×
Dudal, D.; Verschelde, H.; Lemes, V. E. R.; Sarandy, M. S.; Sorella, S. P.; Picariello, M.

Gluon-ghost condensate of mass dimension 2 in the Curci–Ferrari gauge. (English) Zbl 1037.81621

Ann. Phys. 308, No. 1, 62-77 (2003).
Summary: The effective potential for an on-shell BRST invariant gluon-ghost condensate of mass dimension two in the Curci-Ferrari gauge in SU\((N)\) Yang-Mills is analysed by combining the local composite operator technique with the algebraic renormalization. We pay attention to the gauge parameter independence of the vacuum energy obtained in the considered framework and discuss the Landau gauge as an interesting special case.

Cited in 11 Documents

MSC:

81V35 Nuclear physics
81T13 Yang-Mills and other gauge theories in quantum field theory

Keywords:

on-shell BRST invariant gluon-ghost condensate; SU\((N)\) Yang-Mills; algebraic renormalization
Cite Review PDF
Full Text: DOI arXiv

References:

[1] Gubarev, F. V.; Stodolsky, L.; Zakharov, V. I., Phys. Rev. Lett., 86, 2220 (2001)
[2] Gubarev, F. V.; Zakharov, V. I., Phys. Lett. B, 501, 28 (2001) · Zbl 0972.81595
[3] Boucaud, P., Phys. Rev. D, 66, 034504 (2002)
[4] Boucaud, P.; Le Yaouanc, A.; Leroy, J. P.; Micheli, J.; Pene, O.; Rodriguez-Quintero, J., Phys. Rev. D, 63, 114003 (2001)
[5] Burgio, G.; Di Renzo, F.; Marchesini, G.; Onofri, E., Phys. Lett. B, 422, 219 (1998)
[6] Langfeld, K.; Reinhardt, H.; Gattnar, J., Nucl. Phys. B, 621, 131 (2002) · Zbl 0988.81518
[7] Alexandrou, C.; de Forcrand, P.; Follana, E., Phys. Rev. D, 65, 114508 (2002)
[8] Fukuda, R.; Kugo, T., Prog. Theor. Phys., 60, 565 (1978) · Zbl 1098.81526
[9] Fukuda, R., Phys. Lett. B, 73, 33 (1978), Erratum-Phys. Lett. B 74 (1978) 433
[10] Gusynin, V. P.; Miransky, V. A., Phys. Lett. B, 76, 585 (1978)
[11] Kondo, K. I., Phys. Lett. B, 514, 335 (2001) · Zbl 0971.81077
[12] Kondo, K. I.; Murakami, T.; Shinohara, T.; Imai, T., Phys. Rev. D, 65, 085034 (2002)
[13] Verschelde, H.; Knecht, K.; Van Acoleyen, K.; Vanderkelen, M., Phys. Lett. B, 516, 307 (2001), Erratum-Phys. Lett. B, to appear · Zbl 0971.81573
[14] Dudal, D.; Verschelde, H.; Browne, R. E.; Gracey, J. A., Phys. Lett. B, 562, 87 (2003) · Zbl 1030.81011
[15] Delbourgo, R.; Jarvis, P. D., J. Phys. A, 15, 611 (1982)
[16] Baulieu, L.; Thierry-Mieg, J., Nucl. Phys. B, 197, 477 (1982)
[17] Gripaios, B. M., Phys. Lett. B, 558, 250 (2003) · Zbl 1011.81512
[18] Curci, G.; Ferrari, R., Nuovo Cim. A, 32, 151 (1976)
[19] Curci, G.; Ferrari, R., Phys. Lett. B, 63, 91 (1976)
[20] de Boer, J.; Skenderis, K.; van Nieuwenhuizen, P.; Waldron, A., Phys. Lett. B, 367, 175 (1996)
[21] Ojima, I., Z. Phys. C, 13, 173 (1982)
[22] Knecht, K.; Verschelde, H., Phys. Rev. D, 64, 085006 (2001)
[23] O. Piguet, S.P. Sorella, Algebraic Renormalization, Monograph Series, vol. m28, Springer, New York, 1995; O. Piguet, S.P. Sorella, Algebraic Renormalization, Monograph Series, vol. m28, Springer, New York, 1995 · Zbl 0845.58069
[24] Dudal, D.; Verschelde, H.; Lemes, V. E.; Sarandy, M. S.; Sorella, S. P.; Picariello, M., JHEP, 0212, 008 (2002)
[25] Delduc, F.; Sorella, S. P., Phys. Lett. B, 231, 408 (1989)
[26] Dudal, D.; Sorella, S. P.; Verschelde, H., Phys. Lett. B, 555, 126 (2003) · Zbl 1008.81059
[27] Gracey, J. A., Phys. Lett. B, 552, 101 (2003) · Zbl 1005.81520
[28] V.E. Lemes, M.S. Sarandy, S.P. Sorella, Ann. Phys. (to appear). Available from <hep-th/0210077>; V.E. Lemes, M.S. Sarandy, S.P. Sorella, Ann. Phys. (to appear). Available from <hep-th/0210077>
[29] A.G. Williams, Lattice QCD, gauge fixing, and the transition to the perturbative regime. Available from <hep-lat/0212038>; A.G. Williams, Lattice QCD, gauge fixing, and the transition to the perturbative regime. Available from <hep-lat/0212038>
[30] Williams, A. G., Nucl. Phys. Proc. Suppl., 109, 141 (2002) · Zbl 0997.81129
[31] Frishman, Y.; Roth, R., Nucl. Phys. B, 146, 20 (1978)
[32] Frishman, Y.; Roth, R., Nucl. Phys. B, 165, 185 (1980)
[33] Stodolsky, L.; van Baal, P.; Zakharov, V. I., Phys. Lett. B, 552, 214 (2003) · Zbl 1006.81048
[34] Kugo, T.; Ojima, I., Prog. Theor. Phys. Suppl., 66, 1 (1979)
[35] Shifman, M. A.; Vainshtein, A. I.; Zakharov, V. I., Nucl. Phys. B, 147, 385 (1979)
[36] Shifman, M. A.; Vainshtein, A. I.; Zakharov, V. I., Nucl. Phys. B, 147, 448 (1979)
[37] K.I. Kondo and T. Imai, A confining string theory derivable from Yang-Mills theory due to a novel vacuum condensate. Availabe from <hep-th/0206173>; K.I. Kondo and T. Imai, A confining string theory derivable from Yang-Mills theory due to a novel vacuum condensate. Availabe from <hep-th/0206173>
[38] Kondo, K. I., Phys. Rev. D, 57, 7467 (1998)
[39] D. Dudal, H. Verschelde, On ghost condensation, mass generation and Abelian dominance in the maximal Abelian gauge. Available from <hep-th/0209025>; D. Dudal, H. Verschelde, On ghost condensation, mass generation and Abelian dominance in the maximal Abelian gauge. Available from <hep-th/0209025> · Zbl 1035.81527
[40] Ellwanger, U.; Wschebor, N., Int. J. Mod. Phys. A, 18, 1595 (2003) · Zbl 1033.81055
[41] Kondo, K. I.; Shinohara, T., Phys. Lett. B, 491, 263 (2000)
[42] M. Schaden, Mass generation in continuum SU; M. Schaden, Mass generation in continuum SU
[43] T. Shinohara, T. Imai, K.I. Kondo, The most general and renormalizable maximal Abelian gauge. Available from <hep-th/0105268>; T. Shinohara, T. Imai, K.I. Kondo, The most general and renormalizable maximal Abelian gauge. Available from <hep-th/0105268> · Zbl 1080.81564
[44] Lemes, V. E.; Sarandy, M. S.; Sorella, S. P., J. Phys. A, 36, 7211 (2003) · Zbl 1070.81088
[45] Lemes, V. E.; Sarandy, M. S.; Sorella, S. P.; Picariello, M.; Fazio, A. R., Mod. Phys. Lett. A, 18, 711 (2003)
[46] D. Dudal, A.R. Fazio, V.E. Lemes, M. Picariello, M.S. Sarandy, S.P. Sorella, H. Verschelde, Vacuum condensates of dimension two in pure Euclidean Yang-Mills. Available from <hep-th/0304249>; D. Dudal, A.R. Fazio, V.E. Lemes, M. Picariello, M.S. Sarandy, S.P. Sorella, H. Verschelde, Vacuum condensates of dimension two in pure Euclidean Yang-Mills. Available from <hep-th/0304249> · Zbl 1059.81570
[47] D. Dudal, H. Verschelde, V.E. Lemes, M.S. Sarandy, S.P. Sorella, M. Picariello, A. Vicini, J.A. Gracey, More on ghost condensation in Yang-Mills theory: BCS versus Overhauser effect and the breakdown of the Nakanishi-Ojima annex \(SL R\); D. Dudal, H. Verschelde, V.E. Lemes, M.S. Sarandy, S.P. Sorella, M. Picariello, A. Vicini, J.A. Gracey, More on ghost condensation in Yang-Mills theory: BCS versus Overhauser effect and the breakdown of the Nakanishi-Ojima annex \(SL R\) · Zbl 1059.81570
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.