commun. 174 (2006) 87 [ hep-lat/0506011 ]. (Pubitemid 41817557)
30. A. Hasenfratz and F. Knechtli, Flavor symmetry and the static potential with hypercubic blocking, Phys. Rev. D 64 (2001) 034504 [ hep-lat/0103029 ].
31. A. Hasenfratz, R. Hoffmann and S. Schaefer, Hypercubic smeared links for dynamical fermions, JHEP 05 (2007) 029 [ hep-lat/0702028 ].
32. 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 ].
33. T. Appelquist, G.T. Fleming and E.T. Neil, Lattice Study of Conformal Behavior in SU(3) Yang-Mills Theories, Phys. Rev. D 79 (2009) 076010 [ arXiv:0901.3766 ].
34. A. Deuzeman, M. Lombardo and E. Pallante, Evidence for a conformal phase in SU(N) gauge theories, Phys. Rev. D 82 (2010) 074503 [ arXiv:0904.4662 ].
35. X.-Y. Jin and R.D. Mawhinney, Lattice QCD with 8 and 12 degenerate quark flavors, PoS (LAT2009) 049 [ arXiv:0910.3216 ].
36. A. Hasenfratz, Conformal or Walking? Monte Carlo renormalization group studies of SU(3) gauge models with fundamental fermions, Phys. Rev. D 82 (2010) 014506 [ arXiv:1004.1004 ].
37. A. Deuzeman, E. Pallante and M.P. Lombardo, The Bulk transition of many-flavour QCD and the search for a UVFP at strong coupling, PoS (LATTICE 2010) 067 [ arXiv:1012.5971 ].
38. Z. Fodor et al., Twelve massless flavors and three colors below the conformal window, Phys. Lett. B 703 (2011) 348 [ arXiv:1104.3124 ].
39. A. Hasenfratz, Infrared fixed point of the 12-fermion SU(3) gauge model based on 2-lattice MCRG matching, Phys. Rev. Lett. 108 (2012) 061601 [ arXiv:1106.5293 ].
40. T. Appelquist, G. Fleming, M. Lin, E. Neil and D. Schaich, Lattice Simulations and Infrared Conformality, Phys. Rev. D 84 (2011) 054501 [ arXiv:1106.2148 ].
41. T. DeGrand, Finite-size scaling tests for spectra in SU(3) lattice gauge theory coupled to 12 fundamental flavor fermions, Phys. Rev. D 84 (2011) 116901 [ arXiv:1109.1237 ].
42. f = 12 gauge theory -about the existence of conformal fixed point-, PoS (LATTICE 2011) 081 [ arXiv:1111.1575 ].
43. A (1) symmetry, PoS (LATTICE 2011) 321 [ arXiv:1111.2590 ].
44. A. Hasenfratz, MCRG study of 12 fundamental flavors with mixed fundamental-adjoint gauge action, PoS (LATTICE 2011) 065 [ arXiv:1112.6146 ].
45. A. Deuzeman, M.P. Lombardo and E. Pallante, On the spectrum of QCD-like theories and the conformal window, PoS (LATTICE 2011) 083 [ arXiv:1201.1863 ].
46. X.-Y. Jin and R.D. Mawhinney, Lattice QCD with 12 Degenerate Quark Flavors, PoS (LATTICE 2011) 066 [ arXiv:1203.5855 ].
47. Z. Fodor et al., Twelve fundamental and two sextet fermion flavors, PoS (LATTICE 2011) 073 [ arXiv:1205.1878 ].
48. C.-J.D. Lin, K. Ogawa, H. Ohki and E. Shintani, Lattice study of infrared behaviour in SU(3) gauge theory with twelve massless flavours, JHEP 08 (2012) 096 [ arXiv:1205.6076 ].
49. Y. Aoki et al., Lattice study of conformality in twelve-flavor QCD, Phys. Rev. D 86 (2012) 054506 [ arXiv:1207.3060 ].
50. D. Schaich, A. Cheng, A. Hasenfratz and G. Petropoulos, Bulk and finite-temperature transitions in SU(3) gauge theories with many light fermions, PoS (LATTICE 2012) 028 [ arXiv:1207.7164 ].
51. A. Deuzeman, M.P. Lombardo, T. Nunes Da Silva and E. Pallante, The bulk transition of QCD with twelve flavors and the role of improvement, Phys. Lett. B 720 (2013) 358 [ arXiv:1209.5720 ].
52. Y. Meurice et al., Fisher zeros and conformality in lattice models, PoS (LATTICE 2012) 229 [ arXiv:1210.6969 ].
53. Z. Fodor et al., Confining force and running coupling with twelve fundamental and two sextet fermions, PoS (LATTICE 2012) 025 [ arXiv:1211.3548 ].
54. Z. Fodor et al., Conformal finite size scaling of twelve fermion flavors, PoS (LATTICE 2012) 279 [ arXiv:1211.4238 ].
55. G. Petropoulos, A. Cheng, A. Hasenfratz and D. Schaich, MCRG study of 8 and 12 fundamental flavors, PoS (LATTICE 2012) 051 [ arXiv:1212.0053 ].
56. E. Itou, Properties of the twisted Polyakov loop coupling and the infrared fixed point in the SU(3) gauge theory, arXiv:1212.1353.
57. M. Creutz, Confinement, chiral symmetry and the lattice, Acta Phys. Slov. 61 (2011) 1 [ arXiv:1103.3304 ].
58. T. DeGrand, Y. Shamir and B. Svetitsky, Mass anomalous dimension in sextet QCD, Phys. Rev. D 87 (2013) 074507 [ arXiv:1201.0935 ].
59. T.A. Ryttov and R. Shrock, Higher-Loop Corrections to the Infrared Evolution of a Gauge Theory with Fermions, Phys. Rev. D 83 (2011) 056011 [ arXiv:1011.4542 ].
60. C. Pica and F. Sannino, UV and IR Zeros of Gauge Theories at The Four Loop Order and Beyond, Phys. Rev. D 83 (2011) 035013 [ arXiv:1011.5917 ].
61. T. Appelquist, J. Terning and L. Wijewardhana, The zero temperature chiral phase transition in SU(N) gauge theories, Phys. Rev. Lett. 77 (1996) 1214 [ hep-ph/9602385 ].
62. D.D. Dietrich and F. Sannino, Conformal window of SU(N) gauge theories with fermions in higher dimensional representations, Phys. Rev. D 75 (2007) 085018 [ hep-ph/0611341 ].
63. T. Appelquist, A.G. Cohen and M. Schmaltz, A new constraint on strongly coupled gauge theories, Phys. Rev. D 60 (1999) 045003 [ hep-th/9901109 ].
64. A. Deuzeman, M.P. Lombardo and E. Pallante, The physics of eight flavours, Phys. Lett. B 670 (2008) 41 [ arXiv:0804.2905 ].
65. X.-Y. Jin and R.D. Mawhinney, Evidence for a First Order, Finite Temperature Phase Transition in 8 Flavor QCD, PoS (LATTICE 2010) 055 [ arXiv:1011.1511 ].
66. K. Miura, M.P. Lombardo and E. Pallante, Chiral phase transition at finite temperature and conformal dynamics in large Nf QCD, Phys. Lett. B 710 (2012) 676 [ arXiv:1110.3152 ].
67. LatKMI collaboration, Y. Aoki et al., Many flavor QCD as exploration of the walking behavior with the approximate IR fixed point, PoS (LATTICE 2011) 080 [ arXiv:1202.4712 ].
68. Y. Aoki et al., Exploring walking behavior in SU(3) gauge theory with 4 and 8 HISQ quarks, PoS (LATTICE 2012) 035 [ arXiv:1301.3367 ].
69. A. Stathopoulos and J.R. McCombs, PRIMME: PReconditioned Iterative MultiMethod Eigensolver: Methods and software description, ACM Trans. Math. Softw. 37 (2010) 21.