Scattering amplitudes in gauge theory and gravity / Henriette Elvang, University of Michigan, Ann Arbor, Yu-tin Huang, National Taiwan University.

Format:

Book

Author/Creator:

Elvang, Henriette, 1976- author.

Huang, Yu-tin, author.

Language:

English

Subjects (All):

Scattering amplitude (Nuclear physics).

Gauge fields (Physics)--Mathematics.

Gauge fields (Physics).

Physical Description:

1 online resource (xii, 323 pages) : digital, PDF file(s).

Other Title:

Scattering Amplitudes in Gauge Theory & Gravity

Place of Publication:

Cambridge : Cambridge University Press, 2015.

Language Note:

English

Summary:

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 knowledge of quantum field theory to the frontier of modern research. Building on basic quantum field theory, 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 demonstrate the techniques discussed, and over 150 exercises help readers absorb and master the material.

Contents:

Machine generated contents note: 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.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references and index.

ISBN:

1-316-19142-7

1-316-18958-9

1-107-70662-9