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Author | : Ievgen Dubovyk |
Publisher | : Springer Nature |
Total Pages | : 296 |
Release | : 2022-12-15 |
Genre | : Science |
ISBN | : 3031142721 |
Download Mellin-Barnes Integrals Book in PDF, ePub and Kindle
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 | : |
Total Pages | : |
Release | : 2018 |
Genre | : |
ISBN | : |
Download MBnumerics Book in PDF, ePub and Kindle
Author | : R. J. Eden |
Publisher | : Cambridge University Press |
Total Pages | : 300 |
Release | : 2002-04-30 |
Genre | : Mathematics |
ISBN | : 9780521523363 |
Download The Analytic S-Matrix Book in PDF, ePub and Kindle
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 |
Total Pages | : 366 |
Release | : 2011-12-02 |
Genre | : Mathematics |
ISBN | : 146141105X |
Download An Invitation to Morse Theory Book in PDF, ePub and Kindle
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 | : Guido Altarelli |
Publisher | : |
Total Pages | : 246 |
Release | : 1989 |
Genre | : Higgs bosons |
ISBN | : |
Download Z Physics at LEP 1 Book in PDF, ePub and Kindle
Author | : Vladimir A. Smirnov |
Publisher | : Springer |
Total Pages | : 251 |
Release | : 2005-02-28 |
Genre | : Science |
ISBN | : 3540447032 |
Download Evaluating Feynman Integrals Book in PDF, ePub and Kindle
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 | : Vladimir A. Smirnov |
Publisher | : Springer Science & Business Media |
Total Pages | : 270 |
Release | : 2001-11-06 |
Genre | : Science |
ISBN | : 3540423346 |
Download Applied Asymptotic Expansions in Momenta and Masses Book in PDF, ePub and Kindle
'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 |
Total Pages | : 483 |
Release | : 2016-08-25 |
Genre | : Science |
ISBN | : 9814733512 |
Download The Standard Theory of Particle Physics Book in PDF, ePub and Kindle
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 | : Elionora Arnold |
Publisher | : Springer Science & Business Media |
Total Pages | : 500 |
Release | : 2012-05-16 |
Genre | : Mathematics |
ISBN | : 0817683437 |
Download Singularities of Differentiable Maps, Volume 2 Book in PDF, ePub and Kindle
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.
Author | : Lizhi Fang |
Publisher | : |
Total Pages | : 324 |
Release | : 1984 |
Genre | : Astrophysics |
ISBN | : |
Download Cosmology of the Early Universe Book in PDF, ePub and Kindle