Advertisement

Scattering and Unitarity Methods in Two Dimensions

  • Valentina ForiniEmail author
  • Lorenzo Bianchi
  • Ben Hoare
Chapter
Part of the Springer Proceedings in Physics book series (SPPHY, volume 170)

Abstract

The standard unitarity-cut method is applied to several massive two-dimensional models, including the world-sheet AdS\(_5 \times S^5\) superstring, to compute \(2\rightarrow 2\) scattering S-matrices at one loop from tree level amplitudes. Evidence is found for the cut-constructibility of supersymmetric models, while for models without supersymmetry (but integrable) the missing rational terms can be interpreted as a shift in the coupling.

Keywords

Unitarity Method Pohlmeyer Reduction Standard Perturbation Theory Tree Level Matrix Element Asymptotic Bethe Equation 
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.

References

  1. 1.
    L.J. Dixon (1996)Google Scholar
  2. 2.
    H. Elvang, Y.t. Huang (2013)Google Scholar
  3. 3.
    W.M. Chen, Y.t. Huang, JHEP 1111, 057 (2011). doi: 10.1007/JHEP11(2011)057
  4. 4.
    S. Caron-Huot, Y.t. Huang, JHEP 1303, 075 (2013). doi: 10.1007/JHEP03(2013)075
  5. 5.
    L. Bianchi, M.S. Bianchi (2013)Google Scholar
  6. 6.
    L. Bianchi, V. Forini, B. Hoare, JHEP 1307, 088 (2013). doi: 10.1007/JHEP07(2013)088
  7. 7.
    O.T. Engelund, R.W. McKeown, R. Roiban (2013)Google Scholar
  8. 8.
    Z. Bern, L.J. Dixon, D.C. Dunbar, D.A. Kosower, Nucl. Phys. B 425, 217 (1994). doi: 10.1016/0550-3213(94)90179-1 MathSciNetCrossRefADSzbMATHGoogle Scholar
  9. 9.
    T.J. Hollowood, J.L. Miramontes, Q.H. Park, Nucl. Phys. B 445, 451 (1995). doi: 10.1016/0550-3213(95)00142-F MathSciNetCrossRefADSzbMATHGoogle Scholar
  10. 10.
    I. Bakas, Q.H. Park, H.J. Shin, Phys. Lett. B 372, 45 (1996). doi: 10.1016/0370-2693(96)00026-3
  11. 11.
    A.B. Zamolodchikov, A.B. Zamolodchikov, Ann. Phys. 120, 253 (1979). doi: 10.1016/0003-4916(79)90391-9 MathSciNetCrossRefADSGoogle Scholar
  12. 12.
    N. Dorey, T.J. Hollowood, Nucl. Phys. B 440, 215 (1995). doi: 10.1016/0550-3213(95)00074-3
  13. 13.
    E. Witten, Commun. Math. Phys. 92, 455 (1984). doi: 10.1007/BF01215276
  14. 14.
    B. Hoare, A. Tseytlin, JHEP 1011, 111 (2010). doi: 10.1007/JHEP11(2010)111 MathSciNetCrossRefADSGoogle Scholar
  15. 15.
    M. Grigoriev, A.A. Tseytlin, Nucl. Phys. B 800, 450 (2008). doi: 10.1016/j.nuclphysb.2008.01.006 MathSciNetCrossRefADSzbMATHGoogle Scholar
  16. 16.
    A. Mikhailov, S. Schafer-Nameki, JHEP 0805, 075 (2008). doi: 10.1088/1126-6708/2008/05/075 MathSciNetCrossRefADSGoogle Scholar
  17. 17.
    M. Grigoriev, A.A. Tseytlin, Int. J. Mod. Phys. A 23, 2107 (2008). doi: 10.1142/S0217751X08040652 MathSciNetCrossRefADSzbMATHGoogle Scholar
  18. 18.
    R. Shankar, E. Witten, Phys. Rev. D 17, 2134 (1978). doi: 10.1103/PhysRevD.17.2134 CrossRefADSGoogle Scholar
  19. 19.
    R. Roiban, A.A. Tseytlin, JHEP 0904, 078 (2009). doi: 10.1088/1126-6708/2009/04/078 MathSciNetCrossRefADSGoogle Scholar
  20. 20.
    B. Hoare, A. Tseytlin, JHEP 1002, 094 (2010). doi: 10.1007/JHEP02(2010)094 MathSciNetCrossRefADSGoogle Scholar
  21. 21.
    B. Hoare, A. Tseytlin, Nucl. Phys. B 851, 161 (2011). doi: 10.1016/j.nuclphysb.2011.05.016 MathSciNetCrossRefADSzbMATHGoogle Scholar
  22. 22.
    K.i. Kobayashi, T. Uematsu, Phys. Lett. B 275, 361 (1992). doi: 10.1016/0370-2693(92)91603-7
  23. 23.
    B.Hoare, T.J. Hollowood, J.L. Miramontes (2013)Google Scholar
  24. 24.
    J. Callan, G. Curtis, H.K. Lee, T. McLoughlin, J.H. Schwarz, I. Swanson et al. Nucl. Phys. B 673, 3 (2003). doi: 10.1016/j.nuclphysb.2003.09.008
  25. 25.
    N. Beisert, Adv. Theor. Math. Phys. 12, 945 (2008)MathSciNetCrossRefGoogle Scholar
  26. 26.
    G. Arutyunov, S. Frolov, M. Staudacher, JHEP 0410, 016 (2004). doi: 10.1088/1126-6708/2004/10/016 MathSciNetCrossRefADSGoogle Scholar
  27. 27.
    R.A. Janik, Phys. Rev. D 73, 086006 (2006). doi: 10.1103/PhysRevD.73.086006 MathSciNetCrossRefADSGoogle Scholar
  28. 28.
    D. Volin, J. Phys. A 42, 372001 (2009). doi: 10.1088/1751-8113/42/37/372001 MathSciNetCrossRefGoogle Scholar
  29. 29.
    N. Beisert, R. Hernandez, E. Lopez, JHEP 0611, 070 (2006). doi: 10.1088/1126-6708/2006/11/070 MathSciNetCrossRefADSGoogle Scholar
  30. 30.
    N. Beisert, B. Eden, M. Staudacher, J. Stat. Mech. 0701, P01021 (2007). doi: 10.1088/1742-5468/2007/01/P01021 Google Scholar
  31. 31.
    T. Klose, T. McLoughlin, R. Roiban, K. Zarembo, JHEP 0703, 094 (2007). doi: 10.1088/1126-6708/2007/03/094 MathSciNetCrossRefADSGoogle Scholar
  32. 32.
    T. Klose, K. Zarembo, JHEP 0702, 071 (2007). doi: 10.1088/1126-6708/2007/02/071 MathSciNetCrossRefADSGoogle Scholar
  33. 33.
    T. Klose, T. McLoughlin, J. Minahan, K. Zarembo, JHEP 0708, 051 (2007). doi: 10.1088/1126-6708/2007/08/051 MathSciNetCrossRefADSGoogle Scholar
  34. 34.
    J.M. Maldacena, I. Swanson, Phys. Rev. D 76, 026002 (2007). doi: 10.1103/PhysRevD.76.026002 CrossRefADSGoogle Scholar
  35. 35.
    V. Giangreco, M. Puletti, T. Klose, O. Ohlsson, Sax. Nucl. Phys. B 792, 228 (2008). doi: 10.1016/j.nuclphysb.2007.09.018
  36. 36.
    G. Arutyunov, S. Frolov, M. Zamaklar, Nucl. Phys. B 778, 1 (2007). doi: 10.1016/j.nuclphysb.2006.12.026 MathSciNetCrossRefADSzbMATHGoogle Scholar
  37. 37.
    N. Beisert, V. Dippel, M. Staudacher, JHEP 0407, 075 (2004). doi: 10.1088/1126-6708/2004/07/075 MathSciNetCrossRefADSGoogle Scholar
  38. 38.
    G. Arutyunov, S. Frolov, J. Phys. A 42, 254003 (2009). doi: 10.1088/1751-8113/42/25/254003 MathSciNetCrossRefADSGoogle Scholar
  39. 39.
    G. Arutyunov, S. Frolov, M. Zamaklar, JHEP 0704, 002 (2007). doi: 10.1088/1126-6708/2007/04/002 MathSciNetCrossRefADSGoogle Scholar
  40. 40.
    C. Ahn, R.I. Nepomechie, Lett. Math. Phys. 99, 209 (2012). doi: 10.1007/s11005-011-0478-9 MathSciNetCrossRefADSzbMATHGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Institut für Physik und Integrative Research Institute for the Sciences IRIS AdlershofHumboldt-Universität zu BerlinBerlinGermany

Personalised recommendations