Non Perturbative Description Of Quantum Systems
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Author |
: Ilya Feranchuk |
Publisher |
: Springer |
Total Pages |
: 374 |
Release |
: 2014-12-18 |
ISBN-10 |
: 9783319130064 |
ISBN-13 |
: 3319130064 |
Rating |
: 4/5 (64 Downloads) |
Synopsis Non-perturbative Description of Quantum Systems by : Ilya Feranchuk
This book introduces systematically the operator method for the solution of the Schrödinger equation. This method permits to describe the states of quantum systems in the entire range of parameters of Hamiltonian with a predefined accuracy. The operator method is unique compared with other non-perturbative methods due to its ability to deliver in zeroth approximation the uniformly suitable estimate for both ground and excited states of quantum system. The method has been generalized for the application to quantum statistics and quantum field theory. In this book, the numerous applications of operator method for various physical systems are demonstrated. Simple models are used to illustrate the basic principles of the method which are further used for the solution of complex problems of quantum theory for many-particle systems. The results obtained are supplemented by numerical calculations, presented as tables and figures.
Author |
: G. Hooft |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 603 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9781461307297 |
ISBN-13 |
: 1461307295 |
Rating |
: 4/5 (97 Downloads) |
Synopsis Nonperturbative Quantum Field Theory by : G. Hooft
During the past 15 years, quantum field theory and classical statistical mechanics have merged into a single field, and the need for nonperturbative methods for the description of critical phenomena in statistical mechanics as well as for problems in elementary particle physics are generally acknowledged. Such methods formed the central theme of the 1987 Cargese Advanced Study Institut. e on "Nonpert. urbat. ive Quantum Field Theory." The use of conformal symmet. ry has been of central interest in recent years, and was a main subject at. t. he ASI. Conformal invariant quantum field theory describes statistical mechanical systems exactly at a critical point, and can be analysed to a remarkable ext. ent. by group t. heoretical methods. Very strong results have been obtained for 2-dimensional systems. Conformal field theory is also the basis of string theory, which offers some hope of providing a unified t. heory of all interactions between elementary particles. Accordingly, a number of lectures and seminars were presented on these two topics. After syst. ematic introductory lectures, conformal field theory on Riemann surfaces, orbifolds, sigma models, and application of loop group theory and Grassmannians were discussed, and some ideas on modular geometry were presented. Other lectures combined' traditional techniques of constructive quant. um field theory with new methods such as the use of index-t. heorems and infinite dimensional (Kac Moody) symmetry groups. The problems encountered in a quantum mechanical description of black holes were discussed in detail.
Author |
: B. L. Ioffe |
Publisher |
: Cambridge University Press |
Total Pages |
: 597 |
Release |
: 2010-01-21 |
ISBN-10 |
: 9780521631488 |
ISBN-13 |
: 0521631483 |
Rating |
: 4/5 (88 Downloads) |
Synopsis Quantum Chromodynamics by : B. L. Ioffe
Aimed at graduate students and researchers in theoretical physics, this book presents the modern theory of strong interaction: quantum chromodynamics (QCD). The book exposes various perturbative and nonperturbative approaches to the theory, including chiral effective theory, the problems of anomalies, vacuum tunnel transitions, and the problem of divergence of the perturbative series. The QCD sum rules approach is exposed in detail. A great variety of hadronic properties (masses of mesons and baryons, magnetic moments, form factors, quark distributions in hadrons, etc.) have been found using this method. The evolution of hadronic structure functions is presented in detail, together with polarization phenomena. The problem of jets in QCD is treated through theoretical description and experimental observation. The connection with Regge theory is emphasized. The book covers many aspects of theory which are not discussed in other books, such as CET, QCD sum rules, and BFKL. • Provides a deep understanding of various aspects of the modern theory of strong interaction • Presents the general properties of QCD, before exploring perturbative and nonperturbative approaches • Discusses aspects of the theory such as CET, QCD sum rules, and BFKL, which are not covered in other books
Author |
: Leonid M. Barkovsky |
Publisher |
: World Scientific |
Total Pages |
: 408 |
Release |
: 2004 |
ISBN-10 |
: 9812702296 |
ISBN-13 |
: 9789812702296 |
Rating |
: 4/5 (96 Downloads) |
Synopsis tudes on Theoretical Physics by : Leonid M. Barkovsky
- A collection of papers spanning decades and touching on a wide variety of research topics on modern theoretical physics written by leading scientists from the Belarusian State University bull; Provides concise information about the methods and applicati.
Author |
: Franco Strocchi |
Publisher |
: Oxford University Press, USA |
Total Pages |
: 270 |
Release |
: 2013-02-14 |
ISBN-10 |
: 9780199671571 |
ISBN-13 |
: 0199671575 |
Rating |
: 4/5 (71 Downloads) |
Synopsis An Introduction to Non-Perturbative Foundations of Quantum Field Theory by : Franco Strocchi
The book discusses fundamental aspects of Quantum Field Theory and of Gauge theories, with attention to mathematical consistency. Basic issues of the standard model of elementary particles (Higgs mechanism and chiral symmetry breaking in quantum Chromodynamics) are treated without relying on the perturbative expansion and on instanton calculus.
Author |
: Yitzhak Frishman |
Publisher |
: Cambridge University Press |
Total Pages |
: 455 |
Release |
: 2010-04-08 |
ISBN-10 |
: 9781139486484 |
ISBN-13 |
: 1139486489 |
Rating |
: 4/5 (84 Downloads) |
Synopsis Non-Perturbative Field Theory by : Yitzhak Frishman
Providing a new perspective on quantum field theory, this book is useful for graduate students and researchers within and outside the field. It describes non-perturbative methods, and explores two-dimensional and four-dimensional gauge dynamics using those methods. Applications are thoroughly described.
Author |
: Ilya Feranchuk |
Publisher |
: |
Total Pages |
: 380 |
Release |
: 2015-01-31 |
ISBN-10 |
: 3319130072 |
ISBN-13 |
: 9783319130071 |
Rating |
: 4/5 (72 Downloads) |
Synopsis Non-Perturbative Description of Quantum Systems by : Ilya Feranchuk
Author |
: Abhay Ashtekar |
Publisher |
: World Scientific |
Total Pages |
: 356 |
Release |
: 1991 |
ISBN-10 |
: 9789810205744 |
ISBN-13 |
: 9810205740 |
Rating |
: 4/5 (44 Downloads) |
Synopsis Lectures on Non-perturbative Canonical Gravity by : Abhay Ashtekar
Notes prepared in Collaboration with Ranjeet S Tate It is now generally recognized that perturbative field theoretical methods that have been highly successful in the quantum description of non-gravitational interactions cannot be used as a means of constructing a quantum theory of gravity. The primary aim of the book is to present an up- to-date account of a non-perturbative, canonical quantization program for gravity. Many of the technical results obtained in the process are of interest also to differential geometry, classical general relativity and QCD. The program as a whole was highlighted in virtually every major conference in gravitational physics over the past three years.
Author |
: Marcos Mariño |
Publisher |
: Cambridge University Press |
Total Pages |
: 381 |
Release |
: 2015-09-03 |
ISBN-10 |
: 9781316368541 |
ISBN-13 |
: 1316368548 |
Rating |
: 4/5 (41 Downloads) |
Synopsis Instantons and Large N by : Marcos Mariño
This highly pedagogical textbook for graduate students in particle, theoretical and mathematical physics, explores advanced topics of quantum field theory. Clearly divided into two parts; the first focuses on instantons with a detailed exposition of instantons in quantum mechanics, supersymmetric quantum mechanics, the large order behavior of perturbation theory, and Yang–Mills theories, before moving on to examine the large N expansion in quantum field theory. The organised presentation style, in addition to detailed mathematical derivations, worked examples and applications throughout, enables students to gain practical experience with the tools necessary to start research. The author includes recent developments on the large order behavior of perturbation theory and on large N instantons, and updates existing treatments of classic topics, to ensure that this is a practical and contemporary guide for students developing their understanding of the intricacies of quantum field theory.
Author |
: Jürg Fröhlich |
Publisher |
: World Scientific Publishing Company Incorporated |
Total Pages |
: 841 |
Release |
: 1992 |
ISBN-10 |
: 9810204329 |
ISBN-13 |
: 9789810204327 |
Rating |
: 4/5 (29 Downloads) |
Synopsis Non-perturbative Quantum Field Theory by : Jürg Fröhlich
Compiled to illustrate the recent history of Quantum Field Theory and its trends, this collection of selected reprints by Jürg Fröhlich, a leading theoretician in the field, is a comprehensive guide of the more mathematical aspects of the subject. Results and methods of the past fifteen years are reviewed. The analytical methods employed are non-perturbative and, for the larger part, mathematically rigorous. Most articles are review articles surveying certain important developments in quantum field theory and guiding the reader towards the original literature.The volume begins with a comprehensive introduction by Jürg Fröhlich.The theory of phase transitions and continuous symmetry breaking is reviewed in the first section. The second section discusses the non-perturbative quantization of topological solitons. The third section is devoted to the study of gauge fields. A paper on the triviality of λϖ4 — theory in four and more dimensions is found in the fourth section, while the fifth contains two articles on “random geometry”. The sixth and final part addresses topics in low-dimensional quantum field theory, including braid statistics, two-dimensional conformal field theory and an application to condensed matter theory.