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Scattering Amplitudes in Gauge Theory and Gravity

Scattering Amplitudes in Gauge Theory and Gravity PDF Author: Henriette Elvang
Publisher: Cambridge University Press
ISBN: 1107069254
Category : Science
Languages : en
Pages : 337

Book Description
This book provides a comprehensive, pedagogical introduction to scattering amplitudes in gauge theory and gravity for graduate students.

Scattering Amplitudes in Gauge Theory and Gravity

Scattering Amplitudes in Gauge Theory and Gravity PDF Author: Henriette Elvang
Publisher: Cambridge University Press
ISBN: 1107069254
Category : Science
Languages : en
Pages : 337
Book Description
This book provides a comprehensive, pedagogical introduction to scattering amplitudes in gauge theory and gravity for graduate students.

Scattering Amplitudes in Gauge Theory and Gravity

Scattering Amplitudes in Gauge Theory and Gravity PDF Author: Henriette Elvang
Publisher: Cambridge University Press
ISBN: 1316195139
Category : Science
Languages : en
Pages :
Book Description
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.

Scattering Amplitudes in Gauge Theories

Scattering Amplitudes in Gauge Theories PDF Author: Johannes M. Henn
Publisher: Springer
ISBN: 3642540228
Category : Science
Languages : en
Pages : 195
Book Description
At the fundamental level, the interactions of elementary particles are described by quantum gauge field theory. The quantitative implications of these interactions are captured by scattering amplitudes, traditionally computed using Feynman diagrams. In the past decade tremendous progress has been made in our understanding of and computational abilities with regard to scattering amplitudes in gauge theories, going beyond the traditional textbook approach. These advances build upon on-shell methods that focus on the analytic structure of the amplitudes, as well as on their recently discovered hidden symmetries. In fact, when expressed in suitable variables the amplitudes are much simpler than anticipated and hidden patterns emerge. These modern methods are of increasing importance in phenomenological applications arising from the need for high-precision predictions for the experiments carried out at the Large Hadron Collider, as well as in foundational mathematical physics studies on the S-matrix in quantum field theory. Bridging the gap between introductory courses on quantum field theory and state-of-the-art research, these concise yet self-contained and course-tested lecture notes are well-suited for a one-semester graduate level course or as a self-study guide for anyone interested in fundamental aspects of quantum field theory and its applications. The numerous exercises and solutions included will help readers to embrace and apply the material present ed in the main text.

Modern Analytic Methods for Computing Scattering Amplitudes

Modern Analytic Methods for Computing Scattering Amplitudes PDF Author: Simone Zoia
Publisher: Springer Nature
ISBN: 3031019458
Category : Science
Languages : en
Pages : 221
Book Description
This work presents some essential techniques that constitute the modern strategy for computing scattering amplitudes. It begins with an introductory chapter to fill the gap between a standard QFT course and the latest developments in the field. The author then tackles the main bottleneck: the computation of the loop Feynman integrals. The most efficient technique for their computation is the method of the differential equations. This is discussed in detail, with a particular focus on the mathematical aspects involved in the derivation of the differential equations and their solution. Ample space is devoted to the special functions arising from the differential equations, to their analytic properties, and to the mathematical techniques which allow us to handle them systematically. The thesis also addresses the application of these techniques to a cutting-edge problem of importance for the physics programme of the Large Hadron Collider: five-particle amplitudes at two-loop order. It presents the first analytic results for complete two-loop five-particle amplitudes, in supersymmetric theories and QCD. The techniques discussed here open the door to precision phenomenology for processes of phenomenological interest, such as three-photon, three-jet, and di-photon + jet production.

Grassmannian Geometry of Scattering Amplitudes

Grassmannian Geometry of Scattering Amplitudes PDF Author: Nima Arkani-Hamed
Publisher: Cambridge University Press
ISBN: 1107086582
Category : Mathematics
Languages : en
Pages : 205
Book Description
An essential guide to peturbative quantum field theory and its connection to Grassmannian geometry.

Integrability: From Statistical Systems to Gauge Theory

Integrability: From Statistical Systems to Gauge Theory PDF Author: Patrick Dorey
Publisher: Oxford University Press
ISBN: 0192563319
Category : Science
Languages : en
Pages : 608
Book Description
This volume, 106 of the Les Houches Summer School series, brings together applications of integrability to supersymmetric gauge and string theory. The book focuses on the application of integrability and problems in quantum field theory. Particular emphasis is given to the exact solution of planar N=4 super-Yang-Mills theory and its relation with string theory on the one hand, and the exact determination of the low-energy physics of N=2 super-Yang-Mills theories on the other; links with other domains are also explored. The purpose of the Les Houches Summer School was to bring together young researchers and specialists from statistical physics, condensed matter physics, gauge and string theory, and mathematics, to stimulate discussion across these different research areas.

Journeys Through The Precision Frontier: Amplitudes For Colliders (Tasi 2014) - Proceedings Of The 2014 Theoretical Advanced Study Institute In Elementary Particle Physics

Journeys Through The Precision Frontier: Amplitudes For Colliders (Tasi 2014) - Proceedings Of The 2014 Theoretical Advanced Study Institute In Elementary Particle Physics PDF Author: Dixon Lance
Publisher: World Scientific
ISBN: 9814678775
Category : Science
Languages : en
Pages : 636
Book Description
This volume is a compilation of the lectures at TASI 2014. The coverage focuses on modern calculational techniques for scattering amplitudes, and on the phenomenology of QCD in hadronic collisions. Introductions to flavor physics, dark matter, and physics beyond the Standard Model are also provided. The lectures are accessible to graduate students at the initial stages of their research careers.

Anticipating the Next Discoveries in Particle Physics

Anticipating the Next Discoveries in Particle Physics PDF Author: Essig Rouven
Publisher: World Scientific
ISBN: 9813233354
Category : Science
Languages : en
Pages : 636
Book Description
This volume is a compilation of lectures delivered at the TASI 2016 summer school, 'Anticipating the Next Discoveries in Particle Physics', held at the University of Colorado at Boulder in June 2016. The school focused on topics in theoretical particle physics, phenomenology, dark matter, and cosmology of interest to contemporary researchers in these fields. The lectures are accessible to graduate students in the initial stages of their research careers.

Space – Time – Matter

Space – Time – Matter PDF Author: Jochen Brüning
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110452154
Category : Mathematics
Languages : en
Pages : 517
Book Description
This monograph describes some of the most interesting results obtained by the mathematicians and physicists collaborating in the CRC 647 "Space – Time – Matter", in the years 2005 - 2016. The work presented concerns the mathematical and physical foundations of string and quantum field theory as well as cosmology. Important topics are the spaces and metrics modelling the geometry of matter, and the evolution of these geometries. The partial differential equations governing such structures and their singularities, special solutions and stability properties are discussed in detail. Contents Introduction Algebraic K-theory, assembly maps, controlled algebra, and trace methods Lorentzian manifolds with special holonomy – Constructions and global properties Contributions to the spectral geometry of locally homogeneous spaces On conformally covariant differential operators and spectral theory of the holographic Laplacian Moduli and deformations Vector bundles in algebraic geometry and mathematical physics Dyson–Schwinger equations: Fix-point equations for quantum fields Hidden structure in the form factors ofN = 4 SYM On regulating the AdS superstring Constraints on CFT observables from the bootstrap program Simplifying amplitudes in Maxwell-Einstein and Yang-Mills-Einstein supergravities Yangian symmetry in maximally supersymmetric Yang-Mills theory Wave and Dirac equations on manifolds Geometric analysis on singular spaces Singularities and long-time behavior in nonlinear evolution equations and general relativity

Commemorating the Past and Looking Towards the Future

Commemorating the Past and Looking Towards the Future PDF Author: Ngee-Pong Chang
Publisher: World Scientific
ISBN: 9814487759
Category : Science
Languages : en
Pages : 376
Book Description
This book is not just a conference proceedings covering the full spectrum of physics disciplines. It is also a historic retrospective on the past generation of giants in Chinese physics. It covers the historical tributes by Nobel Laureates Lee and Yang and others to the life and works of Professors Ta-You Wu, Chien-Shiung Wu and Xie Xi-de. In the words of the title in Chinese, as we drink the water let us ponder the source. Contents:Plenary Sessions:T Y Wu Memorial SessionC S Wu Memorial SessionXie Xi-De Memorial SessionCondensed Matter Physics:Imaging Electron Fringes on a Quantum Wedge (D Chen)A Proposal for AC Magnetic Guide and Trap of Cold Atoms (L Xu et al.)High Energy and Nuclear Physics:From BEVALAC to AGS (S-Y Fung)Rare Kaon Decays (C-Q Geng)The Glue Inside a Very Large Nucleus (C-S Lam)Theoretical Physics and Statistical Mechanics:Recent Developments in M Physics (G Shiu)Flat-Histogram and Free Energy Calculation (J-S Wang)Astrophysics and Plasma Physics:Warm Dark Matter Model of Galaxy Formation (Y P Jing)The Baryon Fractions in Clusters of Galaxies (X-P Wu)Atomic, Molecular, Optical and Chemical Physics:Atoms in Strong Laser Fields and Nonperturbative QED (D-S Guo)Quantum Teleportation with Complete Set Bell State Measurement (Y-H Shih)Accelerator Physics:Design of the SSRF Magnet Lattice (Z M Dai et al.)Power Compression by Means of Thyratron in Low Frequency (Y Zhao)and other papers Readership: Researchers in physics. Keywords: