New Trends in Quantum Field Theory PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download New Trends in Quantum Field Theory PDF full book. Access full book title New Trends in Quantum Field Theory by A. Ganchev. Download full books in PDF and EPUB format.
Author: A. Ganchev
Publisher: International Scholars Publications
ISBN:
Category : Science
Languages : en
Pages : 376
Get Book Here
Book Description
The scope of the workshop held in Razlog in August to September 1995 encompassed quantum groups and noncommutative geometry (e.g. Grosse), classical and quantum integrable models (Nissimov), 2-dimensional conformal field theory (Fuchs), duality in gauge and string theory (Gomez), and differential geometric methods (Yazadjiev). Containing workshop lectures as well as concise research articles, the volume is divided into two parts: a lengthy first part on the forenamed subjects, and a more concise portion on vertex algebras (Kac). Distributed in the US by International Scholars Publishers. Annotation copyrighted by Book News, Inc., Portland, OR
Author: A. Ganchev
Publisher: International Scholars Publications
ISBN:
Category : Science
Languages : en
Pages : 376
Get Book Here
Book Description
The scope of the workshop held in Razlog in August to September 1995 encompassed quantum groups and noncommutative geometry (e.g. Grosse), classical and quantum integrable models (Nissimov), 2-dimensional conformal field theory (Fuchs), duality in gauge and string theory (Gomez), and differential geometric methods (Yazadjiev). Containing workshop lectures as well as concise research articles, the volume is divided into two parts: a lengthy first part on the forenamed subjects, and a more concise portion on vertex algebras (Kac). Distributed in the US by International Scholars Publishers. Annotation copyrighted by Book News, Inc., Portland, OR
Author: Anatolij Dvurecenskij
Publisher: Springer Science & Business Media
ISBN: 9401724229
Category : Mathematics
Languages : en
Pages : 551
Get Book Here
Book Description
D. Hilbert, in his famous program, formulated many open mathematical problems which were stimulating for the development of mathematics and a fruitful source of very deep and fundamental ideas. During the whole 20th century, mathematicians and specialists in other fields have been solving problems which can be traced back to Hilbert's program, and today there are many basic results stimulated by this program. It is sure that even at the beginning of the third millennium, mathematicians will still have much to do. One of his most interesting ideas, lying between mathematics and physics, is his sixth problem: To find a few physical axioms which, similar to the axioms of geometry, can describe a theory for a class of physical events that is as large as possible. We try to present some ideas inspired by Hilbert's sixth problem and give some partial results which may contribute to its solution. In the Thirties the situation in both physics and mathematics was very interesting. A.N. Kolmogorov published his fundamental work Grundbegriffe der Wahrschein lichkeitsrechnung in which he, for the first time, axiomatized modern probability theory. From the mathematical point of view, in Kolmogorov's model, the set L of ex perimentally verifiable events forms a Boolean a-algebra and, by the Loomis-Sikorski theorem, roughly speaking can be represented by a a-algebra S of subsets of some non-void set n.
Author: Boris Feigin
Publisher: World Scientific
ISBN: 9814462926
Category : Mathematics
Languages : en
Pages : 517
Get Book Here
Book Description
The present volume is the result of the international workshop on New Trends in Quantum Integrable Systems that was held in Kyoto, Japan, from 27 to 31 July 2009. As a continuation of the RIMS Research Project “Method of Algebraic Analysis in Integrable Systems” in 2004, the workshop's aim was to cover exciting new developments that have emerged during the recent years.Collected here are research articles based on the talks presented at the workshop, including the latest results obtained thereafter. The subjects discussed range across diverse areas such as correlation functions of solvable models, integrable models in quantum field theory, conformal field theory, mathematical aspects of Bethe ansatz, special functions and integrable differential/difference equations, representation theory of infinite dimensional algebras, integrable models and combinatorics.Through these topics, the reader can learn about the most recent developments in the field of quantum integrable systems and related areas of mathematical physics.
Author: Vladas Sidoravicius
Publisher: Springer Science & Business Media
ISBN: 9048128102
Category : Science
Languages : en
Pages : 886
Get Book Here
Book Description
This book collects selected papers written by invited and plenary speakers of the 15th International Congress on Mathematical Physics (ICMP) in the aftermath of the conference. In extensive review articles and expository texts as well as advanced research articles the world leading experts present the state of the art in modern mathematical physics. New mathematical concepts and ideas are introduced by prominent mathematicalphysicists and mathematicians, covering among others the fields of Dynamical Systems, Operator Algebras, Partial Differential Equations, Probability Theory, Random Matrices, Condensed Matter Physics, Statistical Mechanics, General Relativity, Quantum Mechanics, Quantum Field Theory, Quantum Information and String Theory. All together the contributions in this book give a panoramic view of the latest developments in mathematical physics. They will help readers with a general interest in mathematical physics to get an update on the most recent developments in their field, and give a broad overview on actual and future research directions in this fascinating and rapidly expanding area.
Author: Victor Ilisie
Publisher: Springer
ISBN: 3319229664
Category : Science
Languages : en
Pages : 193
Get Book Here
Book Description
This book uses less strict yet still formal mathematical language to clarify a variety of concepts in Quantum Field Theory that remain somewhat “fuzzy” in many books designed for undergraduates and fresh graduates. The aim is not to replace formal books on Quantum Field Theory, but rather to offer a helpful complementary tool for beginners in the field. Features include a reader-friendly introduction to tensor calculus and the concept of manifolds; a simple and robust treatment for dimensional regularization; a consistent explanation of the renormalization procedure, step by step and in a transparent manner at all orders, using the QED Lagrangian; and extensive treatment of infrared as well as ultraviolet divergences. The most general (Lorentz invariant) form of Noether's theorem is presented and applied to a few simple yet relevant examples in Quantum Field Theory. These and further interesting topics are addressed in a way that will be accessible for the target readership. Some familiarity with basic notions of Quantum Field Theory and the basics of Special Relativity is assumed.
Author: Young Suh Kim
Publisher: World Scientific
ISBN: 9814546445
Category :
Languages : en
Pages : 382
Get Book Here
Book Description
The purpose of the workshop is to discuss both local and global geometrical and topological effects in quantum systems, in the context of the new methods of investigation. The main topics are: non-perturbative methods in quantum theory; geometrical and topological effects in quantum dynamics; group-theoretical and algebraic methods in the theory of quantum systems; quantum systems in external fields and curved spaces; new results: from subnuclear physics to cosmology.
Author: Christian Bär
Publisher: Springer
ISBN: 3642027806
Category : Science
Languages : en
Pages : 167
Get Book Here
Book Description
After some decades of work a satisfactory theory of quantum gravity is still not available; moreover, there are indications that the original field theoretical approach may be better suited than originally expected. There, to first approximation, one is left with the problem of quantum field theory on Lorentzian manifolds. Surprisingly, this seemingly modest approach leads to far reaching conceptual and mathematical problems and to spectacular predictions, the most famous one being the Hawking radiation of black holes. Ingredients of this approach are the formulation of quantum physics in terms of C*-algebras, the geometry of Lorentzian manifolds, in particular their causal structure, and linear hyperbolic differential equations where the well-posedness of the Cauchy problem plays a distinguished role, as well as more recently the insights from suitable concepts such as microlocal analysis. This primer is an outgrowth of a compact course given by the editors and contributing authors to an audience of advanced graduate students and young researchers in the field, and assumes working knowledge of differential geometry and functional analysis on the part of the reader.
Author: E.S. Fradkin
Publisher: Springer Science & Business Media
ISBN: 9401587574
Category : Science
Languages : en
Pages : 472
Get Book Here
Book Description
Our prime concern in this book is to discuss some most interesting prosppcts that have occurred recently in conformally invariant quantum field theory in a D-diuwnsional space. One of the most promising trends is constructing an pxact solution for a cprtain class of models. This task seems to be quite feasible in the light of recent resllits. The situation here is to some extent similar to what was going on in the past ypars with the two-dimensional quantum field theory. Our investigation of conformal Ward identities in a D-dimensional space, carried out as far hack as the late H. J7Gs, showed that in the D-dimensional quantum field theory, irrespective of the type of interartion, there exists a special set of states of the field with the following property: if we rpqllire that one of these states should vanish, this determines an exact solution of 3. certain field model. These states are analogous to null-vectors which determine the minimal models in the two-dimensional field theory. On the other hand, the recent resparches supplied us with a number of indications on the existencp of an intinite-parampter algebra analogous to the Virasoro algebra in spaces of higher dimensions D 2: :~. It has also been shown that this algebra admits an operator rentral expansion. It seems to us that the above-mentioned models are field theoretical realizations of the representations of these new symmetries for D 2: ;3.
Author: Laurent Lellouch
Publisher: Oxford University Press
ISBN: 0199691606
Category : Mathematics
Languages : en
Pages : 756
Get Book Here
Book Description
The aim of the book is to familiarize the new generation of PhD students and postdoctoral fellows with the principles and methods of modern lattice field theory, which aims to resolve fundamental, non-perturbative questions about QCD without uncontrolled approximations.
Author: Jurg Frohlich
Publisher: World Scientific
ISBN: 9814506567
Category :
Languages : en
Pages : 855
Get Book Here
Book Description
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.
