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1. |
Record Nr. |
UNINA9910427685303321 |
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Autore |
Mizera Sebastian |
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Titolo |
Aspects of scattering amplitudes and moduli space localization / / Sebastian Mizera |
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Pubbl/distr/stampa |
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Cham, Switzerland : , : Springer, , [2020] |
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©2020 |
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ISBN |
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Edizione |
[1st ed. 2020.] |
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Descrizione fisica |
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1 online resource (XVII, 134 p. 18 illus., 14 illus. in color.) |
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Collana |
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Disciplina |
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Soggetti |
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Differential forms |
Riemann surfaces |
Geometry, Differential |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Chapter1: Introduction -- Chapter2: Intersection Numbers of Twisted Di erential Forms -- Chapter3: Recursion Relations from Braid Matrices -- Chapter4: Further Examples of Intersection Numbers -- Chapter5: Conclusion. |
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Sommario/riassunto |
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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 |
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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. |
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2. |
Record Nr. |
UNINA9910697291203321 |
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Autore |
Takasuo E |
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Titolo |
An assessment of TRACE V4.160 code against PACTEL ATWS-10 - 13 and ATWS-20 - 21 pressurizer experiments [[electronic resource] /] / prepared by: E. Takasuo |
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Pubbl/distr/stampa |
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Washington, DC : , : U. S. Nuclear Regulatory Commission, , [2010] |
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Descrizione fisica |
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1 online resource (vii, 23, 18 pages) : illustrations |
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Collana |
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International agreement report ; ; NUREG/IA-0231 |
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Altri autori (Persone) |
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Soggetti |
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Pressurized water reactors - Control - Simulation methods |
Nuclear engineering - Instruments - Simulation methods |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Title from PDF title screen (viewed July 28, 2010). |
"Prepared as part of The Agreement on Research Participation and Technical Exchange Under the International Code Assessment and Maintenance Program (CAMP)." |
"A. Calvo, NRC Project Manager. " |
"June 2010." |
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Nota di bibliografia |
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Includes bibliographical references (page 23). |
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3. |
Record Nr. |
UNIORUON00041751 |
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Autore |
BHATTACHARYA, C. |
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Titolo |
Art of Central Asia : (with special reference to wooden objects from the Northern Silk Route) / C. Bhattacharya |
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Pubbl/distr/stampa |
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Delhi, : Agam Prakashan, 1977 |
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Descrizione fisica |
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XI, 160 p., p. di tav. : ill. ; 28 cm |
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Classificazione |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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