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@PHDTHESIS{Sprenger:170938,
      author       = {Sprenger, Martin},
      title        = {{H}igh-{E}nergy {S}cattering in strongly coupled
                      $\mathcal{{N}}=4$ super {Y}ang-{M}ills {T}heory},
      school       = {University of Hamburg},
      type         = {Dissertation},
      address      = {Hamburg},
      reportid     = {DESY-2014-03087, DESY-THESIS-2014-037},
      pages        = {114},
      year         = {2014},
      note         = {Dissertation, University of Hamburg, 2014},
      abstract     = {This thesis concerns itself with the analytic structure of
                      scattering amplitudes in stronglycoupled N = 4 super
                      Yang-Mills theory (abbreviated N = 4 SYM) in the
                      multi-Reggelimit. Through the AdS/CFT-correspondence
                      observables in strongly coupled N = 4 SYMare accessible via
                      dual calculations in a weakly coupled string theory on an
                      $AdS_5×S^5$ -geometry, in which observables can be
                      calculated using standard perturbation theory. Inparticular,
                      the calculation of the leading order of the n-gluon
                      amplitude in N = 4 SYMat strong coupling corresponds to the
                      calculation of a minimal surface embedded $intoAdS_5$ . This
                      surface ends on the concatenation of the gluon momenta,
                      which is a light-like curve. The calculation of the minimal
                      surface area can be reduced to finding thesolution of a set
                      of non-linear, coupled integral equations, which have no
                      analytic solutionin arbitrary kinematics. In this thesis, we
                      therefore specialise to the multi-Regge limit,the n-particle
                      generalisation of the Regge limit. This limit is especially
                      interesting as evenin the description of scattering
                      amplitudes in weakly coupled N = 4 SYM in this limit
                      acertain set of Feynman diagrams has to be resummed. This
                      description organises itself intoorders of logarithms of the
                      energy involved in the scattering process. In this
                      expansioneach order in logarithms includes terms from every
                      order in the coupling constant andtherefore contains
                      information about the strong coupling sector of the theory,
                      albeit in avery specific way. This raises the central
                      question of this thesis, which is how much of theanalytic
                      structure of the scattering amplitudes in the multi-Regge
                      limit is preserved as wego to the strong coupling regime. We
                      show that the equations governing the area of theminimal
                      surface simplify drastically in the multi-Regge limit, which
                      allows us to obtainanalytic results for the scattering
                      amplitudes. We develop an algorithm for the calculationof
                      scattering amplitudes in the multi-Regge limit and apply it
                      to the special cases of the 6-and 7-gluon amplitude. Our
                      results show that for the cases under study the
                      factorisationof the amplitude as predicted by Regge theory
                      is also preserved in the strong couplinglimit.},
      keywords     = {Dissertation (GND)},
      cin          = {T},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {514 - Theoretical Particle Physics (POF2-514)},
      pid          = {G:(DE-HGF)POF2-514},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)11},
      doi          = {10.3204/DESY-2014-03087},
      url          = {https://bib-pubdb1.desy.de/record/170938},
}