Sign-In
Cart
Aspects of Scattering Amplitudes and Moduli Space Localization
Hardcover
Series: Springer Theses
ISBN13: 9783030530099
Publisher: Springer Nature
Published: Sep 24 2020
Pages: 134
Weight: 0.87
Height: 0.44 Width: 6.14 Depth: 9.21
Language: English
This thesis proposes a new perspective on scattering amplitudes in quantum field theories. Their standard formulation in terms of sums over Feynman diagrams is replaced by a computation of geometric invariants, called intersection numbers, on moduli spaces of Riemann surfaces. It therefore gives a physical interpretation of intersection numbers, which have been extensively studied in the mathematics literature in the context of generalized hypergeometric functions. This book explores physical consequences of this formulation, such as recursion relations, connections to geometry and string theory, as well as a phenomenon called moduli space localization.
After reviewing necessary mathematical background, including topology of moduli spaces of Riemann spheres with punctures and its fundamental group, the definition and properties of intersection numbers are presented. A comprehensive list of applications and relations to other objects is given, including those toscattering amplitudes in open- and closed-string theories. The highlights of the thesis are the results regarding localization properties of intersection numbers in two opposite limits: in the low- and the high-energy expansion.
In order to facilitate efficient computations of intersection numbers the author introduces recursion relations that exploit fibration properties of the moduli space. These are formulated in terms of so-called braid matrices that encode the information of how points braid around each other on the corresponding Riemann surface. Numerous application of this approach are presented for computation of scattering amplitudes in various gauge and gravity theories. This book comes with an extensive appendix that gives a pedagogical introduction to the topic of homologies with coefficients in a local system.
Also in
Physics
My Einstein: Essays by Twenty-Four of the World's Leading Thinkers on the Man, His Work, and His Legacy
Brockman, John
Paperback
Just Visiting This Planet, Revised and Updated for the Twenty-First Century: Further Scientific Adventures of Merlin from Omniscia
Tyson, Neil Degrasse
Hardcover
What If? 10th Anniversary Edition: Serious Scientific Answers to Absurd Hypothetical Questions
Munroe, Randall
Hardcover
Rocket Dreams: Musk, Bezos, and the Inside Story of the New, Trillion-Dollar Space Race
Davenport, Christian
Hardcover
My Big TOE Awakening Discovery Inner Workings: The Complete My Big TOE Trilogy Unifying Philosophy, Physics and Metaphysics
Campbell, Thomas
Hardcover
Do Aliens Speak Physics?: And Other Questions about Science and the Nature of Reality
Warner, Andy
Whiteson, Daniel
Hardcover
American Prometheus: The Inspiration for the Major Motion Picture OPPENHEIMER
Bird, Kai
Sherwin, Martin J.
Paperback
5 Steps to a 5: AP Physics 1 2026: Practice AP Tests + AP Content Review + Digital Exams
Jacobs, Greg
Paperback
What If? 2: Additional Serious Scientific Answers to Absurd Hypothetical Questions
Munroe, Randall
Hardcover
Collisions: A Physicist's Journey from Hiroshima to the Death of the Dinosaurs
Nevala-Lee, Alec
Hardcover
Six Easy Pieces: Essentials of Physics Explained by Its Most Brilliant Teacher
Sands, Matthew
Feynman, Richard P.
Leighton, Robert B.
Paperback
The Tao of Physics: An Exploration of the Parallels Between Modern Physics and Eastern Mysticism
Capra, Fritjof
Paperback
Princeton Review AP Physics 1 Premium Prep, 12th Edition: 5 Practice Tests + Digital Practice Online + Content Review
The Princeton Review
Paperback
AP Physics 1 Premium, 2026: Prep Book with 4 Practice Tests + Comprehensive Review + Online Practice
Wolf, Jonathan
Rideout, Kenneth
Paperback
A New Science of Heaven: How the New Science of Plasma Physics Is Shedding Light on Spiritual Experience
Temple, Robert
Paperback
Ways of Being: Animals, Plants, Machines: The Search for a Planetary Intelligence
Bridle, James
Paperback
My Big TOE Awakening Discovery Inner Workings: The Complete My Big TOE Trilogy Unifying Philosophy, Physics, and Metaphysics
Campbell, Thomas
Paperback
Smithsonian Atlas of Space: A Map to the Universe from the Big Bang to the Future
Launius, Roger D.
Hardcover
Zinn and the Art of Mountain Bike Maintenance, 7th Edition: The World's Best-Selling Guide to Mountain Bike Repair
Zinn, Lennard
Paperback
Atomic Dreams: The New Nuclear Evangelists and the Fight for the Future of Energy
Tuhus-Dubrow, Rebecca
Hardcover
Unseen Universe: Space as You've Never Seen It Before from the James Webb Space Telescope
Harper, Caroline
Hardcover
The Elegant Universe: Superstrings, Hidden Dimensions, and the Quest for the Ultimate Theory
Greene, Brian
Paperback
Introduction to Live Sound Reinforcement: The Science, the Art, and the Practice
Boyce, Teddy
Paperback
Strange Angel: The Otherworldly Life of Rocket Scientist John Whiteside Parsons
Pendle, George
Paperback
The Disordered Cosmos: A Journey Into Dark Matter, Spacetime, and Dreams Deferred
Prescod-Weinstein, Chanda
Paperback
Six Not-So-Easy Pieces: Einstein's Relativity, Symmetry, and Space-Time
Sands, Matthew
Feynman, Richard P.
Leighton, Robert B.
Paperback
Zinn & the Art of Road Bike Maintenance: The World's Best-Selling Bicycle Repair and Maintenance Guide, 6th Edition
Zinn, Lennard
Paperback
The Edge of Space-Time: Particles, Poetry, and the Cosmic Dream Boogie
Prescod-Weinstein, Chanda
Hardcover
Alchemy of Nine Dimensions: Activating the Full Spectrum of Consciousness
Clow, Barbara Hand
Paperback
There Are Places in the World Where Rules Are Less Important Than Kindness: And Other Thoughts on Physics, Philosophy and the World
Rovelli, Carlo
Paperback
The Universe in 100 Colors: Weird and Wondrous Colors from Science and Nature
Mudge, Terry
Thrasher, Tyler
Hardcover
Supermassive: Black Holes at the Beginning and End of the Universe
Trefil, James
Satyapal, Shobita
Hardcover
The Ups and Downs of Physics: The Science of Gravity, Aerodynamics, and Everyday Mishaps
Weber, Marcus
Weber, Judith
Hardcover
The Problem of Increasing Human Energy: With Special Reference to the Harnessing of the Sun's Energy
Tesla, Nikola
Paperback
Sciencia: Mathematics, Physics, Chemistry, Biology, and Astronomy for All
Betts, Moff
Tweed, Matt
Watkins, Matthew
Hardcover
Time Travel in Einstein's Universe: The Physical Possibilities of Travel Through Time
Gott, J. Richard
Paperback
The Montauk Project - Experiments in Time: Silver Anniversary Edition
Nichols, Preston B.
Moon, Peter
Hardcover
Out of This World and Into the Next: A Physicist's Guide to Space Exploration
Marais, Adriana
Hardcover
Biocentrism: How Life and Consciousness Are the Keys to Understanding the True Nature of the Universe
Lanza, Robert
Berman, Bob
Paperback
Cosmos and Transcendence: Breaking Through the Barrier of Scientistic Belief
Smith, Wolfgang
Paperback
Cosmic Queries: Startalk's Guide to Who We Are, How We Got Here, and Where We're Going
Tyson, Neil DeGrasse
Hardcover
AP Physics 2 Premium, Fourth Edition: Prep Book with 4 Practice Tests + Comprehensive Review + Online Practice (2026)
Wolf, Jonathan
Rideout, Kenneth
Paperback
The Theoretical Minimum: What You Need to Know to Start Doing Physics
Susskind, Leonard
Hrabovsky, George
Paperback
The Fabric of Reality: The Science of Parallel Universes--And Its Implications
Deutsch, David
Paperback
My Big TOE - Awakening S: Book 1 of a Trilogy Unifying of Philosophy, Physics, and Metaphysics
Campbell, Thomas
Paperback
Princeton Review AP Physics C Premium Prep, 19th Edition: 4 Practice Tests + Digital Practice Online + Content Review
The Princeton Review
Paperback
Analytic Idealism in a Nutshell: A Straightforward Summary of the 21st Century's Only Plausible Metaphysics
Kastrup, Bernardo
Paperback
Do Plants Know Math?: Unwinding the Story of Plant Spirals, from Leonardo Da Vinci to Now
Douady, Stéphane
Golé, Christophe
Dumais, Jacques
Hardcover
A Brief Welcome to the Universe: A Pocket-Sized Tour
Tyson, Neil Degrasse
Gott, J. Richard
Strauss, Michael A.
Paperback
Free Creations of the Human Mind: The Worlds of Albert Einstein
Gordin, Michael D.
Buchwald, Diana Kormos
Hardcover
The New World Champion Paper Airplane Book: Featuring the World Record-Breaking Design, with Tear-Out Planes to Fold and Fly
Collins, John M.
Paperback
American Prometheus: The Triumph and Tragedy of J. Robert Oppenheimer
Sherwin, Martin J.
Bird, Kai
Hardcover
AP Physics C Premium, Eighth Edition: 4 Practice Tests + Comprehensive Review + Online Practice (2026)
Pelcovits, Robert A.
Farkas, Joshua
Paperback
Princeton Review AP Physics 2 Premium Prep, 11th Edition: 4 Practice Tests + Digital Practice Online + Content Review
The Princeton Review
Paperback
Fundamentals of Astrodynamics: Second Edition
White, Jerry E.
Bate, Roger R.
Mueller, Donald D.
Paperback
Apollo Expeditions to the Moon: The NASA History 50th Anniversary Edition
Cortright, Edgar M.
Hardcover
The Secret Life of the Universe: An Astrobiologist's Search for the Origins and Frontiers of Life
Cabrol, Nathalie A.
Paperback
The Magick of Physics: Uncovering the Fantastical Phenomena in Everyday Life
Flicker, Felix
Paperback
Fantastic Numbers and Where to Find Them: A Journey to the Edge of Physics
Padilla, Antonio
Paperback
The Art of Physics: How Science Explains the Chaos, Contradictions, and Unpredictability of Life
Bharmal, Zahaan
Hardcover
The Universe Story: From the Primordial Flaring Forth to the Ecozoic Era--A Celebration of the Unfol
Swimme, Brian
Paperback
Waves in an Impossible Sea: How Everyday Life Emerges from the Cosmic Ocean
Strassler, Matt
Hardcover
Welcome to the Universe: An Astrophysical Tour
Tyson, Neil Degrasse
Strauss, Michael A.
Gott, J. Richard
Hardcover
Faraday, Maxwell, and the Electromagnetic Field: How Two Men Revolutionized Physics
Mahon, Basil
Forbes, Nancy
Paperback
Elements: A Visual Exploration of Every Known Atom in the Universe, Book 1 of 3
Gray, Theodore
Hardcover
The Power of Eight: Harnessing the Miraculous Energies of a Small Group to Heal Others, Your Life, and the World
McTaggart, Lynne
Paperback
The Sound Atlas: A Guide to Strange Sounds Across Landscapes and Imagination
Vieser, Michaela
Yuen, Isaac
Hardcover