0
Your cart

Your cart is empty

Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)

Buy Now

Aspects of Scattering Amplitudes and Moduli Space Localization (Hardcover, 1st ed. 2020) Loot Price: R3,020
Discovery Miles 30 200
Aspects of Scattering Amplitudes and Moduli Space Localization (Hardcover, 1st ed. 2020): Sebastian Mizera

Aspects of Scattering Amplitudes and Moduli Space Localization (Hardcover, 1st ed. 2020)

Sebastian Mizera

Series: Springer Theses

 (sign in to rate)
Loot Price R3,020 Discovery Miles 30 200 | Repayment Terms: R283 pm x 12*

Bookmark and Share

Expected to ship within 10 - 15 working days

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 to scattering 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.

General

Imprint: Springer Nature Switzerland AG
Country of origin: Switzerland
Series: Springer Theses
Release date: September 2020
First published: 2020
Authors: Sebastian Mizera
Dimensions: 235 x 155mm (L x W)
Format: Hardcover
Pages: 134
Edition: 1st ed. 2020
ISBN-13: 978-3-03-053009-9
Categories: Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
Books > Science & Mathematics > Mathematics > Applied mathematics > General
Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics) > General
Promotions
LSN: 3-03-053009-4
Barcode: 9783030530099

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!

You might also like..

Exploring Quantum Mechanics - A…
Victor Galitski, Boris Karnakov, … Hardcover R6,614 Discovery Miles 66 140
Quantum City
Ayssar Arida Paperback R1,468 Discovery Miles 14 680
Existential Physics - A Scientist’s…
Sabine Hossenfelder Paperback R343 R308 Discovery Miles 3 080
Handbook of Research on Quantum…
Amit Kumar Tyagi Hardcover R9,163 Discovery Miles 91 630
Quantum Physics and Theology - An…
John Polkinghorne Paperback R359 Discovery Miles 3 590
Symmetry in Quantum Theory of Gravity
Chris Fields, Antonino Marciano Hardcover R1,258 Discovery Miles 12 580
Relativity - The Special and The General…
Albert Einstein Hardcover R1,165 R958 Discovery Miles 9 580
Electron Statistics In Quantum Confined…
Kamakhya Prasad Ghatak, Arindam Biswas Hardcover R5,348 Discovery Miles 53 480
Student Friendly Quantum Field Theory…
Robert D. Klauber Hardcover R2,442 Discovery Miles 24 420
Technology Road Mapping for Quantum…
Brojo Kishore Mishra Hardcover R7,039 Discovery Miles 70 390
Quantum Field Theory: An Introduction…
Richard N. Porter Hardcover R2,731 Discovery Miles 27 310
Science of Story: Mastering Your Nature
Adrea Peters Hardcover R617 Discovery Miles 6 170

See more

Partners