Indirect lattice evidence for the refined Gribov-Zwanziger formalism and the gluon condensate □a2□ in the Landau gauge

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 81, Issue 7, 2010, Pages

  Dudal, D ^a   Oliveira, O ^b   Vandersickel, N ^a  

^a GHENT UNIVERSITY   (Belgium)

^b UNIVERSITY OF COIMBRA   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77952363561     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.81.074505     Document Type: Article

References (90)

1. D.B. Leinweber, J.I. Skullerud, A.G. Williams, and C. Parrinello, Phys. Rev. D PRVDAQ 0556-2821 58, 031501 (1998). 10.1103/PhysRevD.58.031501
2. F.D.R. Bonnet, P.O. Bowman, D.B. Leinweber, A.G. Williams, and J.M. Zanotti, Phys. Rev. D PRVDAQ 0556-2821 64, 034501 (2001). 10.1103/PhysRevD.64. 034501 (Pubitemid 33795664)
3. S. Furui and H. Nakajima, Phys. Rev. D PRVDAQ 1550-7998 70, 094504 (2004). 10.1103/PhysRevD.70.094504 (Pubitemid 40137239)
4. P.J. Silva and O. Oliveira, Nucl. Phys. NUPBBO 0550-3213 B690, 177 (2004). 10.1016/j.nuclphysb.2004.04.020 (Pubitemid 38750346)
5. A. Cucchieri, T. Mendes, O. Oliveira, and P.J. Silva, Phys. Rev. D PRVDAQ 1550-7998 76, 114507 (2007). 10.1103/PhysRevD.76.114507
6. O. Oliveira and P.J. Silva, Phys. Rev. D PRVDAQ 1550-7998 79, 031501 (2009). 10.1103/PhysRevD.79.031501
7. O. Oliveira and P.J. Silva, Proc. Sci., QCD-TNT09 (2009) 033. 1824-8039
8. V.G. Bornyakov, V.K. Mitrjushkin, and M. Muller-Preussker, Phys. Rev. D PRVDAQ 1550-7998 81, 054503 (2010). 10.1103/PhysRevD.81.054503
9. A. Cucchieri and T. Mendes, Proc. Sci., LAT2007 (2007) 297. 1824-8039
10. A. Cucchieri and T. Mendes, Phys. Rev. Lett. 100, 241601 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.241601
11. A. Cucchieri and T. Mendes, Phys. Rev. D PRVDAQ 1550-7998 81, 016005 (2010). 10.1103/PhysRevD.81.016005
12. A. Maas, Phys. Rev. D PRVDAQ 1550-7998 79, 014505 (2009). 10.1103/PhysRevD.79.014505
13. A. Maas, J.M. Pawlowski, D. Spielmann, A. Sternbeck, and L. von Smekal, arXiv:0912.4203.
14. I.L. Bogolubsky, E.M. Ilgenfritz, M. Muller-Preussker, and A. Sternbeck, Proc. Sci., LAT2007 (2007) 290. 1824-8039
15. I.L. Bogolubsky, E.M. Ilgenfritz, M. Muller-Preussker, and A. Sternbeck, Phys. Lett. B 676, 69 (2009). PYLBAJ 0370-2693 10.1016/j.physletb.2009.04.076
16. V.N. Gribov, Nucl. Phys. NUPBBO 0550-3213 B139, 1 (1978). 10.1016/0550-3213(78)90175-X
17. D. Zwanziger, Nucl. Phys. NUPBBO 0550-3213 B323, 513 (1989). 10.1016/0550-3213(89)90122-3
18. D. Zwanziger, Nucl. Phys. NUPBBO 0550-3213 B399, 477 (1993). 10.1016/0550-3213(93)90506-K
19. D. Zwanziger, Phys. Rev. D PRVDAQ 0556-2821 65, 094039 (2002). 10.1103/PhysRevD.65.094039
20. D. Zwanziger, Phys. Rev. D PRVDAQ 0556-2821 69, 016002 (2004). 10.1103/PhysRevD.69.016002 (Pubitemid 44653954)
21. J.A. Gracey, J. High Energy Phys. JHEPFG 1029-8479 05 (2006) 052. 10.1088/1126-6708/2006/05/052
22. D. Dudal, R.F. Sobreiro, S.P. Sorella, and H. Verschelde, Phys. Rev. D PRVDAQ 1550-7998 72, 014016 (2005). 10.1103/PhysRevD.72.014016
23. D. Dudal, S.P. Sorella, N. Vandersickel, and H. Verschelde, Phys. Rev. D PRVDAQ 1550-7998 77, 071501 (2008). 10.1103/PhysRevD.77.071501
24. D. Dudal, J.A. Gracey, S.P. Sorella, N. Vandersickel, and H. Verschelde, Phys. Rev. D PRVDAQ 1550-7998 78, 065047 (2008). 10.1103/PhysRevD.78.065047
25. S.P. Sorella, Phys. Rev. D PRVDAQ 1550-7998 80, 025013 (2009). 10.1103/PhysRevD.80.025013
26. R. Alkofer and L. von Smekal, Phys. Rep. 353, 281 (2001). PRPLCM 0370-1573 10.1016/S0370-1573(01)00010-2
27. R. Alkofer, W. Detmold, C.S. Fischer, and P. Maris, Phys. Rev. D PRVDAQ 1550-7998 70, 014014 (2004). 10.1103/PhysRevD.70.014014
28. C. Lerche and L. von Smekal, Phys. Rev. D PRVDAQ 0556-2821 65, 125006 (2002). 10.1103/PhysRevD.65.125006 (Pubitemid 44641989)
29. J.M. Pawlowski, D.F. Litim, S. Nedelko, and L. von Smekal, Phys. Rev. Lett. 93, 152002 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.152002
30. M.Q. Huber, R. Alkofer, and S.P. Sorella, Phys. Rev. D PRVDAQ 1550-7998 81, 065003 (2010). 10.1103/PhysRevD.81.065003
31. K.I. Kondo, Phys. Lett. B 551, 324 (2003). PYLBAJ 0370-2693 10.1016/S0370-2693(02)03074-5
32. A.C. Aguilar and A.A. Natale, J. High Energy Phys. JHEPFG 1029-8479 08 (2004) 057. 10.1088/1126-6708/2004/08/057
33. A.C. Aguilar, D. Binosi, and J. Papavassiliou, Phys. Rev. D PRVDAQ 1550-7998 78, 025010 (2008). 10.1103/PhysRevD.78.025010
34. D. Binosi and J. Papavassiliou, Phys. Rep. 479, 1 (2009). PRPLCM 0370-1573 10.1016/j.physrep.2009.05.001
35. C.S. Fischer, A. Maas, and J.M. Pawlowski, Ann. Phys. (N.Y.) APNYA6 0003-4916 324, 2408 (2009). 10.1016/j.aop.2009.07.009
36. W. Schleifenbaum, M. Leder, and H. Reinhardt, Phys. Rev. D PRVDAQ 1550-7998 73, 125019 (2006). 10.1103/PhysRevD.73.125019
37. O. Pene, Ph. Boucaud, J.P. Leroy, A.L. Yaouanc, J. Micheli, and J. Rodriguez-Quintero, Proc. Sci., QCD-TNT09 (2009) 035. 1824-8039
38. I.M. Singer, Commun. Math. Phys. 60, 7 (1978). CMPHAY 0010-3616 10.1007/BF01609471
39. M. Semenov-Tyan-Shanskii and V.A. Franke, in Proccedings of the Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im;
40. V.A. Steklov, AN SSSR 120, 159 (1982)
41. [English translation: (Plenum Press, New York, 1986)].
42. P. van Baal, Nucl. Phys. NUPBBO 0550-3213 B369, 259 (1992). 10.1016/0550-3213(92)90386-P
43. G. Dell'Antonio and D. Zwanziger, Commun. Math. Phys. 138, 291 (1991). CMPHAY 0010-3616 10.1007/BF02099494
44. G. Dell'Antonio and D. Zwanziger, Nucl. Phys. NUPBBO 0550-3213 B326, 333 (1989). 10.1016/0550-3213(89)90135-1
45. N. Maggiore and M. Schaden, Phys. Rev. D PRVDAQ 0556-2821 50, 6616 (1994). 10.1103/PhysRevD.50.6616
46. D. Dudal, S.P. Sorella, and N. Vandersickel, arXiv:1001.3103.
47. M.A. Shifman, A.I. Vainshtein, and V.I. Zakharov, Nucl. Phys. NUPBBO 0550-3213 B147, 385 (1979). 10.1016/0550-3213(79)90022-1
48. J. Greensite and M.B. Halpern, Nucl. Phys. NUPBBO 0550-3213 B271, 379 (1986).
49. M.J. Lavelle and M. Schaden, Phys. Lett. B 208, 297 (1988). PYLBAJ 0370-2693 10.1016/0370-2693(88)90433-9
50. F.V. Gubarev, L. Stodolsky, and V.I. Zakharov, Phys. Rev. Lett. 86, 2220 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.86.2220 (Pubitemid 32277966)
51. F.V. Gubarev and V.I. Zakharov, Phys. Lett. B 501, 28 (2001). PYLBAJ 0370-2693 10.1016/S0370-2693(01)00085-5 (Pubitemid 32199241)
52. S. Narison, Nucl. Phys. B, Proc. Suppl. NPBSE7 0920-5632 164, 225 (2007). 10.1016/j.nuclphysbps.2006.11.070
53. G. Grunberg, arXiv:hep-ph/9705290.
54. R. Akhoury and V.I. Zakharov, arXiv:hep-ph/9705318.
55. R. Akhoury and V.I. Zakharov, Phys. Lett. B 438, 165 (1998). PYLBAJ 0370-2693 10.1016/S0370-2693(98)00932-0
56. F.V. Gubarev, M.I. Polikarpov, and V.I. Zakharov, arXiv:hep-th/9812030.
57. K.G. Chetyrkin, S. Narison, and V.I. Zakharov, Nucl. Phys. NUPBBO 0550-3213 B550, 353 (1999). 10.1016/S0550-3213(99)00167-4
58. V.I. Zakharov, Int. J. Mod. Phys. A 14, 4865 (1999). IMPAEF 0217-751X 10.1142/S0217751X9900230X
59. G. Burgio, F. Di Renzo, G. Marchesini, and E. Onofri, Phys. Lett. B 422, 219 (1998). PYLBAJ 0370-2693 10.1016/S0370-2693(98)00057-4
60. G.S. Bali, Phys. Lett. B 460, 170 (1999). PYLBAJ 0370-2693 10.1016/S0370-2693(99)00757-1
61. M.N. Chernodub, F.V. Gubarev, M.I. Polikarpov, and V.I. Zakharov, Phys. Lett. B 475, 303 (2000). PYLBAJ 0370-2693 10.1016/S0370-2693(00)00093-9
62. P. Boucaud, G. Burgio, F. Di Renzo, J.P. Leroy, J. Micheli, C. Parrinello, O. Pène, C. Pittori, J. RodríguezQuintero, C. Roiesnel, and K. Sharkey, J. High Energy Phys. JHEPFG 1029-8479 04 (2000) 006. 10.1088/1126-6708/2000/04/006
63. M. Lavelle and D. McMullan, Phys. Rep. 279, 1 (1997). PRPLCM 0370-1573 10.1016/S0370-1573(96)00019-1
64. Ph. Boucaud, A. Le Yaouanc, J.P. Leroy, J. Micheli, O. Pene, and J. Rodriguez-Quintero, Phys. Rev. D PRVDAQ 0556-2821 63, 114003 (2001). 10.1103/PhysRevD.63.114003 (Pubitemid 33794294)
65. P. Boucaud, J.P. Leroy, A. Le Yaouanc, J. Micheli, O. Pene, F. De Soto, A. Donini, H. Moutarde, and J. Rodriguez-Quintero, Phys. Rev. D PRVDAQ 0556-2821 66, 034504 (2002). 10.1103/PhysRevD.66.034504 (Pubitemid 44962573)
66. Ph. Boucaud, F. De Soto, J.P. Leroy, A. Le Yaouanc, J. Micheli, O. Pene, and J. Rodriguez-Quintero, Phys. Rev. D PRVDAQ 1550-7998 79, 014508 (2009). 10.1103/PhysRevD.79.014508
67. H. Verschelde, K. Knecht, K. Van Acoleyen, and M. Vanderkelen, Phys. Lett. B 516, 307 (2001). PYLBAJ 0370-2693 10.1016/S0370-2693(01)00929-7
68. D. Dudal, H. Verschelde, and S.P. Sorella, Phys. Lett. B 555, 126 (2003). PYLBAJ 0370-2693 10.1016/S0370-2693(03)00043-1
69. D. Dudal, H. Verschelde, R.E. Browne, and J.A. Gracey, Phys. Lett. B 562, 87 (2003). PYLBAJ 0370-2693 10.1016/S0370-2693(03)00541-0
70. R.E. Browne and J.A. Gracey, J. High Energy Phys. JHEPFG 1029-8479 11 (2003) 029. 10.1088/1126-6708/2003/11/029
71. D. Vercauteren and H. Verschelde, Phys. Lett. B 660, 432 (2008). PYLBAJ 0370-2693 10.1016/j.physletb.2008.01.013
72. M.N. Chernodub and E.M. Ilgenfritz, Phys. Rev. D PRVDAQ 1550-7998 78, 034036 (2008). 10.1103/PhysRevD.78.034036
73. D. Dudal, J.A. Gracey, N. Vandersickel, D. Vercauteren, and H. Verschelde, Phys. Rev. D PRVDAQ 1550-7998 80, 065017 (2009). 10.1103/PhysRevD.80.065017
74. K.I. Kondo, Phys. Lett. B 514, 335 (2001). PYLBAJ 0370-2693 10.1016/S0370-2693(01)00817-6 (Pubitemid 32725983)
75. X.Md. Li and C.M. Shakin, Phys. Rev. D PRVDAQ 1550-7998 71, 074007 (2005). 10.1103/PhysRevD.71.074007
76. F.V. Gubarev and S.M. Morozov, Phys. Rev. D PRVDAQ 1550-7998 71, 114514 (2005). 10.1103/PhysRevD.71.114514
77. D. Kekez and D. Klabucar, Phys. Rev. D PRVDAQ 1550-7998 73, 036002 (2006). 10.1103/PhysRevD.73.036002
78. O. Andreev, Phys. Rev. D PRVDAQ 1550-7998 73, 107901 (2006). 10.1103/PhysRevD.73.107901
79. E. Ruiz Arriola, P.O. Bowman, and W. Broniowski, Phys. Rev. D PRVDAQ 1550-7998 70, 097505 (2004). 10.1103/PhysRevD.70.097505 (Pubitemid 40137270)
80. E. Ruiz Arriola and W. Broniowski, Phys. Rev. D PRVDAQ 1550-7998 73, 097502 (2006). 10.1103/PhysRevD.73.097502
81. E. Megias, E. Ruiz Arriola, and L.L. Salcedo, Phys. Rev. D PRVDAQ 1550-7998 80, 056005 (2009). 10.1103/PhysRevD.80.056005
82. D. Dudal, S.P. Sorella, N. Vandersickel, and H. Verschelde (work in progress).
83. Y. Chen, A. Alexandru, S.J. Dong, T. Draper, I. Horvath, F.X. Lee, K.F. Liu, N. Mathur, C. Morningstar, M. Peardon, S. Tamhankar, B.L. Young, and J.B. Zhang, Phys. Rev. D PRVDAQ 1550-7998 73, 014516 (2006). 10.1103/PhysRevD.73. 014516
84. V. Mathieu, N. Kochelev, and V. Vento, Int. J. Mod. Phys. E 18, 1 (2009). IMPEER 0218-3013 10.1142/S0218301309012124
85. G.S. Bali and K. Schilling, Phys. Rev. D PRVDAQ 1550-7998 47, 661 (1993). 10.1103/PhysRevD.47.661
86. This work was in part based on the MILC Collaboration's public lattice gauge theory code, http://physics.indiana.edu/~g/milc.html.
87. J.A. Gracey, Phys. Lett. B 552, 101 (2003). PYLBAJ 0370-2693 10.1016/S0370-2693(02)03077-0
88. K.G. Chetyrkin, Nucl. Phys. NUPBBO 0550-3213 B710, 499 (2005). 10.1016/j.nuclphysb.2005.01.011 (Pubitemid 40280324)
89. O. Oliveira and P. Bicudo, arXiv:1002.4151.
90. G. Burgio, M. Quandt, and H. Reinhardt, arXiv:0911.5101.