Real-time relaxation and kinetics in hot scalar QED: Landau damping

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 58, Issue 12, 1998, Pages

  Boyanovsky, Daniel ^a   de Vega, Héctor J ^b   Holman, Richard ^c   Kumar, S Prem ^c   Pisarski, Robert D ^d  

^a UNIVERSITY OF PITTSBURGH   (United States)

^b LPTHE   (France)

^c CARNEGIE MELLON UNIVERSITY   (United States)

^d BROOKHAVEN NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000285773     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.58.125009     Document Type: Article

References (122)

1. J. W. Harris and B. Muller, Annu. Rev. Nucl. Part. Sci. 46, 71 (1996);
2. B. Muller, in Particle Production in Highly Excited Matter, edited by H. H. Gutbrod and J. Rafelski (NATO ASI Series B: Physics, Vol. 303), New York, 1993)(Plenum;B. Muller, The Physics of the Quark Gluon Plasma, Lecture Notes in Physics Vol. 225 (Springer-Verlag, Berlin, Heidelberg, 1985);B. Muller, The Physics of the Quark Gluon Plasma, Lecture Notes in Physics Vol. 225 (Springer-Verlag, Berlin, Heidelberg, 1985).
3. H. Meyer-Ortmanns, Rev. Mod. Phys. 68, 473 (1996).
4. H. Satz, in Proceedings of the ECFA Large Hadron Collider Workshop, Aachen, Germany, 1990, edited by G. Jarlskog and D. Rein (CERN Report No. 90-10, Geneva, Switzerland, 1990), Vol. 1, p. 188;in Particle Production in Highly Excited Matter 1.
5. K. Geiger, Phys. Rep. 258, 237 (1995);
6. K. GeigerPhys. Rev. D 46, 4965 (1992);
7. Phys. Rev. DK. Geiger47, 133 (1993);
8. in Quark Gluon Plasma 2, edited by R. C. Hwa (World Scientific, Singapore, 1995).
9. X. N. Wang, Phys. Rep. 280, 287 (1997).
10. M. H. Thoma, in Quark Gluon Plasma 2 4.
11. J.-P Blaizot, J.-Y. Ollitrault, and E. Iancu, in Quark Gluon Plasma 2 4.
12. H. Elze and U. Heinz, Phys. Rep. 183, 81 (1989).
13. V. A. Kuzmin, V. A. Rubakov, and M. E. Shaposhnikov, Phys. Lett. 155B, 36 (1985);
14. for reviews on the subject see A. D. Dolgov, Phys. Rep. 222, 309 (1992);
15. A. G. Cohen, D. B. Kaplan, and A. E. Nelson, Annu. Rev. Nucl. Part. Sci. 43, 27 (1993);
16. V. A. Rubakov and M. E. Shaposhnikov, Usp. Fiz. Nauk 166, 493 (1996).
17. P. Arnold and L. McLerran, Phys. Rev. D 36, 581 (1987).
18. R. D. Pisarski, Physica A 158, 146 (1989);
19. R. D. PisarskiPhys. Rev. Lett. 63, 1129 (1989).
20. E. Braaten and R. D. Pisarski, Nucl. Phys. B337, 569 (1990);
21. Nucl. Phys.E. BraatenR. D. PisarskiB339, 310 (1990).
22. R. D. Pisarski, Nucl. Phys. B309, 476 (1988).
23. J. Frenkel and J. C. Taylor, Nucl. Phys. B334, 199 (1990);
24. Nucl. Phys.J. C. Taylor and S. M. H. Wong, B346, 115 (1990);
25. R. Efraty and V. P. Nair, Phys. Rev. Lett. 68, 2891 (1992);
26. R. Jackiw and V. P. Nair, Phys. Rev. D 48, 4991 (1993).
27. J. P. Blaizot and E. Iancu, Nucl. Phys. B421, 565 (1994);
28. Nucl. Phys.J. P. BlaizotE. IancuB434, 662 (1995);
29. J. P. BlaizotE. IancuPhys. Rev. Lett. 70, 3376 (1993).
30. J.-P. Blaizot and E. Iancu, Phys. Rev. D 55, 973 (1997);
31. J.-P. BlaizotE. IancuPhys. Rev. Lett. 76, 3080 (1996);
32. J.-P. BlaizotE. IancuNucl. Phys. B459, 559 (1996);
33. J.-P. BlaizotE. IancuPhys. Rev. D 52, 2543 (1995).
34. J. Ambjorn and A. Krasnitz, Phys. Lett. B 362, 97 (1995).
35. T. S. Biro, C. Gong, and B. Müller, Phys. Rev. D 52, 1260 (1995).
36. G. D. Moore and N. G. Turok, Phys. Rev. D 55, 6533 (1997).
37. D. Yu. Grigoriev and V. A. Rubakov, Nucl. Phys. B229, 67 (1988);
38. Nucl. Phys.D. Bodeker, B486, 500 (1997).
39. W. Tang and J. Smit, Nucl. Phys. B482, 265 (1996);
40. Nucl. Phys.W. TangJ. SmitB510, 401 (1998).
41. G. Aarts and J. Smit, Phys. Lett. B 393, 395 (1997);
42. G. AartsJ. SmitNucl. Phys. B511, 451 (1998).
43. D. Bodeker, Nucl. Phys. B486, 500 (1997);
44. Nucl. Phys.D. Bodeker, M. Laine, and O. Philipsen, B513, 445 (1998);
45. D. Bodeker and M. Laine, Phys. Lett. B 416, 169 (1998).
46. W. Buchmüller and A. Jakovac, Phys. Lett. B 407, 39 (1997);
47. W. BuchmüllerA. JakovacNucl. Phys. B521, 219 (1998);
48. A. Jakovac, hep-ph/9708229.
49. C. Greiner and B. Müller, Phys. Rev. D 55, 1026 (1997).
50. D. Bodeker, L. McLerran, and A. Smilga, Phys. Rev. D 52, 4675 (1995).
51. P. Arnold, D. Son, and L. Yaffe, Phys. Rev. D 55, 6264 (1997).
52. P. Arnold and L. G. Yaffe, Phys. Rev. D 57, 1178 (1998).
53. P. Huet and D. Son, Phys. Lett. B 393, 94 (1997);
54. D. Son, hep-ph/9707351.
55. V. P. Silin, Sov. Phys. JETP 11, 1136 (1960);
56. V. P. Silin and V. N. Ursov, Sov. Phys. Lebedev. Inst. Rep.1, 34 (1981);
57. Sov. Phys. Lebedev. Inst. Rep.V. P. SilinV. N. Ursov12, 53 (1982);
58. Sov. Phys. Lebedev. Inst. Rep.V. P. SilinV. N. Ursov5, 33 (1988);
59. E. M. Lifschitz and L. P. Pitaevskii, Physical Kinetics (Pergamon, London, 1981), pp. 132–136.
60. O. K. Kalashnikov and V. V. Klimov, Sov. J. Nucl. Phys. 31, 699 (1980)
61. Sov. J. Nucl. Phys.V. V. Klimov, 33, 934 (1981);
62. V. V. KlimovSov. Phys. JETP 55, 199 (1982);
63. U. Heinz, Ann. Phys. (N.Y.) 161, 48 (1985);
64. Ann. Phys. (N.Y.)U. Heinz168, 148 (1986).
65. H. A. Weldon, Phys. Rev. D 26, 1394 (1982);
66. H. A. WeldonPhysica A 158, 169 (1989);
67. H. A. WeldonPhys. Rev. D 40, 2410 (1989);
68. R. D. Pisarski, Nucl. Phys. A498, 423c (1989);
69. R. D. PisarskiPhys. Rev. D 47, 5589 (1993).
70. C. Hu and B. Müller, Phys. Lett. B 409, 377 (1997).
71. G. D. Moore, C. Hu, and B. Müller, Phys. Rev. D 58, 045001 (1998);
72. G. D. Moore, hep-ph/9706234.
73. E. Iancu, hep-ph/9710543.
74. D. Boyanovsky, M. D’Attanasio, H. J. de Vega, and R. Holman, Phys. Rev. D 54, 1748 (1996).
75. M. le Bellac, Thermal Field Theory (Cambridge University Press, Cambridge, England, 1996).
76. U. Kraemmer, A. K. Rebhan, and H. Schulz, Ann. Phys. (N.Y.) 238, 286 (1995);
77. in From Thermal Field Theory to Neural Networks, edited by P. Aurenche, P. Sorba, and G. Veneziano (World Scientific, Singapore, 1994);
78. hep-ph/9505307.
79. L. P. Kadanoff and G. Baym, Quantum Statistical Mechanics (Benjamin, New York, 1962).
80. D. Boyanovsky, H. J. de Vega, R. Holman, and S. Prem Kumar, Phys. Rev. D 56, 3929 (1997);
81. Phys. Rev. DD. BoyanovskyH. J. de VegaR. HolmanS. Prem Kumar56, 5233 (1997).
82. D. Boyanovsky, I. D. Lawrie, and D.-S. Lee, Phys. Rev. D 54, 4013 (1996).
83. D. B. Tran Thoai and H. Haug, Phys. Rev. B 47, 3574 (1993);
84. Phys. Rev. BV. Meden, C. Wohler, J. Frick, and K. Schonhammer, 52, 5624 (1995);
85. H. Haug and A. P. Jauho, Quantum Kinetics in Transport and Optics of Semiconductors (Springer-Verlag, Berlin, 1996).
86. J. Schwinger, J. Math. Phys. 2, 407 (1961);
87. K. T. Mahanthappa, Phys. Rev. 126, 329 (1962);
88. P. M. Bakshi and K. T. Mahanthappa, J. Math. Phys. 41, 12 (1963);
89. L. V. Keldysh, JETP 20, 1018 (1965);
90. K. Chou, Z. Su, B. Hao, and L. Yu, Phys. Rep. 118, 1 (1985);
91. A. Niemi and G. Semenoff, Ann. Phys. (N.Y.) 152, 105 (1984);
92. N. P. Landsmann and C. G. van Weert, Phys. Rep. 145, 141 (1987);
93. E. Calzetta and B. L. Hu, Phys. Rev. D 35, 495 (1987);
94. Phys. Rev. DE. CalzettaB. L. Hu37, 2838 (1988);
95. Phys. Rev. DJ. P. Paz, 41, 1054 (1990);
96. Phys. Rev. DJ. P. Paz42, 529 (1990).
97. D. Boyanovsky, H. J. de Vega, and R. Holman, in Proceedings of the Second Paris Cosmology Colloquium, Observatoire de Paris, 1994, edited by H. J. de Vega and N. Sánchez (World Scientific, Singapore, 1995), pp. 127–215;
98. in Advances in Astrofundamental Physics, Erice Chalonge School, edited by N. Sánchez and A. Zichichi (World Scientific, Singapore, 1995);
99. D. Boyanovsky, H. J. de Vega, R. Holman, D.-S. Lee, and A. Singh, Phys. Rev. D 51, 4419 (1995);
100. Phys. Rev. DD. Boyanovsky, H. J. de Vega, R. Holman, and J. Salgado, 54, 7570 (1996).
101. D. Boyanovsky, H. J. de Vega, and R. Holman, in Current Topics in Astrofundamental Physics, Vth Erice Chalonge School, edited by N. Sánchez and A. Zichichi (World Scientific, Singapore, 1996), pp. 183–270;
102. D. Boyanovsky, H. J. de Vega, R. Holman, and D.-S. Lee, Phys. Rev. D 52, 6805 (1995).
103. H. A. Weldon, Phys. Rev. D 28, 2007 (1983);
104. H. A. WeldonAnn. Phys. (N.Y.) 228, 43 (1993);J.-P. Blaizot, in Proceedings of the Fourth Summer School and Symposium on Nuclear Physics, edited by D. P. Min and M. Rho (1991);
105. W. Keil, Phys. Rev. D 40, 1176 (1989).
106. A. Erdélyi, Higher Trascendental Functions (McGraw-Hill, New York, 1955), Vol. III, p. 217.
107. R. Feynman and F. Vernon, Ann. Phys. (N.Y.) 24, 118 (1963).
108. A. O. Caldeira and A. J. Leggett, Physica A 121, 587 (1983).
109. A. Schmid, J. Low Temp. Phys. 49, 609 (1982);
110. H. Grabert, P. Schramm, and G.-L. Ingold, Phys. Rep. 168, 115 (1988);
111. U. Weiss, Quantum Dissipative Systems (World Scientific, Singapore, 1993), and references therein;
112. D. Boyanovsky and D.-S. Lee, Nucl. Phys. B: Field Theory Stat. Syst. 406, 631 (1993).
113. A. Fetter and J. D. Walecka, Quantum Theory of Many Particle Systems (McGraw-Hill, New York, 1971).
114. L. D. Landau, E. M. Lifshitz, and L. P. Pitaevskii, Electrodynamics of Continuous Media (Pergamon, New York, 1984) (see Secs. 61–64).
115. A. B. Migdal, Rev. Mod. Phys. 50, 107 (1978) (see in particular Sec. III. C-1, pp. 133,134).
116. See J.-P. Blaizot and E. Iancu, Nucl. Phys. B421, 565 (1994) [in particular Sec. 4.3, Eqs. (4.33) and (4.34)].
117. See for example the discussion in L. S. Brown, Quantum Field Theory (Cambridge University Press, Cambridge, England, 1992), Sec. 6.2, p. 291.
118. S. Alamoudi, D. Boyanovsky, R. Holman, and H. J. de Vega (in preparation).
119. D. Boyanovsky, H. J. de Vega, S. P. Kumar, and R. Pisarski (in preparation).
120. J.-P. Blaizot and E. Iancu, Phys. Rev. Lett. 76, 3080 (1996);
121. J.-P. BlaizotE. IancuPhys. Rev. D 55, 973 (1997);
122. Phys. Rev. DJ.-P. BlaizotE. Iancu56, 7877 (1997).