Skip to main content
SpringerLink
Log in

Regge field theory in zero transverse dimensions: loops versus “net” diagrams

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal C Aims and scope Submit manuscript

Abstract

Toy models of interacting Pomerons with triple and quaternary Pomeron vertices in zero transverse dimension are investigated. Numerical solutions for eigenvalues and eigenfunctions of the corresponding Hamiltonians are obtained, providing the quantum solution for the scattering amplitude in both models. The equations of motion of the theories are also considered and the classical solutions of the equations are found. Full two-point Green functions (“effective” Pomeron propagator) and amplitude of diffractive dissociation process are calculated in the framework of RFT-0 approach. The importance of the loops contribution in the amplitude at different values of the model parameters is discussed as well as the difference between the models with and without quaternary Pomeron vertex.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. L.N. Lipatov, Sov. J. Nucl. Phys. 23, 338 (1976) [Yad. Fiz. 23, 642 (1976)]

    Google Scholar 

  2. E.A. Kuraev, L.N. Lipatov, V.S. Fadin, Sov. Phys. JETP 45, 199 (1977) [Zh. Eksp. Teor. Fiz. 72, 377 (1977)]

    MathSciNet  ADS  Google Scholar 

  3. I.I. Balitsky, L.N. Lipatov, Sov. J. Nucl. Phys. 28, 822 (1978) [Yad. Fiz. 28, 1597 (1978)]

    Google Scholar 

  4. L.N. Lipatov, Phys. Rep. 286, 131 (1997)

    Article  ADS  Google Scholar 

  5. V.S. Fadin, L.N. Lipatov, Phys. Lett. B 429, 127 (1998)

    Article  ADS  Google Scholar 

  6. M. Ciafaloni, G. Camici, Phys. Lett. B 430, 349 (1998)

    Article  ADS  Google Scholar 

  7. V.S. Fadin, R. Fiore, Phys. Lett. B 610, 61 (2005) [Erratum-ibid. B 621, 61 (2005)]

    Article  ADS  Google Scholar 

  8. V.S. Fadin, R. Fiore, Phys. Rev. D 72, 014018 (2005)

    Article  ADS  Google Scholar 

  9. J. Bartels, Z. Phys. C 60, 471 (1993)

    Article  ADS  Google Scholar 

  10. J. Bartels, M. Wüsthoff, Z. Phys. C 66, 157 (1995)

    Article  ADS  Google Scholar 

  11. J. Bartels, C. Ewerz, J. High Energy Phys. 9909, 026 (1999)

    Article  ADS  Google Scholar 

  12. C. Ewerz, Phys. Lett. B 512, 239 (2001)

    Article  ADS  MATH  Google Scholar 

  13. C. Ewerz, V. Schatz, Nucl. Phys. A 736, 371 (2004)

    Article  ADS  Google Scholar 

  14. T. Bittig, C. Ewerz, Nucl. Phys. A 755, 616 (2005)

    Article  ADS  Google Scholar 

  15. J. Jalilian-Marian, A. Kovner, H. Weigert, Phys. Rev. D 59, 014015 (1999)

    Article  ADS  Google Scholar 

  16. J. Jalilian-Marian, A. Kovner, A. Leonidov, H. Weigert, Phys. Rev. D 59, 014014 (1999)

    Article  ADS  Google Scholar 

  17. E. Iancu, A. Leonidov, L.D. McLerran, Nucl. Phys. A 692, 583 (2001)

    Article  ADS  MATH  Google Scholar 

  18. E. Iancu, A. Leonidov, L.D. McLerran, Phys. Lett. B 510, 133 (2001)

    Article  ADS  MATH  Google Scholar 

  19. E. Iancu, L.D. McLerran, Phys. Lett. B 510, 145 (2001)

    Article  ADS  MATH  Google Scholar 

  20. E. Ferreiro, E. Iancu, A. Leonidov, L. McLerran, Nucl. Phys. A 703, 489 (2002)

    Article  ADS  MATH  Google Scholar 

  21. I. Balitsky, Nucl. Phys. B 463, 99 (1996)

    Article  ADS  Google Scholar 

  22. Y.V. Kovchegov, Phys. Rev. D 60, 034008 (1999)

    Article  ADS  Google Scholar 

  23. Y.V. Kovchegov, Phys. Rev. D 61, 074018 (2000)

    Article  ADS  Google Scholar 

  24. A.H. Mueller, Nucl. Phys. B 415, 373 (1994)

    Article  ADS  Google Scholar 

  25. E. Levin, K. Tuchin, Nucl. Phys. B 573, 833 (2000)

    Article  ADS  Google Scholar 

  26. M. Braun, Eur. Phys. J. C 16, 337 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  27. H. Weigert, Nucl. Phys. A 703, 823 (2002)

    Article  ADS  Google Scholar 

  28. N. Armesto, M.A. Braun, Eur. Phys. J. C 20, 517 (2001)

    Article  ADS  Google Scholar 

  29. K. Golec-Biernat, L. Motyka, A.M. Staśto, Phys. Rev. D 65, 074037 (2002)

    Article  ADS  Google Scholar 

  30. G. Chachamis, M. Lublinsky, A. Sabio Vera, Nucl. Phys. A 748, 649 (2005)

    Article  ADS  Google Scholar 

  31. K. Golec-Biernat, A.M. Staśto, Nucl. Phys. B 668, 345 (2003)

    Article  ADS  MATH  Google Scholar 

  32. K. Rummukainen, H. Weigert, Nucl. Phys. A 739, 183 (2004)

    Article  ADS  Google Scholar 

  33. E. Levin, K. Tuchin, Nucl. Phys. A 691, 779 (2001)

    Article  ADS  Google Scholar 

  34. J. Kwieciński, A.M. Staśto, Phys. Rev. D 66, 014013 (2002)

    Article  ADS  Google Scholar 

  35. E. Iancu, K. Itakura, L. McLerran, Nucl. Phys. A 708, 327 (2002)

    Article  ADS  MATH  Google Scholar 

  36. A.H. Mueller, D.N. Triantafyllopoulos, Nucl. Phys. B 640, 331 (2002)

    Article  ADS  MATH  Google Scholar 

  37. D.N. Triantafyllopoulos, Nucl. Phys. B 648, 293 (2003)

    Article  ADS  Google Scholar 

  38. L. Motyka, Phys. Lett. B, in print. arXiv:hep-ph/0509270

  39. E. Gotsman, E. Levin, M. Lublinsky, U. Maor, Eur. Phys. J. C 27, 411 (2003)

    Article  ADS  Google Scholar 

  40. K. Kutak, J. Kwieciński, Eur. Phys. J. C 29, 521 (2003)

    Article  ADS  Google Scholar 

  41. K. Kutak, A.M. Staśto, Eur. Phys. J. C 41, 343 (2005)

    Article  ADS  Google Scholar 

  42. E. Iancu, K. Itakura, S. Munier, Phys. Lett. B 590, 199 (2004)

    Article  ADS  Google Scholar 

  43. M.A. Braun, Phys. Lett. B 483, 115 (2000)

    Article  ADS  Google Scholar 

  44. M.A. Braun, Eur. Phys. J. C 33, 113 (2004)

    Article  ADS  Google Scholar 

  45. M.A. Braun, Phys. Lett. B 632, 297 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  46. L.N. Lipatov, Nucl. Phys. B 452, 369 (1995)

    Article  ADS  Google Scholar 

  47. A. Kovner, M. Lublinsky, Phys. Rev. Lett. 94, 181603 (2005)

    Article  ADS  Google Scholar 

  48. J.P. Blaizot, E. Iancu, K. Itakura, D.N. Triantafyllopoulos, Phys. Lett. B 615, 221 (2005)

    ADS  Google Scholar 

  49. Y. Hatta, E. Iancu, L. McLerran, A. Staśto, D.N. Triantafyllopoulos, Nucl. Phys. A 764, 423 (2006)

    Article  ADS  Google Scholar 

  50. C. Marquet, A.H. Mueller, A.I. Shoshi, S.M.H. Wong, Nucl. Phys. A 762, 252 (2005)

    Article  ADS  Google Scholar 

  51. I. Balitsky, Phys. Rev. D 75, 014001 (2007)

    Article  ADS  Google Scholar 

  52. I. Balitsky, G.A. Chirilli, Phys. Rev. D 77, 014019 (2008)

    Article  ADS  Google Scholar 

  53. Y.V. Kovchegov, H. Weigert, Nucl. Phys. A 784, 188 (2007)

    Article  ADS  Google Scholar 

  54. J.L. Albacete, Y.V. Kovchegov, Phys. Rev. D 75, 125021 (2007)

    Article  ADS  Google Scholar 

  55. J. Bartels, M.G. Ryskin, G.P. Vacca, Eur. Phys. J. C 27, 101 (2003)

    Article  ADS  Google Scholar 

  56. M.A. Braun, Eur. Phys. J. C 63, 287 (2009)

    Article  ADS  Google Scholar 

  57. D. Amati, L. Caneschi, R. Jengo, Nucl. Phys. B 101, 397 (1975)

    Article  ADS  Google Scholar 

  58. R. Jengo, Nucl. Phys. B 108, 447 (1976)

    Article  ADS  Google Scholar 

  59. D. Amati, M. Le Bellac, G. Marchesini, M. Ciafaloni, Nucl. Phys. B 112, 107 (1976)

    Article  ADS  Google Scholar 

  60. M. Ciafaloni, M. Le Bellac, G.C. Rossi, Nucl. Phys. B 130, 388 (1977)

    Article  ADS  Google Scholar 

  61. M. Ciafaloni, Nucl. Phys. B 146, 427 (1978)

    Article  MathSciNet  ADS  Google Scholar 

  62. A.H. Mueller, Nucl. Phys. B 437, 107 (1995)

    Article  ADS  Google Scholar 

  63. P. Rembiesa, A.M. Stasto, Nucl. Phys. B 725, 251 (2005)

    Article  ADS  MATH  Google Scholar 

  64. A.I. Shoshi, B.W. Xiao, Phys. Rev. D 73, 094014 (2006)

    Article  ADS  Google Scholar 

  65. M. Kozlov, E. Levin, Nucl. Phys. A 779, 142 (2006)

    Article  ADS  Google Scholar 

  66. A.I. Shoshi, B.W. Xiao, Phys. Rev. D 73, 094014 (2006)

    Article  ADS  Google Scholar 

  67. M.A. Braun, G.P. Vacca, Eur. Phys. J. C 50, 857 (2007)

    Article  ADS  Google Scholar 

  68. J.P. Blaizot, E. Iancu, D.N. Triantafyllopoulos, Nucl. Phys. A 784, 227 (2007)

    Article  ADS  Google Scholar 

  69. N. Armesto, S. Bondarenko, J.G. Milhano, P. Quiroga, J. High Energy Phys. 0805, 103 (2008)

    Article  ADS  Google Scholar 

  70. S. Bondarenko, L. Motyka, Phys. Rev. D 75, 114015 (2007)

    Article  ADS  Google Scholar 

  71. S. Bondarenko, M.A. Braun, Nucl. Phys. A 799, 151 (2008)

    Article  ADS  Google Scholar 

  72. M.A. Braun, Nucl. Phys. A 806, 230 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  73. S. Bondarenko, L. Motyka, A.H. Mueller, A.I. Shoshi, B.-W. Xiao, Eur. Phys. J. C 50, 593 (2007)

    Article  ADS  Google Scholar 

  74. G.P. Korchemsky, Nucl. Phys. B 550, 397 (1999)

    Article  MathSciNet  ADS  Google Scholar 

  75. S. Bondarenko, Nucl. Phys. A 792, 264 (2007)

    Article  ADS  Google Scholar 

  76. S. Bondarenko, E. Gotsman, E. Levin, U. Maor, Nucl. Phys. A 683, 649 (2001)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Ariel University Center, Ariel, Israel

    S. Bondarenko

Authors
  1. S. Bondarenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. Bondarenko.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bondarenko, S. Regge field theory in zero transverse dimensions: loops versus “net” diagrams. Eur. Phys. J. C 71, 1587 (2011). https://doi.org/10.1140/epjc/s10052-011-1587-4

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjc/s10052-011-1587-4

Keywords

Search

Navigation