Evaluating Feynman Integrals - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Evaluating Feynman Integrals write by Vladimir A. Smirnov. This book was released on 2005-02-28. Evaluating Feynman Integrals available 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.
Analytic Tools for Feynman Integrals
Analytic Tools for Feynman Integrals - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Analytic Tools for Feynman Integrals write by Vladimir A. Smirnov. This book was released on 2013-01-16. Analytic Tools for Feynman Integrals available in PDF, EPUB and Kindle. 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.
Mathematical Theory of Feynman Path Integrals
Mathematical Theory of Feynman Path Integrals - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Theory of Feynman Path Integrals write by Sergio A. Albeverio. This book was released on 2006-11-14. Mathematical Theory of Feynman Path Integrals available in PDF, EPUB and Kindle. Feynman path integrals integrals, suggested heuristically by Feynman in the 40s, have become the basis of much of contemporary physics, from non relativistic quantum mechanics to quantum fields, including gauge fields, gravitation, cosmology. Recently ideas based on Feynman path integrals have also played an important role in areas of mathematics like low dimensional topology and differential geometry, algebraic geometry, infinite dimensional analysis and geometry, and number theory. The 2nd edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976. To take care of the many developments which have occurred since then, an entire new chapter about the current forefront of research has been added. Except for this new chapter, the basic material and presentation of the first edition was mantained, a few misprints have been corrected. At the end of each chapter the reader will also find notes with further bibliographical information.
Mathematical Feynman Path Integrals And Their Applications
Mathematical Feynman Path Integrals And Their Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Feynman Path Integrals And Their Applications write by Sonia Mazzucchi. This book was released on 2009-05-22. Mathematical Feynman Path Integrals And Their Applications available in PDF, EPUB and Kindle. Although more than 60 years have passed since their first appearance, Feynman path integrals have yet to lose their fascination and luster. They are not only a formidable instrument of theoretical physics, but also a mathematical challenge; in fact, several mathematicians in the last 40 years have devoted their efforts to the rigorous mathematical definition of Feynman's ideas.This volume provides a detailed, self-contained description of the mathematical difficulties as well as the possible techniques used to solve these difficulties. In particular, it gives a complete overview of the mathematical realization of Feynman path integrals in terms of well-defined functional integrals, that is, the infinite dimensional oscillatory integrals. It contains the traditional results on the topic as well as the more recent developments obtained by the author.Mathematical Feynman Path Integrals and Their Applications is devoted to both mathematicians and physicists, graduate students and researchers who are interested in the problem of mathematical foundations of Feynman path integrals.
The Feynman Integral and Feynman's Operational Calculus
The Feynman Integral and Feynman's Operational Calculus - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Feynman Integral and Feynman's Operational Calculus write by Gerald W. Johnson. This book was released on 2000-03-16. The Feynman Integral and Feynman's Operational Calculus available in PDF, EPUB and Kindle. This book provides the most comprehensive mathematical treatment to date of the Feynman path integral and Feynman's operational calculus. It is accessible to mathematicians, mathematical physicists and theoretical physicists. Including new results and much material previously only available in the research literature, this book discusses both the mathematics and physics background that motivate the study of the Feynman path integral and Feynman's operational calculus, and also provides more detailed proofs of the central results.
