More on ghost condensation in Yang-Mills theory: BCS versus Overhauser effect and the breakdown of the Nakanishi-Ojima annex SL(2, ℝ) symmetry

Journal of High Energy Physics

Volumn 7, Issue 6, 2003, Pages 49-83

  Dudal, David ^a   Verschelde, Henri ^a   Lemes, Vitor E R ^b   Sarandy, Marcelo S ^b   Sorella, Silvio P ^b   Picariello, Marco ^c   Vicini, Alessandro ^d   Gracey, John A ^e  

^a GHENT UNIVERSITY   (Belgium)

^b STATE UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^c UNIVERSITY OF MILAN   (Italy)

^d INFN SEZIONE DI MILANO   (Italy)

^e UNIVERSITY OF LIVERPOOL   (United Kingdom)

Author keywords

BRST Quantization; BRST Symmetry; Global Symmetries; Nonperturbative Effects

Indexed keywords

EID: 23144451874     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (67)

1. 2, Phys. Rev. Lett. 86 (2001) 2220 [hep-ph/0010057].
2. min2〉, Phys. Lett. B 501 (2001) 28 [hep-ph/0010096].
3. QCD in the MOM scheme, J. High Energy Phys. 04 (2000) 006 [hep-ph/0003020].
4. 2〉 condensate, Phys. Rev. D 63 (2001) 114003 [hep-ph/0101302].
5. 2〉 condensate, Phys. Rev. D 66 (2002) 034504 [hep-ph/0203119].
6. 2, Phys. Lett. B 516 (2001) 307 [hep-th/0105018].
7. M.A. Semenov-Tyan-Shanskii and V.A. Franke, A variational principle for the Lorentz condition and restriction of the domain of path integration in non-abelian gauge theories, Zapiski Nauchnykh Sem. Leningradskogo Otdeleniya Mat. Inst. im. V.A. Steklov AN SSSR 120 (1982) 159, translation Plenum, New York 1986.
8. D. Zwanziger, Quantization of gauge fields, classical gauge invariance and gluon confinement, Nucl. Phys. B 345 (1990) 461.
9. 2〉 in the finite volume hamiltonian formalism, Phys. Lett. B 552 (2003) 214 [hep-th/0210204].
10. D. Dudal et al., Vacuum condensates of dimension two in pure euclidean Yang-Mills, hep-th/0304249.
11. M. Schaden, Mass generation in continuum SU(2) gauge theory in covariant abelian gauges, hep-th/9909011.
12. M. Schaden, SU(2) gauge theory in covariant (maximal) abelian gauges, hep-th/0003030.
13. M. Schaden, Mass generation, ghost condensation and broken symmetry: SU(2) in covariant abelian gauges, hep-th/0108034.
14. K.-I. Kondo and T. Shinohara, Abelian dominance in low-energy gluodynamics due to dynamical mass generation, Phys. Lett. B 491 (2000) 263 [hep-th/0004158].
15. D.J. Gross and A. Neveu, Dynamical symmetry breaking in asymptotically free field theories, Phys. Rev. D 10 (1974) 3235.
16. D. Dudal and H. Verschelde, On ghost condensation, mass generation and abelian dominance in the maximal abelian gauge, hep-th/0209025.
17. H. Verschelde, S. Schelstraete and M. Vanderkelen, Non-perturbative calculation of the mass-gap in the Gross-Neveu model, Z. Physik C 76 (1997) 161.
18. C. Luperini and P. Rossi, Three loop beta function(s) and effective potential in the gross-neveu model, Ann. Phys. (NY) 212 (1991) 371.
19. V.E.R. Lemes, M.S. Sarandy and S.P. Sorella, Ghost number dynamical symmetry breaking and mass generation in Yang-Mills theories, hep-th/0206251.
20. J. Bardeen, L.N. Cooper and J.R. Schrieffer, Microscopic theory of superconductivity, Phys. Rev. 106 (1957) 162.
21. J. Bardeen, L.N. Cooper and J.R. Schrieffer, Theory of superconductivity, Phys. Rev. 108 (1957) 1175.
22. A.W. Overhauser, Charge-density waves and isotropic metals, Adv. Phys. 27 (1978) 343.
23. B.-Y. Park, M. Rho, A. Wirzba and I. Zahed, Dense QCD: overhauser or bcs pairing?, Phys. Rev. D 62 (2000) 034015 [hep-ph/9910347].
24. R. Delbourgo and P.D. Jarvis, Extended brs invariance and OSp(4/2) supersymmetry, J. Phys. A 15 (1982) 611.
25. L. Baulieu and J. Thierry-Mieg, The principle of BRS symmetry: an alternative approach to Yang-Mills theories, Nucl. Phys. B 197 (1982) 477.
26. G. Curci and R. Ferrari, On a class of lagrangian models for massive and massless Yang-Mills fields, Nuovo Cim. A32 (1976) 151.
27. G. Curci and R. Ferrari, Slavnov transformations and supersymmetry, Phys. Lett. B 63 (1976) 91.
28. V.E.R. Lemes, M.S. Sarandy, S.P. Sorella, M. Picariello and A.R. Fazio, Ghost condensates in Yang-Mills theories in nonlinear gauges, Mod. Phys. Lett. A 18 (2003) 711 [hep-th/0210036].
29. V.E.R. Lemes, M.S. Sarandy and S.P. Sorella, Ghost condensates in Yang-Mills theories in the Landau gauge, hep-th/0210077.
30. K. Knecht and H. Verschelde, A new start for local composite operators, Phys. Rev. D 64 (2001) 085006 [hep-th/0104007].
31. O. Piguet and S. P. Sorella, Algebraic renormalization: perturbative renormalization, symmetries and anomalies, Springer Verlag, Berlin 1995.
32. G. Barnich, F. Brandt and M. Henneaux, Local ERST cohomology in gauge theories, Phys. Rept. 338 (2000) 439 [hep-th/0002245].
33. N. Nakanishi and I. Ojima, Superalgebras of nonabelian gauge theories in the manifestly covariant canonical formalism, Zeit. Phys. C6 (1980) 155.
34. F. Delduc and S.P. Sorella, A note on some nonlinear covariant gauges in Yang-Mills theory, Phys. Lett. B 231 (1989) 408.
35. H. Sawayanagi, Additional symmetries in gauge theories with a quartic ghost interaction, Prog. Theor. Phys. 106 (2001) 971.
36. K. Nishijima, Representations of BRS algebra in the Landau gauge, Prog. Theor. Phys. 72 (1984) 1214.
37. K. Nishijima, Representations of BRS algebra realizable in the Landau gauge, Prog. Theor. Phys. 73 (1985) 536.
38. N. Nakanishi and I. Ojima, Covariant operator formalism of gauge theories and quantum gravity, World Scientific, Singapore 1990.
39. D. Dudal, V.E.R. Lemes, M.S. Sarandy, S.P. Sorella, M. Picariello and H. Verschelde, On the SL(2, Rdbl;) symmetry in Yang-Mills theories in the Landau, Curci-Ferrari and maximal abelian gauge, J. High Energy Phys. 12 (2002) 008 [hep-th/0211007].
40. D. Dudal, H. Verschelde, V. E. Lemes, M. S. Sarandy, S. P. Sorella and M. Picariello, Gluon-ghost condensate of mass dimension 2 in the Curci-Ferrari gauge, hep-th/0302168.
41. T. Kugo and I. Ojima, Local covariant operator formalism of nonabelian gauge theories and quark confinement problem, Prog. Theor. Phys. Suppl. 66 (1979) 1.
42. 2 in the Landau gauge, Phys. Lett. B 555 (2003) 126 [hep-th/0212182].
43. R. Alkofer and L. von Smekal, The infrared behavior of QCD Green's functions: confinement, dynamical symmetry breaking and hadrons as relativistic bound states, Phys. Rept. 353 (2001) 281 [hep-ph/0007355].
44. S.R. Coleman and E. Weinberg, Radiative corrections as the origin of spontaneous symmetry breaking, Phys. Rev. D 7 (1973) 1888.
45. R. Jackiw, Functional evaluation of the effective potential, Phys. Rev. D 9 (1974) 1686.
46. S.A. Larin and J.A.M. Vermaseren, The three loop QCD beta function and anomalous dimensions, Phys. Lett. B 303 (1993) 334 [hep-ph/9302208].
47. J.A. Gracey, Three loop ms-bar renormalization of the curci-ferrari model and the dimension two BRST invariant composite operator in QCD, Phys. Lett. B 552 (2003) 101 [hep-th/0211144].
48. 2〉 and the non-perturbative vacuum energy of Yang-Mills theory in the Landau gauge, Phys. Lett. B 562 (2003) 87 [hep-th/0302128].
49. K. Langfeld, H. Reinhardt and J. Gattnar, Gluon propagators and quark confinement, Nucl. Phys. B 621 (2002) 131 [hep-ph/0107141].
50. C. Alexandrou, P. de Forcrand and E. Follana, The gluon propagator without lattice gribov copies on a finer lattice, Phys. Rev. D 65 (2002) 114508 [hep-lat/0112043].
51. G. Grunberg, Renormalization group improved perturbative QCD, Phys. Lett. B 95 (1980) 70.
52. G. Grunberg, Renormalization scheme independent QCD and QED: the method of effective charges, Phys. Rev. D 29 (1984) 2315.
53. P.M. Stevenson, Optimized perturbation theory, Phys. Rev. D 23 (1981) 2916.
54. K. Van Acoleyen and H. Verschelde, Dynamical mass generation by source inversion: calculating the mass gap of the gross-neveu model, Phys. Rev. D 65 (2002) 085006 [hep-th/0111171].
55. H. Sawayanagi, Ghost condensation in nonlinear gauges: euclidean space, minkowski space and high temperature, Phys. Rev. D 67 (2003) 045002.
56. K.-I. Kondo, Vacuum condensate of mass dimension 2 as the origin of mass gap and quark confinement, Phys. Lett. B 514 (2001) 335 [hep-th/0105299].
57. K.I. Kondo, T. Murakami, T. Shinohara and T. Imai, Renormalizing a BRST-invariant composite operator of mass dimension 2 in Yang-Mills theory, Phys. Rev. D 65 (2002) 085034 [hep-th/0111256].
58. 3 and color confinement condition in non-abelian gauge theory, hep-th/9511033.
59. P. Watson and R. Alkofer, Verifying the Kugo-Ojima confinement criterion in Landau gauge QCD, Phys. Rev. Lett. 86 (2001) 5239 [hep-ph/0102332].
60. R. Alkofer, C.S. Fischer and L. von Smekal, Kugo-Ojima confinement and QCD Green's functions in covariant gauges, nucl-th/0301048.
61. C. Lerche and L. von Smekal, On the infrared exponent for gluon and ghost propagation in Landau gauge QCD, Phys. Rev. D 65 (2002) 125006 [hep-ph/0202194].
62. D. Zwanziger, Non-perturbative Landau gauge and infrared critical exponents in QCD, Phys. Rev. D 65 (2002) 094039 [hep-th/0109224].
63. K. Langfeld, Vortex induced confinement and the Kugo-Ojima confinement criterion, hep-lat/0204025.
64. K.-I. Kondo, Implications of analyticity to mass gap, color confinement and infrared fixed point in Yang-Mills theory, hep-th/0303251.
65. R. Alkofer, C.S. Fischer, H. Reinhardt and L. von Smekal, On the infrared behaviour of gluons and ghosts in ghost-antighost symmetric gauges, hep-th/0304134.
66. B.M. Gripaios, The 'BRST-invariant' condensate of dimension two in QCD, Phys. Lett. B 558 (2003) 250 [hep-th/0302015].
67. A.I. Davydychev and J.B. Tausk, Two loop self energy diagrams with different masses and the momentum expansion, Nucl. Phys. B 397 (1993) 123.