Advertisement

The European Physical Journal C

, Volume 59, Issue 4, pp 795–808 | Cite as

PT symmetry and Hermitian Hamiltonian in the local supercritical pomeron model

Regular Article - Theoretical Physics

Abstract

The local reggeon field theory is studied perturbatively taking advantage of the PT symmetry in the Hamiltonian formulation. In the lowest non-trivial order we show that the pomeron interactions renormalize the slope. In the same order we find a non-local pair potential acting between pomerons, which has a singular structure. However, the analysis of the scattering operator shows that at small coupling constant bound states do not appear so that the two-particle spectrum is not changed.

Keywords

Transverse Dimension Schroedinger Equation Scattering Operator Pomeron Trajectory Pomeron Loop 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    E.A. Kuraev, L.N. Lipatov, V.S. Fadin, Sov. J. Exp. Theor. Phys. 44, 443 (1976) ADSGoogle Scholar
  2. 2.
    E.A. Kuraev, L.N. Lipatov, V.S. Fadin, Sov. J. Exp. Theor. Phys. 45, 199 (1977) ADSMathSciNetGoogle Scholar
  3. 3.
    Y.Y. Balitskii, L.N. Lipatov, Sov. J. Nucl. Phys. 28, 822 (1978) Google Scholar
  4. 4.
    J. Bartels, Z. Phys. C 60, 471 (1993) CrossRefADSGoogle Scholar
  5. 5.
    J. Bartels, M. Wusthoff, Z. Phys. C 66, 157 (1995) CrossRefADSGoogle Scholar
  6. 6.
    A.H. Mueller, Nucl. Phys. B 437, 107(1995). arXiv:hep-ph/9408245 CrossRefADSGoogle Scholar
  7. 7.
    A.H. Mueller, B. Patel, Nucl. Phys. B 425, 471 (1994). arXiv:hep-ph/9403256 CrossRefADSGoogle Scholar
  8. 8.
    M.A. Braun, G.P. Vacca, Eur. Phys. J. C 6, 147 (1999). arXiv:hep-ph/9711486 Google Scholar
  9. 9.
    I. Balitsky, Nucl. Phys. B 463, 99 (1996). arXiv:hep-ph/9509348 CrossRefADSGoogle Scholar
  10. 10.
    Y.V. Kovchegov, Phys. Rev. D 60, 034008 (1999). arXiv:hep-ph/9901281 CrossRefADSGoogle Scholar
  11. 11.
    Y.V. Kovchegov, Phys. Rev. D 61, 074018 (2000). arXiv:hep-ph/9905214 CrossRefADSGoogle Scholar
  12. 12.
    M.A. Braun, Phys. Lett. B 483, 115 (2000) CrossRefADSGoogle Scholar
  13. 13.
    M.A. Braun, Eur. Phys. J. C 33, 113 (2004) CrossRefADSGoogle Scholar
  14. 14.
    M.A. Braun, Eur. Phys. J. C 48, 511 (2006) CrossRefADSGoogle Scholar
  15. 15.
    A.H. Mueller, A.I. Shoshi, S.M.H. Wang, Nucl. Phys. B 715, 440 (2005) CrossRefADSGoogle Scholar
  16. 16.
    E. Iancu, D.N. Triantafyllopoulos, Phys. Lett. B 610, 253 (2005) ADSGoogle Scholar
  17. 17.
    E. Levin, M. Lublinski, Nucl. Phys. A 763, 172 (2005) CrossRefADSGoogle Scholar
  18. 18.
    S. Bondarenko, Nucl. Phys. A 792, 264 (2007) CrossRefADSGoogle Scholar
  19. 19.
    A. Schwimmer, Nucl. Phys. B 94, 445 (1975) CrossRefGoogle Scholar
  20. 20.
    D. Amati, L. Caneshi, R. Jengo, Nucl. Phys. B 101, 397 (1975) CrossRefGoogle Scholar
  21. 21.
    M. Kozlov, E. Levin, Nucl. Phys. A 779, 142 (2006). arXiv:hep-ph/0604039 CrossRefADSGoogle Scholar
  22. 22.
    S. Bondarenko, L. Motyka, A.H. Mueller, A.I. Shoshi, B.W. Xiao, Eur. Phys. J. C 50, 593 (2007). arXiv:hep-ph/0609213 CrossRefADSGoogle Scholar
  23. 23.
    M.A. Braun, G.P. Vacca, Eur. Phys. J. C 50, 857 (2007) arXiv:hep-ph/0612162 CrossRefADSGoogle Scholar
  24. 24.
    C.M. Bender, S. Boettcher, Phys. Rev. Lett. 80 5243 (1998) MATHCrossRefMathSciNetGoogle Scholar
  25. 25.
    C.M. Bender, D.C. Brody, H.F. Jones, Phys. Rev. Lett. 89 270401 (2002). Erratum-ibid. 92, 119902 (2004) CrossRefMathSciNetGoogle Scholar
  26. 26.
    A. Mostafazadeh, J. Math. Phys. 43, 3944 (2002) CrossRefADSMathSciNetGoogle Scholar
  27. 27.
    A. Mostafazadeh, J. Phys. A 38, 6557 (2005). Erratum-ibid. A 38, 8185 (2005). CrossRefADSMathSciNetGoogle Scholar
  28. 28.
    C.M. Bender, D.C. Brody, H.F. Jones, Phys. Rev. D 70, 025001 (2004). Erratum-ibid. D 71 049901 (2005). arXiv:hep-th/0402183 CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag / Società Italiana di Fisica 2008

Authors and Affiliations

  1. 1.University of S. PetersburgS. PetersburgRussia
  2. 2.Dip. di FisicaINFN—Sez. di BolognaBolognaItaly

Personalised recommendations