equation 8.5 eq:cpx-cr

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Supports

• depends_on theorem 8.12 Cauchy ¶
  • depends_on corollary 8.15 Deformation of contours ¶
    • depends_on lemma 106.1 The short-time kernel ¶
      • depends_on theorem 106.3 Feynman's sum over histories ¶
        • depends_on phenomenon 106.5 The Aharonov–Bohm effect ¶
        • depends_on theorem 106.16 Feynman–Kac ¶
    • depends_on theorem 8.16 Cauchy integral formula ¶
      • depends_on theorem 8.17 Derivatives of all orders; Cauchy estimates ¶
        • depends_on theorem 8.18 Liouville ¶
      • depends_on theorem 8.21 Laurent expansion ¶
        • depends_on definition 8.22 Isolated singularities; residue ¶
        • depends_on theorem 8.24 Residue theorem ¶
    • depends_on theorem 8.21 Laurent expansion ¶ ↺
    • depends_on theorem 8.24 Residue theorem ¶ ↺
  • depends_on corollary 17.71 Residue evaluation and causality ¶
    • depends_on corollary 17.76 Heaviside's expansion theorem ¶
    • depends_on proposition 17.77 Poles and stability ¶
  • depends_on lemma 100.27 Wick rotation ¶
    • depends_on lemma 100.28 The $d$-dimensional loop integral ¶
      • depends_on proposition 106.45 One-loop effective potential ¶
      • depends_on theorem 100.35 One-loop electron self-energy ¶
        • depends_on phenomenon 100.66 The Lamb shift ¶
      • depends_on theorem 100.31 One-loop vacuum polarization ¶
        • depends_on phenomenon 100.69 Light scatters off light ¶
  • depends_on proposition 106.14 The Feynman contour permits the rotation ¶
  • depends_on theorem 17.78 Causality implies dispersion relations ¶
    • depends_on remark 33.10 Fibre anelasticity, and why it biases one method and not the other ¶
    • depends_on remark 28.26 Causality is visible in the susceptibility ¶
    • depends_on remark 28.62 Neither velocity is a speed limit ¶
  • depends_on theorem 17.94 Mellin inversion ¶
    • depends_on proposition 17.96 Poles give asymptotics ¶
    • depends_on theorem 17.100 Moments diagonalise a convolution evolution ¶
      • depends_on corollary 17.101 Coupled channels ¶