D-instantons and multiparticle production in N=4 SYM

Journal of High Energy Physics

Volumn 2010, Issue 1, 2010, Pages

  Kharzeev, D E ^a   Levin, E M ^a,b  

^a BROOKHAVEN NATIONAL LABORATORY   (United States)

^b TEL AVIV UNIVERSITY   (Israel)

Author keywords

Phenomenology of field theories in higher dimensions; Strings and branes phenomenology

Indexed keywords

EID: 77955008942     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP01(2010)046     Document Type: Article

References (109)

1. J. Polchinski and M. J. Strassler, Deep inelastic scattering and gauge/string duality, JHEP 05 (2003) 012 [hep-th/0209211]
2. J. Polchinski and M. J. Strassler, Hard scattering and gauge/string duality, Phys. Rev. Lett. 88 (2002) 031601 [hep-th/0109174]
3. A. V. Kotikov, L. N. Lipatov, A. I. Onishchenko and V. N. Velizhanin, Three-loop universal anomalous dimension of the Wilson operators in N = 4 SUSY Yang-Mills model, Phys. Lett. B 595 (2004) 521
4. [Erratum Phys. Lett. B 632 (2006) 754] [hep-th/0404092]
5. A. V. Kotikov and L. N. Lipatov, DGLAP and BFKL evolution equations in the N = 4 supersymmetric gauge theory, Nucl. Phys. B 661 (2003) 19
6. [Erratum Nucl. Phys. B 685 (2004) 405] [hep-ph/0208220]
7. A. V. Kotikov and L. N. Lipatov, NLO corrections to the BFKL equation in QCD and in supersymmetric gauge theories, Nucl. Phys. B 582 (2000) 19 [hep-ph/0004008]
8. A. V. Kotikov, L. N. Lipatov and V. N. Velizhanin, Anomalous dimensions of Wilson operators in N = 4 SYM theory, Phys. Lett. B 557 (2003) 114 [hep-ph/0301021]
9. J. R. Andersen and A. Sabio Vera, The gluon Green's function in N = 4 supersymmetric Yang-Mills theory, Nucl. Phys. B 699 (2004) 90 [hep-th/0406009]
10. Z. Bern, M. Czakon, L. J. Dixon, D. A. Kosower and V. A. Smirnov, The four-loop planar amplitude and cusp anomalous dimension in maximally supersymmetric Yang-Mills theory, Phys. Rev. D 75 (2007) 085010 [hep-th/0610248]
11. Z. Bern, L. J. Dixon and V. A. Smirnov, Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond, Phys. Rev. D 72 (2005) 085001 [hep-th/0505205]
12. J. M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231
13. [Int. J. Theor. Phys. 38 (1999) 1113] [hep-th/9711200]
14. S. S. Gubser, I. R. Klebanov and A. M. Polyakov, Gauge theory correlators from non-critical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109]
15. E. Witten, Anti-de Sitter space, thermal phase transition and confinement in gauge theories, Adv. Theor. Math. Phys. 2 (1998) 505 [hep-th/9803131]
16. P. Kovtun, D. T. Son and A. O. Starinets, Viscosity in strongly interacting quantum field theories from black hole physics, Phys. Rev. Lett. 94 (2005) 111601 [hep-th/0405231]
17. C. P. Herzog, A. Karch, P. Kovtun, C. Kozcaz and L. G. Yaffe, Energy loss of a heavy quark moving through N = 4 supersymmetric Yang-Mills plasma, JHEP 07 (2006) 013 [hep-th/0605158]
18. A. H. Mueller, Separating hard and soft scales in hard processes in a QCD plasma, Phys. Lett. B 668 (2008) 11 [arXiv:0805.3140]
19. --broadening in perturbative QCD with strong coupling N = 4 SYM theory, Nucl. Phys. A 811 (2008) 197 [arXiv:0803.3234]
20. Y. Hatta, E. Iancu and A. H. Mueller, Jet evolution in the N = 4 SYM plasma at strong coupling, JHEP 05 (2008) 037 [arXiv:0803.2481]
21. P. M. Chesler and L. G. Yaffe, The stress-energy tensor of a quark moving through a strongly-coupled N = 4 supersymmetric Yang-Mills plasma: comparing hydrodynamics and AdS/CFT, Phys. Rev. D 78 (2008) 045013 [arXiv:0712.0050]
22. A. Yarom, On the energy deposited by a quark moving in an N = 4 SYM plasma, Phys. Rev. D 75 (2007) 105023 [hep-th/0703095]
23. R. C. Brower, J. Polchinski, M. J. Strassler and C.-I. Tan, The Pomeron and gauge/string duality, JHEP 12 (2007) 005 [hep-th/0603115]
24. L. Cornalba, M. S. Costa and J. Penedones, Eikonal approximation in AdS/CFT: resumming the gravitational loop expansion, JHEP 09 (2007) 037 [arXiv:0707.0120]
25. R. C. Brower, M. J. Strassler and C.-I. Tan, On the Eikonal approximation in AdS space, JHEP 03 (2009) 050 [arXiv:0707.2408]
26. Y. Hatta, E. Iancu and A. H. Mueller, Deep inelastic scattering at strong coupling from gauge/string duality: the saturation line, JHEP 01 (2008) 026 [arXiv:0710.2148]
27. R. C. Brower, M. J. Strassler and C. I. Tan, On the Pomeron at large 't Hooft coupling, JHEP 03 (2009) 092 [arXiv:0710.4378]
28. L. Cornalba, M. S. Costa and J. Penedones, Eikonal methods in AdS/CFT: BFKL Pomeron at weak coupling, JHEP 06 (2008) 048 [arXiv:0801.3002]
29. L. Cornalba and M. S. Costa, Saturation in deep inelastic scattering from AdS/CFT, Phys. Rev. D 78 (2008) 096010 [arXiv:0804.1562]
30. L. Cornalba, M. S. Costa and J. Penedones, Eikonal methods in AdS/CFT: BFKL Pomeron at weak coupling, JHEP 06 (2008) 048 [arXiv:0801.3002]
31. B. Pire, C. Roiesnel, L. Szymanowski and S. Wallon, On AdS/QCD correspondence and the partonic picture of deep inelastic scattering, Phys. Lett. B 670 (2008) 84 [arXiv:0805.4346]
32. E. Levin, J. Miller, B. Z. Kopeliovich and I. Schmidt, Glauber-Gribov approach for DIS on nuclei in N = 4 SYM, JHEP 02 (2009) 048 [arXiv:0811.3586]
33. L. V. Gribov, E. M. Levin and M. G. Ryskin, Semihard processes in QCD, Phys. Rept. 100 (1983) 1
34. A. H. Mueller and J.-w. Qiu, Gluon recombination and shadowing at small values of x, Nucl. Phys. B 268 (1986) 427
35. L. D. McLerran and R. Venugopalan, Computing quark and gluon distribution functions for very large nuclei, Phys. Rev. D 49 (1994) 2233 [hep-ph/9309289]
36. L. D. McLerran and R. Venugopalan, Green's functions in the color field of a large nucleus, Phys. Rev. D 50 (1994) 2225 [hep-ph/9402335]
37. A. Ayala, J. Jalilian-Marian, L. D. McLerran and R. Venugopalan, Quantum corrections to the Weizsacker-Williams gluon distribution function at small x, Phys. Rev. D 53 (1996) 458 [hep-ph/9508302]
38. L. D. McLerran and R. Venugopalan, Fock space distributions, structure functions, higher twists, and small x, Phys. Rev. D 59 (1999) 094002 [hep-ph/9809427]
39. E. A. Kuraev, L. N. Lipatov and V. S. Fadin, The Pomeranchuk singularity in nonabelian gauge theories, Sov. Phys. JETP 45 (1977) 199
40. [Zh. Eksp. Teor. Fiz. 72 (1977) 377]
41. Ya. Ya. Balitsky and L. N. Lipatov, The Pomeranchuk singularity in quantum chromodynamics, Sov. J. Nucl. Phys. 28 (1978) 822
42. [Yad. Fiz. 28 (1978) 1597]
43. I. Balitsky, Operator expansion for high-energy scattering, Nucl. Phys. B 463 (1996) 99 [hep-ph/9509348]
44. I. Balitsky, Factorization and high-energy effective action, Phys. Rev. D 60 (1999) 014020 [hep-ph/9812311]
45. 2 structure function of a nucleus including multiple pomeron exchanges, Phys. Rev. D 60 (1999) 034008 [hep-ph/9901281]
46. J. Jalilian-Marian, A. Kovner, A. Leonidov and H. Weigert, The Wilson renormalization group for low x physics: Towards the high density regime, Phys. Rev. D 59 (1999) 014014 [hep-ph/9706377]
47. J. Jalilian-Marian, A. Kovner, A. Leonidov and H. Weigert, The BFKL equation from the Wilson renormalization group, Nucl. Phys. B 504 (1997) 415 [hep-ph/9701284]
48. J. Jalilian-Marian, A. Kovner and H. Weigert, The Wilson renormalization group for low x physics: Gluon evolution at finite parton density, Phys. Rev. D 59 (1999) 014015 [hep-ph/9709432]
49. A. Kovner, J. G. Milhano and H. Weigert, Relating different approaches to nonlinear QCD evolution at finite gluon density, Phys. Rev. D 62 (2000) 114005 [hep-ph/0004014]
50. E. Iancu, A. Leonidov and L. D. McLerran, The renormalization group equation for the color glass condensate, Phys. Lett. B 510 (2001) 133 [hep-ph/0102009]
51. E. Iancu, A. Leonidov and L. D. McLerran, Nonlinear gluon evolution in the color glass condensate. I, Nucl. Phys. A 692 (2001) 583 [hep-ph/0011241]
52. E. Ferreiro, E. Iancu, A. Leonidov and L. McLerran, Nonlinear gluon evolution in the color glass condensate. II, Nucl. Phys. A 703 (2002) 489 [hep-ph/0109115]
53. H. Weigert, Unitarity at small Bjorken x, Nucl. Phys. A 703 (2002) 823 [hep-ph/0004044]
54. F. J. Dyson, Divergence of perturbation theory in quantum electrodynamics, Phys. Rev. 85 (1952) 631
55. L. N. Lipatov, Divergence of the perturbation theory series and the quasiclassical theory, Sov. Phys. JETP 45 (1977) 216
56. [Zh. Eksp. Teor. Fiz. 72 (1977) 411]
57. 2N interaction, Phys. Rev. D 15 (1977) 1544
58. C. Itzykson, G. Parisi and J. B. Zuber, Asymptotic estimates in scalar electrodynamics, Phys. Rev. Lett. 38 (1977) 306
59. A. P. Bukhvostov and L. N. Lipatov, Asymptotic estimates of higher order perturbation theory approximations in scalar electrodynamics, Sov. Phys. JETP 46 (1977) 871
60. [Zh. Eksp. Teor. Fiz. 73 (1977) 1658]
61. L. N. Lipatov, A. P. Bukhvostov and E. I. Malkov, Large order estimates for perturbation theory of a Yang-Mills field coupled to a scalar field, Phys. Rev. D 19 (1979) 2974
62. A. A. Belavin, A. M. Polyakov, A. S. Shvarts and Y. S. Tyupkin, Pseudoparticle solutions of the Yang-Mills equations, Phys. Lett. B 59 (1975) 85
63. T. Schafer and E. V. Shuryak, Instantons in QCD, Rev. Mod. Phys. 70 (1998) 323 [hep-ph/9610451]
64. D. Diakonov, Instantons at work, Prog. Part. Nucl. Phys. 51 (2003) 173 [hep-ph/0212026]
65. N. Dorey, T. J. Hollowood, V. V. Khoze and M. P. Mattis, The calculus of many instantons, Phys. Rept. 371 (2002) 231 [hep-th/0206063]
66. D. E. Kharzeev, Y. V. Kovchegov and E. Levin, QCD instantons and the soft Pomeron, Nucl. Phys. A 690 (2001) 621 [hep-ph/0007182]
67. A. Ringwald and F. Schrempp, Instanton-induced cross-sections in deep-inelastic scattering, Phys. Lett. B 438 (1998) 217 [hep-ph/9806528]
68. I. I. Balitsky and V. M. Braun, Instanton-induced contributions of fractional twist in the cross-section of hard gluon-gluon scattering in QCD, Phys. Rev. D 47 (1993) 1879
69. E. V. Shuryak and I. Zahed, Instanton-induced effects in QCD high-energy scattering, Phys. Rev. D 62 (2000) 085014 [hep-ph/0005152]
70. A. E. Dorokhov and I. O. Cherednikov, Instanton effects in quark form factor and quark quark scattering at high energy, Ann. Phys. 314 (2004) 321 [hep-ph/0404040]
71. N. Kochelev, Role of anomalous chromomagnetic interaction in Pomeron and odderon structures and in gluon distribution, arXiv:0907.3555
72. G. W. Gibbons, M. B. Green and M. J. Perry, Instantons and seven-branes in type IIB superstring theory, Phys. Lett. B 370 (1996) 37 [hep-th/9511080]
73. M. B. Green and M. Gutperle, Effects of D-instantons, Nucl. Phys. B 498 (1997) 195 [hep-th/9701093]
74. A. V. Belitsky, S. Vandoren and P. van Nieuwenhuizen, Yang-Mills and D-instantons, Class. Quant. Grav. 17 (2000) 3521 [hep-th/0004186]
75. C. Fronsdal, Elementary particles in a curved space.ii, Phys. Rev. D 10 (1974) 589
76. C. P. Burgess, A. Font and F. Quevedo, Low-energy effective action for the superstring, Nucl. Phys. B 272 (1986) 661
77. T. Inami and H. Ooguri, One loop effective potential in anti-De Sitter space, Prog. Theor. Phys. 73 (1985) 1051
78. C. J. C. Burges, D. Z. Freedman, S. Davis and G. W. Gibbons, Supersymmetry in anti-De Sitter space, Ann. Phys. 167 (1986) 285
79. d+1, Nucl. Phys. B 562 (1999) 330 [hep-th/9902042]
80. d+1, Nucl. Phys. B 550 (1999) 261 [hep-th/9811257]
81. d+1 correspondence, Nucl. Phys. B 546 (1999) 96 [hep-th/9804058]
82. E. D'Hoker, D. Z. Freedman, S. D. Mathur, A. Matusis and L. Rastelli, Graviton exchange and complete 4-point functions in the AdS/CFT correspondence, Nucl. Phys. B 562 (1999) 353 [hep-th/9903196]
83. H. Liu, Scattering in anti-de Sitter space and operator product expansion, Phys. Rev. D 60 (1999) 106005 [hep-th/9811152]
84. H. Georgi, Unparticle physics, Phys. Rev. Lett. 98 (2007) 221601 [hep-ph/0703260]
85. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150]
86. V. I. Zakharov, Unitarity versus classical field approach to multiparticle production, Nucl. Phys. B 383 (1992) 218
87. V. I. Zakharov, Classical corrections to instanton induced interactions, Nucl. Phys. B 371 (1992) 637
88. A. H. Mueller, First quantum corrections to gluon-gluon collisions in the one instanton sector, Nucl. Phys. B 348 (1991) 310
89. A. H. Mueller, Baryon-number violation in the one-instanton sector: A classical procedure of calculation, Nucl. Phys. B 381 (1992) 597
90. V. A. Rubakov and M. E. Shaposhnikov, Electroweak baryon number non-conservation in the early universe and in high-energy collisions, Usp. Fiz. Nauk 166 (1996) 493
91. [Phys. Usp. 39 (1996) 461] [hep-ph/9603208]
92. I. I. Balitsky and M. G. Ryskin, The possibility to observe QCD instanton, Phys. Lett. B 296 (1992) 185
93. I. I. Balitsky and V. M. Braun, Valleys in Minkowski space and instanton induced crosssections, Nucl. Phys. B 380 (1992) 51
94. 5 string theory and D = 4 SUSY Yang-Mills, JHEP 05 (1998) 002 [hep-th/9804170]
95. D. Kharzeev, Parity violation in hot QCD: Why it can happen and how to look for it, Phys. Lett. B 633 (2006) 260 [hep-ph/0406125]
96. D. Kharzeev and A. Zhitnitsky, Charge separation induced by P-odd bubbles in QCD matter, Nucl. Phys. A 797 (2007) 67 [arXiv:0706.1026]
97. D. E. Kharzeev, L. D. McLerran and H. J. Warringa, The effects of topological charge change in heavy ion collisions: 'Event by event P and CP-violation', Nucl. Phys. A 803 (2008) 227 [arXiv:0711.0950]
98. K. Fukushima, D. E. Kharzeev and H. J. Warringa, The chiral magnetic effect, Phys. Rev. D 78 (2008) 074033 [arXiv:0808.3382]
99. D. E. Kharzeev and H. J. Warringa, Chiral magnetic conductivity, Phys. Rev. D 80 (2009) 034028 [arXiv:0907.5007]
100. D. E. Kharzeev, Topologically induced local P and CP-violation in hot QCD, arXiv:0906.2808
101. P. V. Buividovich, M. N. Chernodub, E. V. Luschevskaya and M. I. Polikarpov, Numerical evidence of chiral magnetic effect in lattice gauge theory, Phys. Rev. D 80 (2009) 054503 [arXiv:0907.0494]
102. P. V. Buividovich, M. N. Chernodub, E. V. Luschevskaya and M. I. Polikarpov, Lattice QCD in strong magnetic fields, arXiv:0909.1808
103. P. V. Buividovich, M. N. Chernodub, E. V. Luschevskaya and M. I. Polikarpov, Quark electric dipole moment induced by magnetic field, arXiv:0909.2350
104. G. Lifschytz and M. Lippert, Holographic magnetic phase transition, Phys. Rev. D 80 (2009) 066007 [arXiv:0906.3892]
105. G. Lifschytz and M. Lippert, Anomalous conductivity in holographic QCD, Phys. Rev. D 80 (2009) 066005 [arXiv:0904.4772]
106. H.-U. Yee, Holographic chiral magnetic conductivity, JHEP 11 (2009) 085 [arXiv:0908.4189]
107. A. Rebhan, A. Schmitt and S. A. Stricker, Anomalies and the chiral magnetic effect in the Sakai-Sugimoto model, arXiv:0909.4782
108. STAR collaboration, B. I. Abelev et al., Azimuthal charged-particle correlations and possible local strong parity violation, Phys. Rev. Lett. 103 (2009) 251601 [arXiv:0909.1739]
109. STAR collaboration, B. I. Abelev et al., Observation of charge-dependent azimuthal correlations and possible local strong parity violation in heavy ion collisions, arXiv:0909.1717