Time-independent stochastic quantization, Dyson-Schwinger equations, and infrared critical exponents in QCD

Physical Review D

Volumn 68, Issue 10, 2003, Pages

  Zwanziger, Daniel ^a  

^a POLYTECHNIC UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; ELEMENTARY PARTICLE; INFRARED RADIATION; MATHEMATICAL ANALYSIS; PARAMETER; PROBABILITY; QUANTITATIVE ANALYSIS; QUANTUM CHROMODYNAMICS; QUANTUM MECHANICS; STOCHASTIC MODEL; THEORY; TIME;

EID: 0037660994     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.68.105001     Document Type: Article

References (64)

1. C. N. Yang and R. L. Mills, Phys. Rev. 96, 191 (1954).
2. L. von Smekal, A. Hauck, and R. Alkofer, Ann. Phys. (N.Y.) 267, 1 (1998);
3. Phys. Rev. Lett. 79, 3591 (1997);
4. L. von Smekal, "Perspectives for Hadronic Physics from Dyson-Schwinger Equations for the Dynamics of Quark and Glue," Habilitationsschrift, Friedrich-Alexander Universität, Erlangen- Nürnberg, 1998.
5. D. Atkinson and J. C. R. Bloch, Phys. Rev. D 58, 094036 (1998).
6. D. Atkinson and J. C. R. Bloch, Mod. Phys. Lett. A 13, 1055 (1998).
7. C. Lerche and L. von Smekal, Phys. Rev. D 65, 125006 (2002).
8. D. Zwanziger, Phys. Rev. D 65, 094039 (2002).
9. C. S. Fischer, R. Alkofer, and H. Reinhardt, Phys. Rev. D 65, 094008 (2002).
10. C. S. Fischer and R. Alkofer, Phys. Lett. B 536, 177 (2002).
11. M. Stingl, Phys. Rev. D 34, 3863 (1986).
12. R. Alkofer and L. von Smekal, Phys. Rep. 353, 281 (2001).
13. A. Cucchieri, Phys. Rev. D 60, 034508 (1999).
14. A. Cucchieri, F. Karsch, and P. Petreczky, Phys. Lett. B 497, 80 (2001).
15. A. Cucchieri, F. Karsch, and P. Petreczky, Phys. Rev. D 64, 036001 (2001).
16. D. B. Leinweber, J. I. Skullerud, A. G. Williams, and C. Parrinello, Phys. Rev. D 58, 031501 (1998);
17. D. B. Leinweber, J. I. Skullerud, A. G. Williams, and C. Parrinello, Phys. Rev. D 60, 094507 (1999).
18. F. Bonnet, P. O. Bowman, D. B. Leinweber, and A. G. Williams, Phys. Rev. D 62, 051501(R) (2000).
19. F. Bonnet, P. O. Bowman, D. B. Leinweber, A. G. Williams, and J. M. Zanotti, Phys. Rev. D 64, 034501 (2001).
20. K. Langfeld, H. Reingardt, and J. Gattnar, Nucl. Phys. B621, 131 (2002).
21. H. Suman and K. Schilling, Phys. Lett. B 373, 314 (1996).
22. A. Cucchieri, Nucl. Phys. B508, 353 (1997).
23. A. Cucchieri, T. Mendes, and D. Zwanziger, Nucl. Phys. B (Proc. Suppl.) 106, 697 (2002).
24. A. Cucchieri and D. Zwanziger, Phys. Rev. D 65, 014001 (2002).
25. V. N. Gribov, Nucl. Phys. B139, 1 (1978).
26. C. Alexandrou, P. de Forcrand, and E. Follana, Phys. Rev. D 63, 094504 (2001);
27. C. Alexandrou, P. de Forcrand, and E. Follana, Phys. Rev. D 65, 114508 (2002).
28. Patrick O. Bowman, Urs M. Heller, Derek B. Leinweber, and Anthony G. Williams, Phys. Rev. D 66, 074505 (2002).
29. D. Zwanziger, Nucl. Phys. B399, 477 (1993).
30. D. Zwanziger, Nucl. Phys. B364, 127 (1991).
31. T. Kugo and I. Ojima, Prog. Theor. Phys. Suppl. 66, 1 (1979).
32. N. Nakanishi and I. Ojima, Covariant Operator Formalism of Gauge Theories and Quantum Gravity, Lecture Notes in Physics, Vol. 27 (World Scientific, Singapore, 1990).
33. I. Singer, Commun. Math. Phys. 60, 7 (1978).
34. L. Baulieu, Phys. Rep. 129, 1 (1985).
35. H. Neuberger, Phys. Lett. B 183, 337 (1987).
36. M. Testa, Phys. Lett. B 429, 349 (1998).
37. P. Hirschfeld, Nucl. Phys. B157, 37 (1979).
38. R. Friedberg, T. D. Lee, Y. Pang, and H. C. Ren, Ann. Phys. (N.Y.) 246, 381 (1996).
39. M. Semenov-Tyan-Shanskii and V. Franke, Zap. Nauch. Sem. Leningrad. Otdeleniya Matematicheskogo Instituta im V. A. Steklov, AN SSSR, 1982, Vol. 120, p. 159.
40. G. Dell'Antonio and D. Zwanziger, All Gauge Orbits and Some Gribov Copies Encompassed by the Gribov Horizon, Proceedings of the NATO Advanced Workshop on Probabilistic Methods in Quantum Field Theory and Quantum Gravity, Cargèse, 1989, edited by P. Damgaard, H. Hüffel, and A. Rosenblum (Plenum, New York, 1989).
41. G. Parisi and Y. S. Wu, Sci. Sin. 24, 484 (1981).
42. D. Zwanziger, Nucl. Phys. B192, 259 (1981).
43. E. Gozzi, Phys. Rev. D 28, 1922 (1983).
44. J. Zinn-Justin, Nucl. Phys. B275, 135 (1986).
45. J. Zinn-Justin and D. Zwanziger, Nucl. Phys. B295, 297 (1988).
46. Z. Bern, M. B. Halpern, L. Sadun, and C. Taubes, Phys. Lett. 165B, 151 (1985).
47. Z. Bern, M. B. Halpern, L. Sadun, and C. Taubes, Nucl. Phys. B284, 1 (1987).
48. Z. Bern, M. B. Halpern, L. Sadun, and C. Taubes, Nucl. Phys. B284, 35 (1987).
49. Z. Bern, M. B. Halpern, and L. Sadun, Nucl. Phys. B284, 92 (1987).
50. Z. Bern, M. B. Halpern, and L. Sadun, Z. Phys. C 35, 255 (1987).
51. L. Sadun, Z. Phys. C 36, 467 (1987).
52. M. B. Halpern, Prog. Theor. Phys. Suppl. 111, 163 (1993).
53. P. A. Grassi, L. Baulieu and D. Zwanziger, Nucl. Phys. B597, 583 (2001).
54. L. Baulieu and D. Zwanziger, J. High Energy Phys. 08, 015 (2001).
55. M. Mizutani and A. Nakamura, Nucl. Phys. B (Proc. Suppl.) 34, 253 (1994).
56. F. Shoji, T. Suzuki, H. Kodama, and A. Nakamura, Phys. Lett. B 476, 199 (2000).
57. H. Aiso, M. Fukuda, T. Iwamiya, A. Nakamura, T. Nakamura, and M. Yoshida, Prog. Theor. Phys. Suppl. 122, 123 (1996).
58. H. Aiso, J. Fromm, M. Fukuda, T. Iwamiya, A. Nakamura, T. Nakamura, M. Stingl, and M. Yoshida, Nucl. Phys. B (Proc. Suppl.) 53, 570 (1997).
59. F. Shoji, T. Suzuki, H. Kodama, and A. Nakamura, Phys. Lett. B 476, 199 (2000).
60. D. Bödeker, Nucl. Phys. B559, 502 (1999).
61. A. Munoz Sudupe and R. F. Alvarez-Estrada, Phys. Lett. 164B, 102 (1985);
62. A. Munoz Sudupe and R. F. Alvarez-Estrada, Phys. Lett. 166B, 186 (1986).
63. K. Okano, Nucl. Phys. B289, 109 (1987);
64. Prog. Theor. Phys. Suppl. 111, 203 (1993).