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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.
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 dec...
'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...
This is the first book to reveal the mechanism of 'long-term water memory' effects. The theory is based on precise mathematical calculations and a fundamental physical model of clathrate hydrates developed by Pauling in 1959. This book gives a detailed review of modern theories dealing with structure and properties of water. It also provides theory regarding the effect of activated water on biological systems under the life suppressive conditions such as ionizing and non-ionizing radiation. In addition, it provides detail information regarding the mechanism of DNA self-reparation process under the influence of activated water. Also included is a chapter on the innovative patented technology based on mechanism of 'long-term water memory' to prove the feasilibity with experimental data and protocols.
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.
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.
Presents and demonstrates stabilizer design techniques that can be used to solve stabilization problems with constraints. These methods have their origins in convex programming and stability theory. However, to provide a practical capability in stabilizer design, the methods are tailored to the special features and needs of this field. Hence, the main emphasis of this book is on the methods of stabilization, rather than optimization and stability theory. The text is divided into three parts. Part I contains some background material. Part II is devoted to behavior of control systems, taking examples from mechanics to illustrate the theory. Finally, Part III deals with nonlocal stabilization problems, including a study of the global stabilization problem.
Do you know your Moscow Mule from your White Russian? Your Stoli from your Belvedere? Micron filtering from charcoal filtering? No matter how you take your vodka, it is time to embrace your inner vodka snob. How to Be a Vodka Snob is the perfect read for drinking novices as well as connoisseurs, beginning with vodka's humble history as a medicinal liquor and accompanying it on its rise to stardom with high-end vodka appreciators and mixologists. Pairing fascinating stories, tidbits, and recipes with a step-by-step guide to becoming a vodka snob, Brittany Jacques offers a beginner's guide to proper glassware, equipment needed for the home bar, and the all-important vodka lingo. Ever wanted to order a filthy martini, stirred, extra wet? How to Be a Vodka Snob is the perfect book for you. How to be a Vodka Snob features more than 50 recipes with everything from James Bond's favorite Martini to Dwight's Beets Over Rocks from The Office, as well as accompanying nibbles and side dishes. With Brittany Jacques as your guide, your journey to becoming a vodka snob starts here.