Large Order Behaviour Of Perturbation Theory
DOWNLOAD
Download Large Order Behaviour Of Perturbation Theory PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Large Order Behaviour Of Perturbation Theory book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Large Order Behaviour Of Perturbation Theory
DOWNLOAD
Author : J.C. Le Guillou
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Large Order Behaviour Of Perturbation Theory written by J.C. Le Guillou and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Mathematics categories.
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.
Large Order Behaviour Of Perturbation Theory
DOWNLOAD
Author : Jean-Claude Le Guillou
language : en
Publisher: North Holland
Release Date : 1990-01-01
Large Order Behaviour Of Perturbation Theory written by Jean-Claude Le Guillou and has been published by North Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-01-01 with Science categories.
Volume 7.
The Large Order Behavior Of Perturbation Theory
DOWNLOAD
Author : Thomas Israel Banks
language : en
Publisher:
Release Date : 1973
The Large Order Behavior Of Perturbation Theory written by Thomas Israel Banks and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with categories.
Large Order Perturbation Theory And Summation Methods In Quantum Mechanics
DOWNLOAD
Author : Gustavo A. Arteca
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Large Order Perturbation Theory And Summation Methods In Quantum Mechanics written by Gustavo A. Arteca and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
The book provides a general, broad approach to aspects of perturbation theory. The aim has been to cover all topics of interest, from construction, analysis, and summation of perturbation series to applications. Emphasis is placed on simple methods, as well as clear, intuitive ideas stemming from the physics of systems of interest.
Large Order Perturbation Theory And Summation Methods In Quantum Mechanics
DOWNLOAD
Author : Gustavo Alberto Arteca
language : en
Publisher: Springer Verlag
Release Date : 1990
Large Order Perturbation Theory And Summation Methods In Quantum Mechanics written by Gustavo Alberto Arteca and has been published by Springer Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Science categories.
Perturbation Theory At Large Order
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1978
Perturbation Theory At Large Order written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with categories.
Two technical points are discussed in the method of Lipatov for extracting the large order behavior of field theories. The first is an adjustment of the integratin contour required to make the action bounded below. The second is a method for treating fluctations in the coupling constant exactly. 19 references.
Large Order Perturbation Theory And Summatin Methods In Quantum Mechanics
DOWNLOAD
Author : G. A. Arteca
language : en
Publisher:
Release Date : 1990
Large Order Perturbation Theory And Summatin Methods In Quantum Mechanics written by G. A. Arteca and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
Quantum Field Theory And Critical Phenomena
DOWNLOAD
Author : Jean Zinn-Justin
language : en
Publisher: Oxford University Press
Release Date : 2021-04-15
Quantum Field Theory And Critical Phenomena written by Jean Zinn-Justin and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-15 with Science categories.
Introduced as a quantum extension of Maxwell's classical theory, quantum electrodynamics has been the first example of a Quantum Field Theory (QFT). Eventually, QFT has become the framework for the discussion of all fundamental interactions at the microscopic scale except, possibly, gravity. More surprisingly, it has also provided a framework for the understanding of second order phase transitions in statistical mechanics. As this work illustrates, QFT is the natural framework for the discussion of most systems involving an infinite number of degrees of freedom with local couplings. These systems range from cold Bose gases at the condensation temperature (about ten nanokelvin) to conventional phase transitions (from a few degrees to several hundred) and high energy particle physics up to a TeV, altogether more than twenty orders of magnitude in the energy scale. Therefore, this text sets out to present a work in which the strong formal relations between particle physics and the theory of critical phenomena are systematically emphasized. This option explains some of the choices made in the presentation. A formulation in terms of field integrals has been adopted to study the properties of QFT. The language of partition and correlation functions has been used throughout, even in applications of QFT to particle physics. Renormalization and renormalization group properties are systematically discussed. The notion of effective field theory and the emergence of renormalisable theories are described. The consequences for fine tuning and triviality issue are emphasized. This fifth edition has been updated and fully revised, e.g. in particle physics with progress in neutrino physics and the discovery of the Higgs boson. The presentation has been made more homogeneous througout the volume, and emphasis has been put on the notion of effective field theory and discussion of the emergence of renormalisable theories.
Introduction To Quantum Mechanics
DOWNLOAD
Author : Harald J W Müller-Kirsten
language : en
Publisher: World Scientific Publishing Company
Release Date : 2006-03-03
Introduction To Quantum Mechanics written by Harald J W Müller-Kirsten and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-03 with Science categories.
After a consideration of basic quantum mechanics, this introduction aims at a side by side treatment of fundamental applications of the Schrödinger equation on the one hand and the applications of the path integral on the other. Different from traditional texts and using a systematic perturbation method, the solution of Schrödinger equations includes also those with anharmonic oscillator potentials, periodic potentials, screened Coulomb potentials and a typical singular potential, as well as the investigation of the large order behavior of the perturbation series. On the path integral side, after introduction of the basic ideas, the expansion around classical configurations in Euclidean time, such as instantons, is considered, and the method is applied in particular to anharmonic oscillator and periodic potentials. Numerous other aspects are treated on the way, thus providing the reader an instructive overview over diverse quantum mechanical phenomena, e.g. many other potentials, Green's functions, comparison with WKB, calculation of lifetimes and sojourn times, derivation of generating functions, the Coulomb problem in various coordinates, etc. All calculations are given in detail, so that the reader can follow every step.
Graphs In Perturbation Theory
DOWNLOAD
Author : Michael Borinsky
language : en
Publisher: Springer
Release Date : 2018-11-04
Graphs In Perturbation Theory written by Michael Borinsky and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-04 with Science categories.
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.