Nonperturbative Quantum Field Theory And The Structure Of Matter

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Nonperturbative Quantum Field Theory and the Structure of Matter

Author : T. Borne
Publisher : Springer Science & Business Media
ISBN 13 : 0306471310
Total Pages : 343 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Nonperturbative Quantum Field Theory and the Structure of Matter by : T. Borne

Download or read book Nonperturbative Quantum Field Theory and the Structure of Matter written by T. Borne and published by Springer Science & Business Media. This book was released on 2005-12-19 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book, which presents a new view of quantum field theory, may serve as a research monograph and an alternative textbook examining topics which are not usually treated in conventional works." "Audience: This volume will appeal to researchers concerned with the foundation of the theory of matter and forces including gravitation. It will also be interesting to those working with quantum field theoretic methods in various disciplines, such as particle physics, nuclear physics, condensed mater physics, and relativity."--Jacket.

Nonperturbative Quantum Field Theory and the Structure of Matter

Author : T. Borne
Publisher : Springer
ISBN 13 : 9789401738897
Total Pages : 327 pages
Book Rating : 4.7/5 (388 download)

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Book Synopsis Nonperturbative Quantum Field Theory and the Structure of Matter by : T. Borne

Download or read book Nonperturbative Quantum Field Theory and the Structure of Matter written by T. Borne and published by Springer. This book was released on 2014-03-14 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonperturbative Quantum Field Theory and the Structure of Matter

Author : Thomas Borne
Publisher : Springer
ISBN 13 :
Total Pages : 352 pages
Book Rating : 4.X/5 (4 download)

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Book Synopsis Nonperturbative Quantum Field Theory and the Structure of Matter by : Thomas Borne

Download or read book Nonperturbative Quantum Field Theory and the Structure of Matter written by Thomas Borne and published by Springer. This book was released on 2001-02-28 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book, which presents a new view of quantum field theory, may serve as a research monograph and an alternative textbook examining topics which are not usually treated in conventional works." "Audience: This volume will appeal to researchers concerned with the foundation of the theory of matter and forces including gravitation. It will also be interesting to those working with quantum field theoretic methods in various disciplines, such as particle physics, nuclear physics, condensed mater physics, and relativity."--Jacket.

Non-perturbative Quantum Field Theory

Author : Jürg Fröhlich
Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789810204327
Total Pages : 841 pages
Book Rating : 4.2/5 (43 download)

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Book Synopsis Non-perturbative Quantum Field Theory by : Jürg Fröhlich

Download or read book Non-perturbative Quantum Field Theory written by Jürg Fröhlich and published by World Scientific Publishing Company Incorporated. This book was released on 1992 with total page 841 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Condensed Matter Field Theory

Author : Alexander Altland
Publisher : Cambridge University Press
ISBN 13 : 0521769752
Total Pages : 785 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Condensed Matter Field Theory by : Alexander Altland

Download or read book Condensed Matter Field Theory written by Alexander Altland and published by Cambridge University Press. This book was released on 2010-03-11 with total page 785 pages. Available in PDF, EPUB and Kindle. Book excerpt: This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.

Quantum Field Theory in Condensed Matter Physics

Author : Naoto Nagaosa
Publisher : Springer Science & Business Media
ISBN 13 : 3662037742
Total Pages : 213 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Quantum Field Theory in Condensed Matter Physics by : Naoto Nagaosa

Download or read book Quantum Field Theory in Condensed Matter Physics written by Naoto Nagaosa and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an approachable introduction to the important topics and recent developments in the field of condensed matter physics. First, the general language of quantum field theory is developed in a way appropriate for dealing with systems having a large number of degrees of freedom. This paves the way for a description of the basic processes in such systems. Applications include various aspects of superfluidity and superconductivity, as well as a detailed description of the fractional quantum Hall liquid.

Quantum Field Theory in Condensed Matter Physics

Author : Alexei M. Tsvelik
Publisher : Cambridge University Press
ISBN 13 : 1139440500
Total Pages : 361 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Quantum Field Theory in Condensed Matter Physics by : Alexei M. Tsvelik

Download or read book Quantum Field Theory in Condensed Matter Physics written by Alexei M. Tsvelik and published by Cambridge University Press. This book was released on 2007-01-18 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a course in modern quantum field theory as seen through the eyes of a theorist working in condensed matter physics. It contains a gentle introduction to the subject and therefore can be used even by graduate students. The introductory parts include a derivation of the path integral representation, Feynman diagrams and elements of the theory of metals including a discussion of Landau–Fermi liquid theory. In later chapters the discussion gradually turns to more advanced methods used in the theory of strongly correlated systems. The book contains a thorough exposition of such non-perturbative techniques as 1/N-expansion, bosonization (Abelian and non-Abelian), conformal field theory and theory of integrable systems. The book is intended for graduate students, postdoctoral associates and independent researchers working in condensed matter physics.

Quantum Field Theory I: Basics in Mathematics and Physics

Author : Eberhard Zeidler
Publisher : Springer Science & Business Media
ISBN 13 : 354034764X
Total Pages : 1060 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Quantum Field Theory I: Basics in Mathematics and Physics by : Eberhard Zeidler

Download or read book Quantum Field Theory I: Basics in Mathematics and Physics written by Eberhard Zeidler and published by Springer Science & Business Media. This book was released on 2007-04-18 with total page 1060 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists, at levels ranging from advanced undergraduate students to professional scientists. The book bridges the acknowledged gap between the different languages used by mathematicians and physicists. For students of mathematics the author shows that detailed knowledge of the physical background helps to motivate the mathematical subjects and to discover interesting interrelationships between quite different mathematical topics. For students of physics, fairly advanced mathematics is presented, which goes beyond the usual curriculum in physics.

Geometry, Topology and Quantum Field Theory

Author : P. Bandyopadhyay
Publisher : Springer Science & Business Media
ISBN 13 : 9401716978
Total Pages : 225 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Geometry, Topology and Quantum Field Theory by : P. Bandyopadhyay

Download or read book Geometry, Topology and Quantum Field Theory written by P. Bandyopadhyay and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a monograph on geometrical and topological features which arise in quantum field theory. It is well known that when a chiral fermion interacts with a gauge field we have chiral anomaly which corresponds to the fact that divergence of the axial vector current does not vanish. It is observed that this is related to certain topological features associated with the fermion and leads to the realization of the topological origin of fermion number as well as the Berry phase. The role of gauge fields in the quantization procedure has its implications in these topological features of a fermion and helps us to consider a massive fermion as a soliton (skyrrnion). In this formalism chiral anomaly is found to be responsible for mass generation. This has its relevance in electroweak theory where it is observed that weak interaction gauge bosons attain mass topologically. The geometrical feature of a skyrmion also helps us to realize the internal symmetry of hadrons from reflection group. Finally it has been shown that noncommutative geometry where the space time manifold is taken to be X = M x Zz has its relevance in the description of a massive 4 fermion as a skyrmion when the discrete space is considered as the internal space and the symmetry breaking leads to chiral anomaly. In chap. l preliminary mathematical formulations related to the spinor structure have been discussed. In chap.

Structural Aspects Of Quantum Field Theory And Noncommutative Geometry (Second Edition) (In 2 Volumes)

Author : Gerhard Grensing
Publisher : World Scientific
ISBN 13 : 9811237093
Total Pages : 1656 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Structural Aspects Of Quantum Field Theory And Noncommutative Geometry (Second Edition) (In 2 Volumes) by : Gerhard Grensing

Download or read book Structural Aspects Of Quantum Field Theory And Noncommutative Geometry (Second Edition) (In 2 Volumes) written by Gerhard Grensing and published by World Scientific. This book was released on 2021-07-15 with total page 1656 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the subject of quantum field theory. It is divided into two volumes. The first volume can serve as a textbook on main techniques and results of quantum field theory, while the second treats more recent developments, in particular the subject of quantum groups and noncommutative geometry, and their interrelation.The second edition is extended by additional material, mostly concerning the impact of noncommutative geometry on theories beyond the standard model of particle physics, especially the possible role of torsion in the context of the dark matter problem. Furthermore, the text includes a discussion of the Randall-Sundrum model and the Seiberg-Witten equations.

Modern Quantum Field Theory

Author : Tom Banks
Publisher : Cambridge University Press
ISBN 13 : 1139473891
Total Pages : 323 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Modern Quantum Field Theory by : Tom Banks

Download or read book Modern Quantum Field Theory written by Tom Banks and published by Cambridge University Press. This book was released on 2008-09-18 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting a variety of topics that are only briefly touched on in other texts, this book provides a thorough introduction to the techniques of field theory. Covering Feynman diagrams and path integrals, the author emphasizes the path integral approach, the Wilsonian approach to renormalization, and the physics of non-abelian gauge theory. It provides a thorough treatment of quark confinement and chiral symmetry breaking, topics not usually covered in other texts at this level. The Standard Model of particle physics is discussed in detail. Connections with condensed matter physics are explored, and there is a brief, but detailed, treatment of non-perturbative semi-classical methods. Ideal for graduate students in high energy physics and condensed matter physics, the book contains many problems,which help students practise the key techniques of quantum field theory.

Quantum Mechanics

Author : Ajoy Ghatak
Publisher : Springer Science & Business Media
ISBN 13 : 9781402021299
Total Pages : 936 pages
Book Rating : 4.0/5 (212 download)

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Book Synopsis Quantum Mechanics by : Ajoy Ghatak

Download or read book Quantum Mechanics written by Ajoy Ghatak and published by Springer Science & Business Media. This book was released on 2004-03-31 with total page 936 pages. Available in PDF, EPUB and Kindle. Book excerpt: An understanding of quantum mechanics is vital to all students of physics, chemistry and electrical engineering, but requires a lot of mathematical concepts, the details of which are given with great clarity in this book. Various concepts have been derived from first principles, so it can also be used for self-study. The chapters on the JWKB approximation, time-independent perturbation theory and effects of magnetic field stand out for their clarity and easy-to-understand mathematics. Two complete chapters on the linear harmonic oscillator provide a very detailed discussion of one of the most fundamental problems in quantum mechanics. Operator algebra is used to show the ease with which one can calculate the harmonic oscillator wave functions and study the evolution of the coherent state. Similarly, three chapters on angular momentum give a detailed account of this important problem. Perhaps the most attractive feature of the book is the excellent balance between theory and applications and the large number of applications in such diverse areas as astrophysics, nuclear physics, atomic and molecular spectroscopy, solid-state physics, and quantum well structures.

Quantum Field Theory of Non-equilibrium States

Author : Jørgen Rammer
Publisher : Cambridge University Press
ISBN 13 : 9780521188005
Total Pages : 0 pages
Book Rating : 4.1/5 (88 download)

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Book Synopsis Quantum Field Theory of Non-equilibrium States by : Jørgen Rammer

Download or read book Quantum Field Theory of Non-equilibrium States written by Jørgen Rammer and published by Cambridge University Press. This book was released on 2011-03-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum field theory is the application of quantum mechanics to systems with infinitely many degrees of freedom. This 2007 textbook presents quantum field theoretical applications to systems out of equilibrium. It introduces the real-time approach to non-equilibrium statistical mechanics and the quantum field theory of non-equilibrium states in general. It offers two ways of learning how to study non-equilibrium states of many-body systems: the mathematical canonical way and an easy intuitive way using Feynman diagrams. The latter provides an easy introduction to the powerful functional methods of field theory, and the use of Feynman diagrams to study classical stochastic dynamics is considered in detail. The developed real-time technique is applied to study numerous phenomena in many-body systems. Complete with numerous exercises to aid self-study, this textbook is suitable for graduate students in statistical mechanics and condensed matter physics.

Factorization Method in Quantum Mechanics

Author : Shi-Hai Dong
Publisher : Springer Science & Business Media
ISBN 13 : 1402057962
Total Pages : 308 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Factorization Method in Quantum Mechanics by : Shi-Hai Dong

Download or read book Factorization Method in Quantum Mechanics written by Shi-Hai Dong and published by Springer Science & Business Media. This book was released on 2007-04-01 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the factorization method in quantum mechanics at an advanced level, with the aim of putting mathematical and physical concepts and techniques like the factorization method, Lie algebras, matrix elements and quantum control at the reader’s disposal. For this purpose, the text provides a comprehensive description of the factorization method and its wide applications in quantum mechanics which complements the traditional coverage found in quantum mechanics textbooks.

Foundations of Quantum Mechanics, an Empiricist Approach

Author : W.M. de Muynck
Publisher : Springer Science & Business Media
ISBN 13 : 0306480476
Total Pages : 700 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Foundations of Quantum Mechanics, an Empiricist Approach by : W.M. de Muynck

Download or read book Foundations of Quantum Mechanics, an Empiricist Approach written by W.M. de Muynck and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: Taking a new perspective provided by a generalization of the mathematical formalism encompassing positive operator-valued measures, this book views old and new problems of the foundations of quantum mechanics. It demonstrates the crucial role of the generalized formalism in fundamental issues and practical applications.

Introduction to Soliton Theory: Applications to Mechanics

Author : Ligia Munteanu
Publisher : Springer Science & Business Media
ISBN 13 : 1402025777
Total Pages : 325 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Introduction to Soliton Theory: Applications to Mechanics by : Ligia Munteanu

Download or read book Introduction to Soliton Theory: Applications to Mechanics written by Ligia Munteanu and published by Springer Science & Business Media. This book was released on 2006-07-06 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is planned to provide the application of the soliton theory to solve certain practical problems selected from the fields of solid mechanics, fluid mechanics and biomechanics. The work is based mainly on the authors’ research carried out at their home institutes, and on some specified, significant results existing in the published literature. The methodology to study a given evolution equation is to seek the waves of permanent form, to test whether it possesses any symmetry properties, and whether it is stable and solitonic in nature. Students of physics, applied mathematics, and engineering are usually exposed to various branches of nonlinear mechanics, especially to the soliton theory. The soliton is regarded as an entity, a quasi-particle, which conserves its character and interacts with the surroundings and other solitons as a particle. It is related to a strange phenomenon, which consists in the propagation of certain waves without attenuation in dissipative media. This phenomenon has been known for about 200 years (it was described, for example, by the Joule Verne's novel Les histoires de Jean Marie Cabidoulin, Éd. Hetzel), but its detailed quantitative description became possible only in the last 30 years due to the exceptional development of computers. The discovery of the physical soliton is attributed to John Scott Russell. In 1834, Russell was observing a boat being drawn along a narrow channel by a pair of horses.

Applications of the Theory of Groups in Mechanics and Physics

Author : Petre P. Teodorescu
Publisher : Springer Science & Business Media
ISBN 13 : 9781402020469
Total Pages : 466 pages
Book Rating : 4.0/5 (24 download)

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Book Synopsis Applications of the Theory of Groups in Mechanics and Physics by : Petre P. Teodorescu

Download or read book Applications of the Theory of Groups in Mechanics and Physics written by Petre P. Teodorescu and published by Springer Science & Business Media. This book was released on 2004-04-30 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of group is fundamental in our days, not only in mathematics, but also in classical mechanics, electromagnetism, theory of relativity, quantum mechanics, theory of elementary particles, etc. This notion has developed during a century and this development is connected with the names of great mathematicians as E. Galois, A. L. Cauchy, C. F. Gauss, W. R. Hamilton, C. Jordan, S. Lie, E. Cartan, H. Weyl, E. Wigner, and of many others. In mathematics, as in other sciences, the simple and fertile ideas make their way with difficulty and slowly; however, this long history would have been of a minor interest, had the notion of group remained connected only with rather restricted domains of mathematics, those in which it occurred at the beginning. But at present, groups have invaded almost all mathematical disciplines, mechanics, the largest part of physics, of chemistry, etc. We may say, without exaggeration, that this is the most important idea that occurred in mathematics since the invention of infinitesimal calculus; indeed, the notion of group expresses, in a precise and operational form, the vague and universal ideas of regularity and symmetry. The notion of group led to a profound understanding of the character of the laws which govern natural phenomena, permitting to formulate new laws, correcting certain inadequate formulations and providing unitary and non contradictory formulations for the investigated phenomena.