Reinterpretation of gluon condensate in dynamics of hadronic constituents

Acta Physica Polonica B

Volumn 42, Issue 9, 2011, Pages 1933-2011

  Głazek, Stanisław D ^a  

^a UNIVERSITY OF WARSAW   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTITUENT QUARK MODEL; GAUGE SYMMETRIES; HAMILTONIAN FORMULATIONS; HARMONIC OSCILLATOR POTENTIAL; IN-VACUUM; MEAN FIELD APPROXIMATION; MINKOWSKI SPACE; PERTURBATION THEORY; QUANTUM MECHANICAL; RENORMALIZATION GROUP; SYSTEMATIC ANALYSIS;

HIGH ENERGY PHYSICS; OSCILLATORS (ELECTRONIC); PERTURBATION TECHNIQUES; QUANTUM THEORY; STATISTICAL MECHANICS;

HADRONS;

EID: 80052572668     PISSN: 05874254     EISSN: None     Source Type: Journal    
DOI: 10.5506/APhysPolB.42.1933     Document Type: Article

References (114)

1. http://pdg.lbl.gov;
2. http://pdg.lbl.gov; K. Nakamura, et al. [Particle Data Group], J. Phys. G 37, 075021 (2010).
3. For a succinct account, see G. Zweig, CALT-68-805, July, 1980.
4. S. Weinberg, Rev. Mod. Phys. 46, 255 (1974).
5. M. Gell-Mann, Quarks, Color, and QCD in The Rise of the Standard Model, Eds. L. Hoddeson, et al., Cambridge University Press, 1999, pp. 625-633.
6. V.A. Matveev, A.N. Tavkhelidze, Fiz. Ehlem. Chastits At. Yadra 37, 575 (2006) report presented at the 99th Session of the JINR Scientific Council, Dubna, 19-20 January 2006.
7. R.P. Feynman, M. Kislinger, F. Ravndal, Phys. Rev. D3, 2706 (1971).
8. M.A. Shifman, A.I. Vainshtein, V.I. Zakharov, Nucl. Phys. B147, 448 (1979).
9. P.A.M. Dirac, Phys. Rev. B139, 684 (1965).
10. D.J. Gross, F. Wilczek, Phys. Rev. Lett. 30, 1343 (1973).
11. H.D. Politzer, Phys. Rev. Lett. 30, 1346 (1973).
12. R.P. Feynman, Phys. Rev. Lett. 23, 1415 (1969).
13. S. Dürr, et al., Science 322, 1224 (2008).
14. F. Wilczek, Nature 456, 449 (2008).
15. P.A.M. Dirac, Rev. Mod. Phys. 21, 392 (1949).
16. P.A.M. Dirac, Rev. Mod. Phys. 34, 592 (1962).
17. K.G. Wilson, et al., Phys. Rev. D49, 6720 (1994).
18. S.D. Głazek, M. Schaden, Phys. Lett. B198, 42 (1987).
19. S.D. Głazek, J. Młynik, Phys. Rev. D74, 105015 (2006).
20. S.J. Brodsky, R. Shrock, Proc. Nat. Acad. Sci. 108, 45 (2011) [arXiv:0905.1151v2 [hep-th]];
21. Proc. Nat. Acad. Sci. 108, 45 (2011) [arXiv:0803.2554v1 [hep-th]].
22. S.J. Brodsky, C.D. Roberts, R. Shrock, P.C. Tandy, Phys. Rev. C82, 022201 (2010).
23. N. Isgur, G. Karl, Phys. Rev. D20, 1191 (1979).
24. M.V.N. Murthy, et al., Phys. Rev. D30, 152 (1984).
25. K. Bräuer, et al., Z. Phys. A320, 609 (1985).
26. S.J. Brodsky, G.F. de Téramond, Phys. Rev. D77, 056007 (2008).
27. S.J. Brodsky, G.F. de Téramond, Phys. Rev. D78, 025032 (2008).
28. S.J. Brodsky, G.F. de Téramond, Phys. Rev. Lett. 102, 081601 (2009).
29. A. Karch, E. Katz, D.T. Son, M.A. Stephanov, Phys. Rev. D74, 015005 (2006).
30. S.D. Głazek, Acta Phys. Pol. B 29, 1979 (1998), cf. arXiv:hep-th/9706149v1, arXiv:hep-th/9706212v1, and Ref.
31. S.D. Głazek, Phys. Rev. D63, 116006 (2001).
32. H.J. Melosh, Phys. Rev. D9, 1095 (1974).
33. S.D. Głazek, Acta Phys. Pol. B 41, 1937 (2010);
34. Acta Phys. Pol. B 41, 2669 (2010).
35. http://pdg.lbl.gov/2010/reviews/rpp2010-rev-quark-masses.pdf, Eq. (2);
36. K. Nakamura, et al. [Particle Data Group], J. Phys. G 37, 075021 (2010).
37. L. Chang, et al., Chin. Phys. C33, 1189 (2009).
38. S.D. Głazek, J.M. Namysłowski, Acta Phys. Pol. B 19, 569 (1988).
39. A.D. Martin, W.J. Stirling, R.G. Roberts, Phys. Rev. D50, 6734 (1994).
40. A.D. Martin, W.J. Stirling, R.G. Roberts, Phys. Rev. D51, 4756 (1995).
41. M. Glück, E. Reya, A. Vogt, Z. Phys. C67, 433 (1995).
42. M. Glück, E. Reya, A. Vogt, Eur. Phys. J. C5, 461 (1998).
43. http://hepdata.cedar.ac.uk/pdf/pdf3.html, http://hepdata.cedar.ac.uk/ pdfs, http://durpdg.dur.ac.uk/HEPDATA/PDF
44. S.D. Głazek, T. Masłowski, Phys. Rev. D65, 065011 (2002).
45. http://pdg.lbl.gov/2010/reviews/rpp2010-rev-qcd.pdf, Fig. (9.2);
46. K. Nakamura,et al. [Particle Data Group], J. Phys. G 37, 075021 (2010).
47. S.D. Głazek, K.G. Wilson, Phys. Rev. D57, 3558 (1998).
48. S.J. Brodsky, G.F. de Teramond, A. Deur, arXiv:1007.5385v1 [hep-ph], Sec. 8.
49. S.D. Głazek, M. Wieckowski, Phys. Rev. D66, 016001 (2002).
50. G.P. Lepage, S.J. Brodsky, Phys. Rev. D22, 2157 (1980).
51. H.-C. Pauli, S.J. Brodsky, Phys. Rev. D32, 1993 (1985).
52. H.-C. Pauli, S.J. Brodsky, Phys. Rev. D32, 2001 (1985).
53. S.J. Brodsky, H.-C. Pauli, S.S. Pinsky, Phys. Rep. 301, 299 (1998).
54. S.D. Głazek, J. Młynik, Phys. Rev. D67, 045001 (2003) .
55. S.D. Głazek, J. Młynik, Acta Phys. Pol. B 35, 723 (2004).
56. J.D. Bjorken, J.B. Kogut, D.E. Soper, Phys. Rev. D3, 1382 (1971).
57. S.D. Głazek, Phys. Rev. D38, 3277 (1988).
58. A. Chodos, et al., Phys. Rev. D9, 3471 (1974).
59. V.N. Gribov, L.N. Lipatov, Sov. J. Nucl. Phys. 15, 438 (1972).
60. Yu.L. Dokshitzer, Sov. Phys. JETP 46, 641 (1977).
61. G. Altarelli, G. Parisi, Nucl. Phys. B126, 298 (1977).
62. E.A. Kuraev, L.N. Lipatov, V.S. Fadin, Sov. Phys. JETP 45, 199 (1977).
63. Ya.Ya. Balitsky, L.N. Lipatov, Sov. J. Nucl. Phys. 28, 22 (1978).
64. V.A. Khoze, A.D. Martin, M.G. Ryskin, Eur. Phys. J. C18, 167 (2000).
65. K.J. Golec-Biernat, M. Wusthoff, Phys. Rev. D59, 014017 (1998).
66. E. Witten, Adv. Theor. Math. Phys. 2, 253 (1998) [arXiv:hep-th/9802150v2] .
67. J. Polchinski, M.J. Strassler, Phys. Rev. Lett. 88, 031601 (2002) [arXiv:hep-th/0109174v1].
68. J. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998) [arXiv:hep-th/ 9711200v3].
69. S.S. Gubser, I.R. Klebanov, A.M. Polyakov, Phys. Lett. B428, 105 (1998) [arXiv:hep-th/9802109v2].
70. E.T. Akhmedov, Phys. Lett. B442, 152 (1998) [arXiv:hep-th/9806217v3].
71. E.T. Akhmedov, E.T. Musaev, Phys. Rev. D81, 085010 (2010).
72. J. de Boer, E.P. Verlinde, H.L. Verlinde, J. High Energy Phys. 0008, 003 (2000).
73. K. Skenderis, Class. Quantum Grav. 19, 5849 (2002).
74. I. Papadimitriou, K. Skenderis, Proc. of the Strasburg Meeting on AdS/CFT, Ed. O. Biquard, Zuerich, 2005, pp. 73-101 [arXiv:hep-th/0404176v2].
75. U. Gursoy, E. Kiritsis, F. Nitti, J. High Energy Phys. 0802, 019 (2008) [arXiv:0707.1349v3 [hep-th]].
76. S.J. Brodsky, G.F. de Teramond, A. Deur, Phys. Rev. D81, 096010 (2010).
77. S.J. Brodsky, G.F. de Teramond, private discussion.
78. S.D. Głazek, K.G. Wilson, Phys Rev. D48, 5863 (1993).
79. S.D. Głazek, K.G. Wilson, Phys Rev. D49, 4214 (1994).
80. K.G. Wilson, Phys. Rev. B140, 445 (1965).
81. K.G. Wilson, Phys. Rev. D2, 1438 (1970). ref, Eqs. (2.30) and (2.35).
82. S.D. Głazek, K.G. Wilson, Phys. Rev. B69, 094304 (2004).
83. S.D. Głazek, Phys. Rev. D75, 025005 (2007).
84. F.J. Wegner, Phys. Rev. B5, 4529 (1972).
85. K.P. Wójcik, Renormalization Group in Quantum Anharmonic Oscillator (in Polish), Bachelor Diploma Work (praca licencjacka), Faculty of Physics, University of Warsaw, July 2010.
86. F. Wegner, Ann. Phys. (Leipzig) 3, 77 (1994).
87. F. Wegner, J. Phys. A: Math. Gen. 39, 8221 (2006).
88. S.K. Kehrein, The Flow Equation Approach to Many-Particle Systems, Springer, 2006.
89. V. Bach, J.B. Bru, J. Evol. Equ. 10, 425 (2010).
90. S.-J. Chang, R.G. Root, T.-M. Yan, Phys. Rev. D7, 1133 (1973).
91. S.-J. Chang, T.-M. Yan, Phys. Rev. D7, 1147 (1973).
92. W.M. Zhang, A. Harindranath, Phys. Rev. D48, 4881 (1993).
93. J.D. Bjorken, Elements of Quantum Chromodynamics, SLAC-PUB-2372, December 1979, presented at the Summer Institute on Particle Physics at SLAC, July 9-20, 1979; SLAC Release Date: July 6, 1999.
94. M.T. Chu, K.R. Driessel, SIAM J. Numer. Anal. 27, 1050 (1990).
95. R.W. Brockett, Linear Algebra Appl. 146, 79 (1991).
96. M.T.-C. Chu, in Hamiltonian and Gradient Flows, Algorithms and Control, Ed. A. Bloch, University of Michigan, Ann Arbor, MI 1994.
97. E.L. Gubankova, F. Wegner, Phys. Rev. D58, 025012 (1998) [arXiv:hep-th/9710233v3], cf. arXiv:hep-th/9702162v2, arXiv:hep-th/9708054v1.
98. E.L. Gubankova, H.-C. Pauli, F.J. Wegner, MPI-H-V33-1998, arXiv:hep-th/9809143v2.
99. E. Gubankova, C.-R. Ji, S.R. Cotanch, Phys. Rev. D62, 074001 (2000).
100. E. Gubankova, C.-R. Ji, S.R. Cotanch, Phys. Rev. D62, 125012 (2000).
101. B.H. Allen, R.J. Perry, Phys. Rev. D58, 125017 (1998).
102. R.D. Kylin, B.H. Allen, R.J. Perry, Phys. Rev. D60, 067704 (1999).
103. S. Weinberg, The Quantum Theory of Fields, Vol. I Cambridge University Press, 1996, Chap. 4.
104. S.D. Głazek, Phys. Rev. D60, 105030 (1999).
105. S. Szpigel, R.J. Perry, in Quantum Field Theory, A 20th Century Profile, Ed. A.N. Mitra, New Delhi 2000, p. 59 [arXiv:hep-ph/0009071v1].
106. S.K. Bogner, R.J. Furnstahl, R.J. Perry, Phys. Rev. C75, 061001 (R).
107. S.K. Bogner, R.J. Furnstahl, R.J. Perry, A. Schwenk, Phys. Lett. B649, 488 (2007).
108. E.D. Jurgenson, P. Navratil, R.J. Furnstahl, Phys. Rev. C83, 034301 (2011).
109. K.A. Wendt, R.J. Furnstahl, R.J. Perry, Phys. Rev. C83, 034005 (2011).
110. W. Li, E.R. Anderson, R.J. Furnstahl, arXiv:1106.2835 [nucl-th].
111. S.D. Głazek, R.J. Perry, Phys. Rev. D78, 045011 (2008).
112. K.G. Wilson, Phys. Rev. Lett. 27, 690 (1971).
113. J. Kogut, L. Susskind, Phys. Rev. D9, 697 (1974).
114. M.E. Peskin, D.V. Schroeder, An Introduction to Quantum Field Theory, Westview, 1995.