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.
Download or read book Renormalization and Asymptotic Expansions written by Vladimir Alexandrovich Smirnov and published by Birkhauser. This book was released on 1991 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Analytic Tools for Feynman Integrals written by Vladimir A. Smirnov and published by Springer. This book was released on 2013-01-15 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this book is to describe the most powerful methods for evaluating multiloop Feynman integrals that are currently used in practice. This book supersedes the author’s previous Springer book “Evaluating Feynman Integrals” and its textbook version “Feynman Integral Calculus.” Since the publication of these two books, powerful new methods have arisen and conventional methods have been improved on in essential ways. A further qualitative change is the fact that most of the methods and the corresponding algorithms have now been implemented in computer codes which are often public. In comparison to the two previous books, three new chapters have been added: One is on sector decomposition, while the second describes a new method by Lee. The third new chapter concerns the asymptotic expansions of Feynman integrals in momenta and masses, which were described in detail in another Springer book, “Applied Asymptotic Expansions in Momenta and Masses,” by the author. This chapter describes, on the basis of papers that appeared after the publication of said book, how to algorithmically discover the regions relevant to a given limit within the strategy of expansion by regions. In addition, the chapters on the method of Mellin-Barnes representation and on the method of integration by parts have been substantially rewritten, with an emphasis on the corresponding algorithms and computer codes.
Download or read book Analytic Tools for Feynman Integrals written by Vladimir A. Smirnov and published by Springer. This book was released on 2013-01-16 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this book is to describe the most powerful methods for evaluating multiloop Feynman integrals that are currently used in practice. This book supersedes the author’s previous Springer book “Evaluating Feynman Integrals” and its textbook version “Feynman Integral Calculus.” Since the publication of these two books, powerful new methods have arisen and conventional methods have been improved on in essential ways. A further qualitative change is the fact that most of the methods and the corresponding algorithms have now been implemented in computer codes which are often public. In comparison to the two previous books, three new chapters have been added: One is on sector decomposition, while the second describes a new method by Lee. The third new chapter concerns the asymptotic expansions of Feynman integrals in momenta and masses, which were described in detail in another Springer book, “Applied Asymptotic Expansions in Momenta and Masses,” by the author. This chapter describes, on the basis of papers that appeared after the publication of said book, how to algorithmically discover the regions relevant to a given limit within the strategy of expansion by regions. In addition, the chapters on the method of Mellin-Barnes representation and on the method of integration by parts have been substantially rewritten, with an emphasis on the corresponding algorithms and computer codes.
Download or read book Radiative Corrections Radcor 98 Application Of Quantum Field Theory To Phenomenology Proceedings Of 4th written by Joan Sola and published by World Scientific. This book was released on 1999-09-17 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the contributions of 47 leading researchers in high energy physics, both theorists and experimentalists, from all over the world. It discusses the application of quantum field theory to phenomenology in all areas of active research in particle physics. The topics covered include: (i) the status of precision measurements at LEP, SLC, HERA, Tevatron, and other experiments; (ii) quantum-field-theoretical techniques for calculating electroweak and QCD radiative corrections; and (iii) radiative corrections and precision experiments in future colliders (Tevatron II, LHC, NLC, Muon Collider, etc.). The confrontation in a single volume of all the high precision results reported by experimentalists, on one side, with the predictions of the Standard Model (SM) at the level of radiative corrections, on the otherside, provides a detailed test of the SM at the quantum level. And, where discrepancies appear, it gives hints of physics beyond the SM (such as supersymmetry, effective quantum field theories, etc.) which are thoroughly discussed in the book.
Download or read book High Performance Computing in Science and Engineering 15 written by Wolfgang E. Nagel and published by Springer. This book was released on 2016-02-05 with total page 701 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the state-of-the-art in supercomputer simulation. It includes the latest findings from leading researchers using systems from the High Performance Computing Center Stuttgart (HLRS) in 2015. The reports cover all fields of computational science and engineering ranging from CFD to computational physics and from chemistry to computer science with a special emphasis on industrially relevant applications. Presenting findings of one of Europe’s leading systems, this volume covers a wide variety of applications that deliver a high level of sustained performance. The book covers the main methods in high-performance computing. Its outstanding results in achieving the best performance for production codes are of particular interest for both scientists and engineers. The book comes with a wealth of color illustrations and tables of results.
Download or read book Neutrino Mass written by Guido Altarelli and published by Springer Science & Business Media. This book was released on 2003-09-08 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reviews the current state of knowledge of neutrino masses and the related question of neutrino oscillations. After an overview of the theory of neutrino masses and mixings, detailed accounts are given of the laboratory limits on neutrino masses, astrophysical and cosmological constraints on those masses, experimental results on neutrino oscillations, the theoretical interpretation of those results, and theoretical models of neutrino masses and mixings. The book concludes with an examination of the potential of long-baseline experiments. This is an essential reference text for workers in elementary-particle physics, nuclear physics, and astrophysics.
Download or read book Application of Quantum Field Theory to Phenomenology RADCOR written by and published by . This book was released on 2003 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nuclear Physics written by and published by . This book was released on 2003 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book American Book Publishing Record written by and published by . This book was released on 2002 with total page 2252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Physics Letters written by and published by . This book was released on 2001 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Energy Research Abstracts written by and published by . This book was released on 1987 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Feynman Integral Calculus written by Vladimir A. Smirnov and published by Springer Science & Business Media. This book was released on 2006-11-15 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the book is to summarize those methods for evaluating Feynman integrals that have been developed over a span of more than fifty years. The book characterizes the most powerful methods and illustrates them with numerous examples starting from very simple ones and progressing to nontrivial examples. The book demonstrates how to choose adequate methods and combine evaluation methods in a non-trivial way. The most powerful methods are characterized and then illustrated through numerous examples. This is an updated textbook version of the previous book (Evaluating Feynman integrals, STMP 211) of the author.
Download or read book Heavy Quark Effective Theory written by Andrey G. Grozin and published by Springer. This book was released on 2004-04-07 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This up-to-date review also serves as an introduction to Heavy Quark Effective Theory (HQET) - a new approach to heavy quark physics problems in Quantum Chromodynamics (QCD). The book also contains a detailed discussion of the methods of calculation used in HQET, along with numerous illustrations.
Download or read book Proceedings of the Fifth International Workshop on Electron Electron Interactions at TeV Energies written by Clemens A. Heusch and published by . This book was released on 2005 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proceedings of the Workshop on Positronium Physics written by Marta Felcini and published by . This book was released on 2004 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Books In Print 2004 2005 written by Ed Bowker Staff and published by R. R. Bowker. This book was released on 2004 with total page 3274 pages. Available in PDF, EPUB and Kindle. Book excerpt:
