## Topics in quantum field theories: anomalous magnetic moment of the muon and planar random surfaces on the lattice |

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### Contents

Introduction and Summary | 60 |

Random Walks and Random Surfaces | 63 |

Monte Carlo Studies of Planar Random Surfaces | 73 |

3 other sections not shown

### Common terms and phrases

4A XA anomalous magnetic arrows are suppressed charge conjugation Combinatoric Factor Contribution continuum limit correspond critical exponent critical point depicted as dual Diagram Combinatoric Factor diagrams contributing diagrams in Fig dual diagrams evaluated Fermilab Feynman diagrams Figure II.12 finite fourth-order free random walks gauge system Green's function hadronic contribution hadronic light-by-light scattering hadronic vacuum polarization Hausdorff dimension integral itera Kinoshita l/d expansion large-d limit large-rf lattice Lett momentum Monte Carlo studies muon anomaly due number of planar obtained one-by-one Wilson loop one-by-zero Wilson loop Order Diagram Combinatoric order l/d parametric functions photon Phys planar random surfaces scalar field theory scalar QED scattering amplitude self-consistency equation Self-energy diagrams spin systems string tension strong coupling expansion subgroups systematic error Table I.3 theoretical thesis vacuum polarization contribution vector meson vertex diagrams virial theorem Ward-Takahashi identity Wilson loop amplitude Wilson loop depicted XA 2A