Graphs in Perturbation Theory - 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 Graphs in Perturbation Theory write by Michael Borinsky. This book was released on 2018-11-04. Graphs in Perturbation Theory available in PDF, EPUB and Kindle. This book is the first systematic study of graphical enumeration and the asymptotic algebraic structures in perturbative quantum field theory. Starting with an exposition of the Hopf algebra structure of generic graphs, it reviews and summarizes the existing literature. It then applies this Hopf algebraic structure to the combinatorics of graphical enumeration for the first time, and introduces a novel method of asymptotic analysis to answer asymptotic questions. This major breakthrough has combinatorial applications far beyond the analysis of graphical enumeration. The book also provides detailed examples for the asymptotics of renormalizable quantum field theories, which underlie the Standard Model of particle physics. A deeper analysis of such renormalizable field theories reveals their algebraic lattice structure. The pedagogical presentation allows readers to apply these new methods to other problems, making this thesis a future classic for the study of asymptotic problems in quantum fields, network theory and far beyond.
Graphs in Perturbation Theory
Graphs in Perturbation Theory - 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 Graphs in Perturbation Theory write by Michael Borinsky. This book was released on 2018. Graphs in Perturbation Theory available in PDF, EPUB and Kindle.
Large-Order Behaviour of Perturbation Theory
Large-Order Behaviour of Perturbation Theory - 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 Large-Order Behaviour of Perturbation Theory write by J.C. Le Guillou. This book was released on 2012-12-02. Large-Order Behaviour of Perturbation Theory available in PDF, EPUB and Kindle. This volume is concerned with the determination of the behaviour of perturbation theory at large orders in quantum mechanics and quantum field theory, and its application to the problem of summation of perturbation series. Perturbation series in quantum field theory and in many quantum mechanics models are only asymptotic and thus diverge for all values of the expansion parameter. Their behaviour at large orders provides information about whether they define the theory uniquely (the problem of Borel summability). It suggests methods to extract numerical information from the series when the expansion parameter is not small. The articles reprinted here deal with the explicit evaluation of large-order behaviour in many quantum mechanics and field theory models. The large-order behaviour is related to barrier penetration effects for unphysical values of the expansion parameter, which can be calculated by WKB or instanton methods. The calculation of critical exponents of &fgr;4 field theory is presented as a practical application.
Perturbation theory for linear operators
Perturbation theory for linear operators - 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 Perturbation theory for linear operators write by Tosio Kato. This book was released on 2013-06-29. Perturbation theory for linear operators available in PDF, EPUB and Kindle.
Unlinked-graph shift in Møller-Plesset perturbation theory
Unlinked-graph shift in Møller-Plesset perturbation theory - 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 Unlinked-graph shift in Møller-Plesset perturbation theory write by Klaus Dietz. This book was released on 1992. Unlinked-graph shift in Møller-Plesset perturbation theory available in PDF, EPUB and Kindle.
