Renormalization of twist-three operators and integrable lattice models

Nuclear Physics B

Volumn 574, Issue 1-2, 2000, Pages 407-447

  Belitsky, A V ^a  

^a UNIVERSITY OF REGENSBURG   (Germany)

Author keywords

Evolution; Integrability; Spectrum of eigenvalues; Three particle problem; Twist three operators

Indexed keywords

EID: 0034656448     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(00)00003-1     Document Type: Article

References (78)

1. w1x R.P. Feynman, Photon Hadron Interaction W.A. Benjamin, New York, 1971 ..
2. w2x K. Wilson, Phys. Rev. 179 1969 . 1499.
3. w3x N. Christ, B. Hasslacher, A.H. Mueller, Phys. Rev. D 6 1972 . 3542.
4. w4x H.D. Politzer, Nucl. Phys. B 172 1980 . 349.
5. w5x J.C. Collins, Renormalization Cambridge Univ. Press, Cambridge, 1984 ..
6. w6x J.C. Collins, D.E. Soper, G. Sterman, Factorization of hard processes in QCD, in: Perturbative Quantum Chromodynamics, A.H. Mueller, ed. World Scientific, Singapore, 1989 ..
7. w7x J. Qiu, G. Sterman, Nucl. Phys. B 353 1991 . 105.
8. w8x J. Qui, G. Sterman, Nucl. Phys. B 353 1991 . 137.
9. w9x R.L. Jaffe, Comments Nucl. Part. Phys. 19 1990 . 239.
10. w10x M. Anselmino, A.V. Efremov, E. Leader, Phys. Rep. 261 1995 . 1.
11. w11x K. Abe et al., Phys. Rev. D 58 1998 . 112003.
12. w12x A.P. Bukhvostov, E.A. Kuraev, L.N. Lipatov, Sov. Phys. JETP 60 1984 . 22.
13. w13x A.V. Belitsky, A.V. Efremov, O.V. Teryaev, Phys. Atom. Nucl. 58 1995 . 1253.
14. w14x J. Kodaira, T. Nasuno, H. Tochimura, K. Tanaka, Prog. Theor. Phys. 99 1998 . 315.
15. w15x I.P. Ivanov, N.N. Nikolaev, A.V. Pronyaev, W. Schäfer, Phys. Lett. B 457 1999 . 218.
16. w16x A.V. Efremov, O.V. Teryaev, Sov. J. Nucl. Phys. 36 1982 . 140.
17. w17x A.V. Efremov, O.V. Teryaev, Sov. J. Nucl. Phys. 39 1982 . 962.
18. w18x A.V. Efremov, O.V. Teryaev, Phys. Lett. B 150 1985 . 383.
19. w19x J.W. Qiu, G. Sterman, Phys. Rev. Lett. 67 1991 . 2264.
20. w20x J.W. Qiu, G. Sterman, Nucl. Phys. B 378 1992 . 52.
21. w21x J.W. Qiu, G. Sterman, Phys. Rev. D 59 1998 . 014004.
22. w22x X. Ji, Phys. Lett. B 289 1992 . 137.
23. w23x D. Boer, P.J. Mulders, O.V. Teryaev, Phys. Rev. D 57 1998 . 3057.
24. w24x A.P. Bukhvostov, G.V. Frolov, L.N. Lipatov, E.A. Kuraev, Nucl. Phys. B 258 1985 . 601.
25. w25x A.V. Belitsky, in: Proc. of the XXXI PNPI Winter School on Nuclear and Particle Physics St. Petersburg, 1997 . p. 369, hep-phr9703432.
26. w26x J. Kodaira, K. Tanaka, Prog. Theor. Phys. 101 1999 . 191.
27. w27x V.M. Braun, S.E. Derkachov, A.N. Manashov, Phys. Rev. Lett. 81 1998 . 2020.
28. w28x V.M. Braun, S.E. Derkachov, G.P. Korchemsky, A.N. Manashov, Nucl. Phys. B 1999 ., in print, hep-phr9902375.
29. w29x A.V. Belitsky, Phys. Lett. B 453 1999 . 59.
30. w30x A.V. Belitsky, Nucl. Phys. B 1999, in print, hep-phr9903512.
31. w31x L.N. Lipatov, JETP Lett. 59 1994 . 596.
32. w32x L.N. Lipatov, Nucl. Phys. B 548 1999 . 328.
33. w33x L.D. Faddeev, G.P. Korchemsky, Phys. Lett. B 342 1995 . 311.
34. w34x G.P. Korchemsky, Nucl. Phys. B 443 1995 . 255.
35. w35x G.P. Korchemsky, Nucl. Phys. B 462 1995 . 333.
36. w36x I.I. Balitsky, V.M. Braun, Nucl. Phys. B 311 1989 . 541.
37. w37x D. Müller, Phys. Lett. B 407 1997 . 314.
38. w38x G. Mack, A. Salam, Ann. Phys. 53 1969 . 174.
39. w39x A.V. Efremov, A.V. Radyushkin, Phys. Lett. B 94 1980 . 245.
40. w40x S.J. Brodsky, G.P. Lepage, Phys. Rev. D 22 1980 . 2157.
41. w41x Yu.M. Makeenko, Sov. J. Nucl. Phys. 33 1981 . 440.
42. w42x Th. Ohrndorf, Nucl. Phys. B 198 1982 . 26.
43. w43x D. Müller, Phys. Rev. D 49 1994 . 2525.
44. w44x A.V. Belitsky, D. Müller, Nucl. Phys. B 527 1998 . 207.
45. w45x A.V. Belitsky, D. Müller, Nucl. Phys. B 537 1999 . 397.
46. w46x A.G. Izergin, V.E. Korepin, Sov. Phys. Dokl. 26 1981 . 653.
47. w47x A.G. Izergin, V.E. Korepin, Nucl. Phys. B 205 1982 . 401.
48. w48x E.K. Sklyanin, L.A. Takhtajan, L.D. Faddeev, Theor. Math. Phys. 40 1979 . 194.
49. w49x L.D. Faddeev, Mathematical Physics Reviews, Sec. C: Math. Phys. Rev. 1, Vol. 1, S.P. Novikov, ed. Harwood, 1980 . p. 107.
50. w50x L.D. Faddeev, L.A. Takhtajan, Russ. Math. Surveys 34 1979 . 11.
51. w51x V.E. Korepin, N.M. Bogoliubov, A.G. Izergin, Quantum Inverse Scattering Method and Correlation Functions Cambridge Univ. Press, Cambridge, 1993 ..
52. w52x P.P. Kulish, E.K. Sklyanin, Quantum spectral transform method. Recent developments, in: Lecture Notes in Physics 151 Springer, Berlin, 1982 . p. 61.
53. w53x P.P. Kulish, N.Yu. Reshetikhin, E.K. Sklyanin, Lett. Math. Phys. 5 1981 . 393.
54. w54x V.O. Tarasov, L.A. Takhtajan, L.D. Faddeev, Theor. Math. Phys. 57 1983 . 1059.
55. w55x L.D. Faddeev, Int. J. Mod. Phys. A 10 1995 . 1845.
56. w56x L.D. Faddeev, hep-thr9605187, in: How algebraic Bethe ansatz works for integrable models, Les Houches Lectures 1995 ..
57. w57x R. Askey, J. Wilson, Mem. Am. Math. Soc. 319 1985 . 1.
58. w58x G. Gasper, M. Rahman, Basic Hypergeometric Series Cambridge Univ. Press, Cambridge, 1990 ..
59. w59x R.J. Baxter, Exactly Solved Models in Statistical Mechanics Academic Press, London, 1982 ..
60. w60x E.K. Sklyanin, The quantum Toda chain, in: Lecture Notes in Physics 226 Springer, Berlin, 1985 . p. 196.
61. w61x E.K. Sklyanin, Quantum inverse scattering method. Selected topics, in: Nankai Lectures in Mathematical Physics Quantum Groups and Integrable Systems, Mo-Lin Ge, ed. World Scientific, Singapore, 1992 . p. 63; hep-thr9211111.
62. w62x V. Pasquier, M. Gaudin, J. Phys. A 23 1992 . 5243.
63. w63x H. Flaschka, D.W. McLaughlin, Prog. Theor. Phys. 55 1976 . 438.
64. w64x H. Bateman, A. Erdélyi, Higher Transcendental Functions, Vol. 1 McGraw-Hill, New York, 1953 ..
65. w65x S.E. Derkachov, A.N. Manashov, J. Phys. A 29 1996 . 8011.
66. w66x S.E. Derkachov, S. Kehrein, A.N. Manashov, Nucl. Phys. B 493 1997 . 660.
67. w67x E.V. Shuryak, A.I. Vainshtein, Nucl. Phys. B 201 1982 . 141.
68. w68x A.P. Bukhvostov, E.A. Kuraev, L.N. Lipatov, JETP Lett. 37 1983 . 482.
69. w69x P.G. Ratcliff, Nucl. Phys. B 264 1986 . 493.
70. w70x X. Ji, C. Chou, Phys. Rev. D 42 1990 . 3637.
71. w71x J. Kodaira, Y. Yasui, K. Tanaka, T. Uemastu, Phys. Lett. B 387 1996 . 855.
72. w72x B. Geyer, D. Müller, D. Robaschik, Nucl. Phys. Proc. Suppl. 51C 1996 . 106.
73. w73x X. Ji, J. Osborne, Eur. J. Phys. C 9 1999 . 487.
74. w74x D.R. Karakhanyan, R. Kirschner, High-energy scattering in gauge theories and integrable spin chains, hep-thr9902031.
75. w75x D.R. Karakhanyan, R. Kirschner, Conserved currents of three-reggeon interaction, hep-thr9902147.
76. w76x S.E. Derkachov, G.P. Korchemsky, A.N. Manashov, Evolution equations for quark - gluon distributions in multicolour QCD and open spin chains, hep-phr9909539.
77. w77x E.K. Sklyanin, J. Phys. A 21 1988 . 2375.
78. w78x A. Ali, V.M. Braun, G. Hiller, Phys. Lett. B 266 1991 . 117.