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Author: Sebastian Mizera Publisher: Springer Nature ISBN: 3030530108 Category : Science Languages : en Pages : 148
Book Description
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.
Author: Sebastian Mizera Publisher: Springer Nature ISBN: 3030530108 Category : Science Languages : en Pages : 148
Book Description
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.
Author: L F (Leslie Fleetwood) Bates Publisher: Hassell Street Press ISBN: 9781014409683 Category : Languages : en Pages : 536
Book Description
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author: Pierce W. Selwood Publisher: Read Books Ltd ISBN: 1473389097 Category : Science Languages : en Pages : 309
Book Description
A comprehensive treatise on the subject of Magnetochemistry. This is an essential textbook for those studying the subject and anyone interested in the magnetic properties of chemical compounds. Sections include: Part I: Measurement and Susceptibility. Part II: Atomic Diamagnetism. Part III: Molecular Diamagnetism. Part IV: Atomic Paramagnetism. Part V: Molecular Paramagnetism. Part VI: Complex Compounds. Part VII: Metallic Dia- and Paramagnetism. Part VIII: Ferromagnetism. Part IX: Applied Magnetism Analysis
Author: Markus Röhrken Publisher: Springer Science & Business Media ISBN: 3319007262 Category : Science Languages : en Pages : 205
Book Description
This thesis describes a high-quality, high-precision method for the data analysis of an interesting elementary particle reaction. The data was collected at the Japanese B-meson factory KEKB with the Belle detector, one of the most successful large-scale experiments worldwide. CP violation is a subtle quantum effect that makes the world look different when simultaneously left and right and matter and antimatter are exchanged. This being a prerequisite for our own world to have developed from the big bang, there are only a few experimental indications of such effects, and their detection requires very intricate techniques. The discovery of CP violation in B meson decays garnered Kobayashi and Maskawa, who had predicted these findings as early as 1973, the 2008 Nobel prize in physics. This thesis describes in great detail what are by far the best measurements of branching ratios and CP violation parameters in two special reactions with two charm mesons in the final state. It presents an in-depth but accessible overview of the theory, phenomenology, experimental setup, data collection, Monte Carlo simulations, (blind) statistical data analysis, and systematic uncertainty studies.
Author: Sheldon Stone Publisher: World Scientific ISBN: 9789810218362 Category : Science Languages : en Pages : 676
Book Description
This 2nd edition is an extensive update of "B Decays?. The revisions are necessary because of the extensive amount of new data and new theoretical ideas. This book reviews what is known about b-quark decays and also looks at what can be learned in the future.The importance of this research area is increasing, as evidenced by the approval of the luminosity upgrade for CESR and the asymmetric B factories at SLAC and KEK, and the possibility of experiments at hadron colliders.The key experimental observations made thus far, measurement of the lifetimes of the different B species, B0-B0 mixing, the discovery of ?Penguin? mediated decays, and the extraction of the CKM matrix elements Vub and Vcb from semileptonic decays, as well as more mundane results, are described in great detail by the experimentalists who have been closely involved with making the measurements. Theoretical progress in understanding b-quark decays using HQET and lattice gauge techniques are described by theorists who have developed and used these techniques.Synthesizing the experimental and theoretical information, several articles discuss the implications for the ?Standard Model? and how further tests can be done using measurements of CP violation in the B system.
Author: Michael Prim Publisher: Springer Science & Business Media ISBN: 3319057561 Category : Science Languages : en Pages : 111
Book Description
This thesis describes the thorough analysis of the rare B meson decay into φ K* on data taken by the Belle Collaboration at the B-meson-factory KEKB over 10 years. This reaction is very interesting, because it in principle allows the observation of CP-violation effects. In the Standard Model however, no CP violation in this reaction is expected. An observation of CP asymmetries thus immediately implies new physics. This thesis presents an amplitude analysis of this decay and the search for CP violation in detail and discusses methods to solve related problems: The quantification of multivariate dependence and the improvement of numeric evaluation speed of normalization integrals in amplitude analysis. In addition it provides an overview of the theory, experimental setup, (blind) statistical data analysis and estimation of systematic uncertainties.
Author: Hluf Negash Publisher: GRIN Verlag ISBN: 3346135543 Category : Science Languages : en Pages : 19
Book Description
Academic Paper from the year 2020 in the subject Physics - Other, , language: English, abstract: In this paper, we calculated the magnetic decay widths between two mesons containing two different heavy quarks ($c\overline{b}$) for the process of $B^{*}_{c}\rightarrow B_{c}+\gamma$, within the framework of Bethe-Salpeter approach. The calculated values are found to be in a reasonable agreement with other theoretical results.
Author: Sebastian Mizera
Author: Sebastian Mizera
Author: Orrin Fackler
Author: L F (Leslie Fleetwood) Bates
Author: Pierce W. Selwood
Author: John B. Harris
Author: Markus Röhrken
Author: Sheldon Stone
Author: Michael Prim
Author: Hluf Negash![Production of K[pi][pi] Resonances at High Energy PDF](https://books.google.com/books/content/images/frontcover/Oc4am7HXk6YC?fife=w80-h100)
Author: J. Berlinghieri