Scattering Amplitudes in Gauge Theory and Gravity

Inbunden, Engelska, 2015

Av Henriette Elvang, Yu-tin Huang, Ann Arbor) Elvang, Henriette (University of Michigan, Yu-tin (National Taiwan University) Huang, Yu-Tin Huang

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Providing a comprehensive, pedagogical introduction to scattering amplitudes in gauge theory and gravity, this book is ideal for graduate students and researchers. It offers a smooth transition from basic quantum field theory to the frontier of modern research. The book starts with an introduction to the spinor helicity formalism in the context of Feynman rules for tree-level amplitudes. The material covered includes on-shell recursion relations, superamplitudes, symmetries of N=4 super Yang-Mills theory, twistors and momentum twistors, Grassmannians, and polytopes. The presentation also covers amplitudes in perturbative supergravity, 3D Chern-Simons matter theories, and color-kinematics duality and its connection to 'gravity=(gauge theory)x(gauge theory)'. Basic knowledge of Feynman rules in scalar field theory and quantum electrodynamics is assumed, but all other tools are introduced as needed. Worked examples and more than 150 exercises are included. This title is also available as open access on Cambridge Core.

Produktinformation

Utgivningsdatum2015-02-05
Mått195 x 255 x 20 mm
Vikt890 g
FormatInbunden
SpråkEngelska
Antal sidor323
FörlagCambridge University Press
ISBN9781107069251

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Henriette Elvang is Associate Professor in the Department of Physics, University of Michigan. She has worked on various aspects of high energy theoretical physics, including black holes in string theory, scattering amplitudes, and the structure of gauge theories. Yu-tin Huang is Assistant Professor at the National Taiwan University. He is known for his work in the study of scattering amplitudes beyond four dimensions, most notably in 3-dimensional Chern–Simons matter theory.

Preface; 1. Introduction; Part I. Trees: 2. Spinor helicity formalism; 3. On-shell recursion relations at tree-level; 4. Supersymmetry; 5. Symmetries of N = 4 SYM; Part II. Loops: 6. Loop amplitudes and generalized unitarity; 7. BCFW recursion for loops; 8. Leading singularities and on-shell diagrams; Part III. Topics: 9. Grassmannia; 10. Polytopes; 11. Amplitudes beyond four dimensions; 12. Supergravity amplitudes; 13. A colorful duality; 14. Further reading; Appendix; References; Index.

'In recent years, a series of surprising insights and new methods have transformed the understanding of gauge and gravitational scattering amplitudes. These advances are important both for practical calculations in particle physics, and for the fundamental structure of relativistic quantum theory. Elvang and Huang have written the first comprehensive text on this subject, and their clear and pedagogical approach will make these new ideas accessible to a wide range of students.' Joseph Polchinski, University of California, Santa Barbara