Dualities, helicity amplitudes, and little conformal symmetry. (2017)

• Record Type: Book
• Further Information: Note: Kitran Macey M. Colwell.
• Other Names: Colwell, Kitran Macey M, 1986-
• Contents: Supervisor's Foreword; Acknowledgments; Parts of this thesis have been published in the following journal articles: ; Contents; 1 Electromagnetic Duality; 1.1 Introduction; 1.2 Dirac Monopoles; 1.2.1 Quantization Condition; 1.2.2 Lorentz Breaking and Nonlocality; 1.3 Two-Potential Formalism; 1.3.1 Zwanziger's Lagrangian; 1.3.2 Gauge Fixing; 1.3.3 Feynman Rules and Polarization Vectors; 1.3.4 Zwanziger Calculus and n-Independence; 1.3.5 Conformal Invariance; 1.4 Dyons; 1.4.1 Dirac-Zwanziger-Schwinger Quantization. 1.4.2 The Witten Effect1.5 SL(2, Z) Duality; 1.5.1 Introduction; 1.5.2 Holomorphic Lagrangian; 1.5.3 The Modular Group; 1.5.4 Anomalies and Beta Functions; 1.6 Charge Fractionalization; 1.7 Electric Dipole Moments; References; 2 Spinor Helicity Formalism; 2.1 Introduction; 2.2 Little Group Scaling; 2.3 Massive Spinor Helicities; References; 3 Non-Abelian Monopoles; 3.1 't Hooft-Polyakov Monopoles; 3.2 Wu-Yang Monopoles; 3.3 Julia-Zee Dyons; 3.4 Kaluza-Klein Monopoles. 3.5 Non-Abelian Fractionalization and Quantization ConditionReferences; 4 Scattering Amplitudes; 4.1 Introduction; 4.2 Light-by-Light Scattering; 4.2.1 Euler-Heisenberg Lagrangian; 4.2.2 Higher Orders; 4.2.3 High Energy Breakdown; 4.3 Seiberg-Witten Theory; 4.4 Dyon-Dyon Scattering; 4.4.1 Introduction; 4.4.2 Monopole Harmonics; 4.4.2.1 Scalars Near Monopoles; 4.4.2.2 Fermions Near Monopoles; 4.4.3 Scattering Amplitudes; 4.4.3.1 Lorentz Transformations; 4.4.3.2 Field Polarization Vectors. 4.4.4 Spinor Helicity Construction4.4.4.1 Field Polarization Spinors; 4.4.5 Amplitude Calculation; 4.4.6 Perturbativity; 4.4.7 Lorentz Algebra Calculation; References; 5 Little Conformal Symmetry; 5.1 Introduction; 5.2 A Toy Model; 5.3 A More Realistic Toy Model; 5.4 Conclusions; References; Appendix A Light-by-Light Scattering; A.1 Karplus-Neuman Calculation; A.1.1 Massless Regime; A.2 Euler-Heisenberg Calculation; A.3 Standard Calculation; A.4 Field Strength Identities; Appendix B Spinor Helicity Identities. B.1 Pauli Matrix IdentitiesB. 2 Spinor Products; B.3 Center-of-Momentum Helicity Spinors; B.3.1 Massless Momenta; B.3.2 Massive Momenta; Appendix C UV Matter Content; References; Curriculum Vitae.
• Publisher Details: Cham : Springer
• Publication Date: 2017
• Extent: 1 online resource (116 pages)
• Subjects: 539.7/25; 530; Physics; Symmetry (Physics); Particles (Nuclear physics) -- Helicity; SCIENCE -- Physics -- Quantum Theory; Particles (Nuclear physics) -- Helicity; Symmetry (Physics); Science -- Quantum Theory; Science -- Mathematical Physics; Science -- Molecular Physics; Quantum physics (quantum mechanics & quantum field theory); Mathematical physics; Nuclear physics; Quantum theory; Science -- Nuclear Physics; Electronic books
• Languages: English
• ISBNs: 9783319673929; 3319673920
• Related ISBNs: 9783319673912; 3319673912
• Notes: Note: Includes bibliographical references and index.; Note: Print version record.
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• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.