Mbnumerics

Author : Ievgen Dubovyk
Publisher : Springer Nature
ISBN 13 : 3031142721
Total Pages : 296 pages
Book Rating : 4.27/5 ( download)

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Download or read book Mellin-Barnes Integrals written by Ievgen Dubovyk and published by Springer Nature. This book was released on 2022-12-15 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the authors discuss the Mellin-Barnes representation of complex multidimensional integrals. Experiments frontiered by the High-Luminosity Large Hadron Collider at CERN and future collider projects demand the development of computational methods to achieve the theoretical precision required by experimental setups. In this regard, performing higher-order calculations in perturbative quantum field theory is of paramount importance. The Mellin-Barnes integrals technique has been successfully applied to the analytic and numerical analysis of integrals connected with virtual and real higher-order perturbative corrections to particle scattering. Easy-to-follow examples with the supplemental online material introduce the reader to the construction and the analytic, approximate, and numeric solution of Mellin-Barnes integrals in Euclidean and Minkowskian kinematic regimes. It also includes an overview of the state-of-the-art software packages for manipulating and evaluating Mellin-Barnes integrals. The book is meant for advanced students and young researchers to master the theoretical background needed to perform perturbative quantum field theory calculations.

Author : J. Usovitsch
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.30/5 ( download)

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Download or read book MBnumerics written by J. Usovitsch and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : R. J. Eden
Publisher : Cambridge University Press
ISBN 13 : 9780521523363
Total Pages : 300 pages
Book Rating : 4.62/5 ( download)

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Download or read book The Analytic S-Matrix written by R. J. Eden and published by Cambridge University Press. This book was released on 2002-04-30 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: A theory of the S-Matrix, starting from physically plausible assumptions and looking at the mathematical consequences.

Author : Liviu Nicolaescu
Publisher : Springer Science & Business Media
ISBN 13 : 146141105X
Total Pages : 366 pages
Book Rating : 4.55/5 ( download)

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Download or read book An Invitation to Morse Theory written by Liviu Nicolaescu and published by Springer Science & Business Media. This book was released on 2011-12-02 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained treatment of Morse theory focuses on applications and is intended for a graduate course on differential or algebraic topology, and will also be of interest to researchers. This is the first textbook to include topics such as Morse-Smale flows, Floer homology, min-max theory, moment maps and equivariant cohomology, and complex Morse theory. The reader is expected to have some familiarity with cohomology theory and differential and integral calculus on smooth manifolds. Some features of the second edition include added applications, such as Morse theory and the curvature of knots, the cohomology of the moduli space of planar polygons, and the Duistermaat-Heckman formula. The second edition also includes a new chapter on Morse-Smale flows and Whitney stratifications, many new exercises, and various corrections from the first edition.

Author : Vladimir A. Smirnov
Publisher : Springer
ISBN 13 : 3540447032
Total Pages : 251 pages
Book Rating : 4.30/5 ( download)

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Download or read book Evaluating Feynman Integrals written by Vladimir A. Smirnov and published by Springer. This book was released on 2005-02-28 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of evaluating Feynman integrals over loop momenta has existed from the early days of perturbative quantum field theory. Although a great variety of methods for evaluating Feynman integrals has been developed over a span of more than fifty years, this book is a first attempt to summarize them. Evaluating Feynman Integrals characterizes the most powerful methods, in particular those used for recent, quite sophisticated calculations, and then illustrates them with numerous examples, starting from very simple ones and progressing to nontrivial examples.

Author : Guido Altarelli
Publisher :
ISBN 13 :
Total Pages : 246 pages
Book Rating : 4.19/5 ( download)

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Download or read book Z Physics at LEP 1 written by Guido Altarelli and published by . This book was released on 1989 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Vladimir A. Smirnov
Publisher : Springer
ISBN 13 : 3540445749
Total Pages : 270 pages
Book Rating : 4.46/5 ( download)

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Download or read book Applied Asymptotic Expansions in Momenta and Masses written by Vladimir A. Smirnov and published by Springer. This book was released on 2003-07-01 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'The sturgeon they sent was second grade fresh,' said the barman. 'Really, what nonsense/' 'Why nonsense?' '"Second grade fresh" that's what I call nonsense/ There's only one degree of freshness the first, and it's the last) (M. A. Bulgakov, The Master and Margarita) The goal of this book is to describe in detail how Feynman integrals can be expanded in suitable parameters, when various momenta or masses are small or large. In a narrow sense, this problem is connected with practical calcula tions. In a situation where a given Feynman integral depends on parameters of very different scales, a natural idea is to replace it by a sufficiently large number of terms of an expansion of it in ratios of small and large scales. It will be explained how this problem of expansion can be systematically solved, by formulating universal prescriptions that express terms of the expansion by using the original Feynman integral with its integrand expanded into a Taylor series in appropriate momenta and masses. It turns out that knowledge of the structure of the asymptotic expansion at the diagrammatic level is a key point in understanding how to perform expansions at the operator level. There are various examples of these ex pansions: the operator product expansion, the large mass expansion, Heavy Quark Effective Theory, Non Relativistic QCD, etc. Each of them serves as a realization of the factorization of contributions of different scales.

Author : Luciano Maiani
Publisher : World Scientific Publishing Company
ISBN 13 : 9814733512
Total Pages : 483 pages
Book Rating : 4.19/5 ( download)

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Download or read book The Standard Theory of Particle Physics written by Luciano Maiani and published by World Scientific Publishing Company. This book was released on 2016-08-25 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book gives a quite complete and up-to-date picture of the Standard Theory with an historical perspective, with a collection of articles written by some of the protagonists of present particle physics. The theoretical developments are described together with the most up-to-date experimental tests, including the discovery of the Higgs Boson and the measurement of its mass as well as the most precise measurements of the top mass, giving the reader a complete description of our present understanding of particle physics.

Author : European Organization for Nuclear Research. Working Group on Precision Calculations for the Z Resonance
Publisher :
ISBN 13 :
Total Pages : 432 pages
Book Rating : 4.60/5 ( download)

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Download or read book Reports of the Working Group on Precision Calculations for the Z Resonance written by European Organization for Nuclear Research. Working Group on Precision Calculations for the Z Resonance and published by . This book was released on 1995 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Elionora Arnold
Publisher : Springer Science & Business Media
ISBN 13 : 0817683437
Total Pages : 492 pages
Book Rating : 4.36/5 ( download)

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Download or read book Singularities of Differentiable Maps, Volume 2 written by Elionora Arnold and published by Springer Science & Business Media. This book was released on 2012-05-16 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​​​The present volume is the second in a two-volume set entitled Singularities of Differentiable Maps. While the first volume, subtitled Classification of Critical Points and originally published as Volume 82 in the Monographs in Mathematics series, contained the zoology of differentiable maps, that is, it was devoted to a description of what, where, and how singularities could be encountered, this second volume concentrates on elements of the anatomy and physiology of singularities of differentiable functions. The questions considered are about the structure of singularities and how they function.