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MelDissertation.out
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\BOOKMARK [0][]{section*.2}{ List of Figures}{}% 1
\BOOKMARK [0][]{section*.4}{ Acknowledgements}{}% 2
\BOOKMARK [0][]{chapter.1}{1 Introduction}{}% 3
\BOOKMARK [0][]{chapter.2}{2 Dissertation Outline}{}% 4
\BOOKMARK [0][]{chapter.3}{3 Historical Overview}{}% 5
\BOOKMARK [1][-]{section.3.1}{3.1 Regge Scattering}{chapter.3}% 6
\BOOKMARK [1][-]{section.3.2}{3.2 Perturbative First-Quantization}{chapter.3}% 7
\BOOKMARK [1][-]{section.3.3}{3.3 Alday-Maldacena Theory}{chapter.3}% 8
\BOOKMARK [0][]{chapter.4}{4 Nonrelativistic Path Integrals}{}% 9
\BOOKMARK [1][-]{section.4.1}{4.1 Quantum Kernels}{chapter.4}% 10
\BOOKMARK [1][-]{section.4.2}{4.2 S-Matrix}{chapter.4}% 11
\BOOKMARK [1][-]{section.4.3}{4.3 Semiclassical Kernels}{chapter.4}% 12
\BOOKMARK [2][-]{subsection.4.3.1}{4.3.1 Semiclassical S-Matrix}{section.4.3}% 13
\BOOKMARK [1][-]{section.4.4}{4.4 Semiclassical Eikonal Kernels}{chapter.4}% 14
\BOOKMARK [2][-]{subsection.4.4.1}{4.4.1 Semiclassical Eikonal S-Matrix}{section.4.4}% 15
\BOOKMARK [1][-]{section.4.5}{4.5 Many-body Systems}{chapter.4}% 16
\BOOKMARK [0][]{chapter.5}{5 Eikonal Coulomb Scattering}{}% 17
\BOOKMARK [1][-]{section.5.1}{5.1 Eikonal Kernel}{chapter.5}% 18
\BOOKMARK [2][-]{subsection.5.1.1}{5.1.1 Eikonal Van Vleck Function}{section.5.1}% 19
\BOOKMARK [2][-]{subsection.5.1.2}{5.1.2 Eikonal Van Vleck Matrix}{section.5.1}% 20
\BOOKMARK [1][-]{section.5.2}{5.2 Semiclassical Eikonal S-Matrix}{chapter.5}% 21
\BOOKMARK [0][]{chapter.6}{6 Classical Relativistic Particles}{}% 22
\BOOKMARK [1][-]{section.6.1}{6.1 Free System}{chapter.6}% 23
\BOOKMARK [1][-]{section.6.2}{6.2 Coupling to External Fields}{chapter.6}% 24
\BOOKMARK [1][-]{section.6.3}{6.3 Semiclassical Dimensional Analysis}{chapter.6}% 25
\BOOKMARK [0][]{chapter.7}{7 Relativistic Path Integrals}{}% 26
\BOOKMARK [1][-]{section.7.1}{7.1 Quantum Kernels}{chapter.7}% 27
\BOOKMARK [1][-]{section.7.2}{7.2 S-Matrix}{chapter.7}% 28
\BOOKMARK [1][-]{section.7.3}{7.3 Semiclassical Kernels}{chapter.7}% 29
\BOOKMARK [2][-]{subsection.7.3.1}{7.3.1 Semiclassical S-Matrix}{section.7.3}% 30
\BOOKMARK [1][-]{section.7.4}{7.4 Semiclassical Eikonal Kernels}{chapter.7}% 31
\BOOKMARK [1][-]{section.7.5}{7.5 Many-body Systems}{chapter.7}% 32
\BOOKMARK [0][]{chapter.8}{8 Four-Point Scattering of Scalars}{}% 33
\BOOKMARK [1][-]{section.8.1}{8.1 Massless Scalar Exchange}{chapter.8}% 34
\BOOKMARK [2][-]{subsection.8.1.1}{8.1.1 Eikonal Van Vleck Function}{section.8.1}% 35
\BOOKMARK [2][-]{subsection.8.1.2}{8.1.2 Eikonal Van Vleck Matrix}{section.8.1}% 36
\BOOKMARK [2][-]{subsection.8.1.3}{8.1.3 Eikonal S-Matrix}{section.8.1}% 37
\BOOKMARK [2][-]{subsection.8.1.4}{8.1.4 Perturbative Amplitudes}{section.8.1}% 38
\BOOKMARK [2][-]{subsection.8.1.5}{8.1.5 Bound States in Four Dimensions}{section.8.1}% 39
\BOOKMARK [1][-]{section.8.2}{8.2 Massless Vector Exchange}{chapter.8}% 40
\BOOKMARK [2][-]{subsection.8.2.1}{8.2.1 Eikonal Van Vleck Function}{section.8.2}% 41
\BOOKMARK [2][-]{subsection.8.2.2}{8.2.2 Eikonal S-Matrix}{section.8.2}% 42
\BOOKMARK [2][-]{subsection.8.2.3}{8.2.3 Bound States in Four Dimensions}{section.8.2}% 43
\BOOKMARK [1][-]{section.8.3}{8.3 Massless Symmetric Tensor Exchange}{chapter.8}% 44
\BOOKMARK [2][-]{subsection.8.3.1}{8.3.1 Eikonal Van Vleck Function}{section.8.3}% 45
\BOOKMARK [2][-]{subsection.8.3.2}{8.3.2 Eikonal S-Matrix}{section.8.3}% 46
\BOOKMARK [2][-]{subsection.8.3.3}{8.3.3 Bound States in Four Dimensions}{section.8.3}% 47
\BOOKMARK [1][-]{section.8.4}{8.4 Massive Scalar Exchange}{chapter.8}% 48
\BOOKMARK [2][-]{subsection.8.4.1}{8.4.1 Eikonal Van Vleck Function}{section.8.4}% 49
\BOOKMARK [2][-]{subsection.8.4.2}{8.4.2 Eikonal S-Matrix}{section.8.4}% 50
\BOOKMARK [2][-]{subsection.8.4.3}{8.4.3 Perturbative Amplitudes}{section.8.4}% 51
\BOOKMARK [0][]{chapter.9}{9 Discussion and Outlook}{}% 52
\BOOKMARK [1][-]{section.9.1}{9.1 Discussion}{chapter.9}% 53
\BOOKMARK [1][-]{section.9.2}{9.2 Outlook}{chapter.9}% 54
\BOOKMARK [0][]{section*.38}{ Bibliography}{}% 55
\BOOKMARK [0][]{appendix.A}{A Relativistic Free Scalar Matter}{}% 56
\BOOKMARK [1][-]{section.A.1}{A.1 Massive Scalar Particle}{appendix.A}% 57
\BOOKMARK [2][-]{subsection.A.1.1}{A.1.1 Semiclassical Kernel}{section.A.1}% 58
\BOOKMARK [2][-]{subsection.A.1.2}{A.1.2 Quantum Kernel}{section.A.1}% 59
\BOOKMARK [1][-]{section.A.2}{A.2 Massless Scalar Particle}{appendix.A}% 60
\BOOKMARK [0][]{appendix.B}{B Momentum Invariants}{}% 61
\BOOKMARK [1][-]{section.B.1}{B.1 Mandelstam Invariants}{appendix.B}% 62
\BOOKMARK [2][-]{subsection.B.1.1}{B.1.1 Two-quanta}{section.B.1}% 63
\BOOKMARK [2][-]{subsection.B.1.2}{B.1.2 Three-quanta}{section.B.1}% 64
\BOOKMARK [1][-]{section.B.2}{B.2 Gram Invariants}{appendix.B}% 65
\BOOKMARK [2][-]{subsection.B.2.1}{B.2.1 Two-quanta}{section.B.2}% 66
\BOOKMARK [2][-]{subsection.B.2.2}{B.2.2 Three-quanta}{section.B.2}% 67
\BOOKMARK [0][]{appendix.C}{C Four-point Scalar Kinematics}{}% 68
\BOOKMARK [1][-]{section.C.1}{C.1 Momentum Invariants}{appendix.C}% 69
\BOOKMARK [2][-]{subsection.C.1.1}{C.1.1 Mandelstam Invariants}{section.C.1}% 70
\BOOKMARK [2][-]{subsection.C.1.2}{C.1.2 Gram Invariants}{section.C.1}% 71
\BOOKMARK [1][-]{section.C.2}{C.2 Center-of-Momentum Frame}{appendix.C}% 72
\BOOKMARK [2][-]{subsection.C.2.1}{C.2.1 Physical Scattering Region}{section.C.2}% 73
\BOOKMARK [1][-]{section.C.3}{C.3 Crossing}{appendix.C}% 74
\BOOKMARK [1][-]{section.C.4}{C.4 Types of Scattering Regimes}{appendix.C}% 75
\BOOKMARK [2][-]{subsection.C.4.1}{C.4.1 Forward Scattering}{section.C.4}% 76
\BOOKMARK [2][-]{subsection.C.4.2}{C.4.2 Backward Scattering}{section.C.4}% 77
\BOOKMARK [2][-]{subsection.C.4.3}{C.4.3 Fixed-angle Scattering}{section.C.4}% 78
\BOOKMARK [2][-]{subsection.C.4.4}{C.4.4 Regge Scattering}{section.C.4}% 79
\BOOKMARK [0][]{appendix.D}{D Gamma, Beta, Zeta, Etcetera}{}% 80
\BOOKMARK [1][-]{section.D.1}{D.1 Riemann zeta}{appendix.D}% 81
\BOOKMARK [1][-]{section.D.2}{D.2 Euler Gamma}{appendix.D}% 82
\BOOKMARK [1][-]{section.D.3}{D.3 Euler Beta}{appendix.D}% 83
\BOOKMARK [1][-]{section.D.4}{D.4 Binomial}{appendix.D}% 84
\BOOKMARK [0][]{appendix.E}{E Fourier Transforms}{}% 85