Solitons and Instantons; An Introduction to Solitons and Instantons in Quantum Field Theory PDF Download
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Author: R. Rajaraman
Publisher:
ISBN:
Category :
Languages : en
Pages : 409
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Book Description
Author: R. Rajaraman
Publisher:
ISBN:
Category :
Languages : en
Pages : 409
Get Book Here
Book Description
Author: R. Rajaraman
Publisher:
ISBN:
Category :
Languages : en
Pages : 409
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Book Description
Author: Erick J. Weinberg
Publisher: Cambridge University Press
ISBN: 0521114632
Category : Science
Languages : en
Pages : 341
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Book Description
An overview of classical solutions and their consequences in quantum field theory, high energy physics and cosmology for graduates and researchers.
Author: Maciej Dunajski
Publisher: Oxford University Press, USA
ISBN: 0198570627
Category : Language Arts & Disciplines
Languages : en
Pages : 374
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Book Description
A text aimed at third year undergraduates and graduates in mathematics and physics, presenting elementary twistor theory as a universal technique for solving differential equations in applied mathematics and theoretical physics.
Author: Tom Banks
Publisher: Cambridge University Press
ISBN: 1139473891
Category : Science
Languages : en
Pages : 323
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Book Description
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.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 409
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Book Description
Author: Nicholas Manton
Publisher: Cambridge University Press
ISBN: 1139454692
Category : Science
Languages : en
Pages : 507
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Book Description
Topological solitons occur in many nonlinear classical field theories. They are stable, particle-like objects, with finite mass and a smooth structure. Examples are monopoles and Skyrmions, Ginzburg-Landau vortices and sigma-model lumps, and Yang-Mills instantons. This book is a comprehensive survey of static topological solitons and their dynamical interactions. Particular emphasis is placed on the solitons which satisfy first-order Bogomolny equations. For these, the soliton dynamics can be investigated by finding the geodesics on the moduli space of static multi-soliton solutions. Remarkable scattering processes can be understood this way. The book starts with an introduction to classical field theory, and a survey of several mathematical techniques useful for understanding many types of topological soliton. Subsequent chapters explore key examples of solitons in one, two, three and four dimensions. The final chapter discusses the unstable sphaleron solutions which exist in several field theories.
Author: Maciej Dunajski
Publisher: Oxford University Press
ISBN: 0198872550
Category : Mathematics
Languages : en
Pages : 416
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Book Description
Most nonlinear differential equations arising in natural sciences admit chaotic behaviour and cannot be solved analytically. Integrable systems lie on the other extreme. They possess regular, stable, and well-behaved solutions known as solitons and instantons. These solutions play important roles in pure and applied mathematics as well as in theoretical physics where they describe configurations topologically different from vacuum. While integrable equations in lower space-time dimensions can be solved using the inverse scattering transform, the higher-dimensional examples of anti-self-dual Yang-Mills and Einstein equations require twistor theory. Both techniques rely on an ability to represent nonlinear equations as compatibility conditions for overdetermined systems of linear differential equations. The book provides a self-contained and accessible introduction to the subject. It starts with an introduction to integrability of ordinary and partial differential equations. Subsequent chapters explore symmetry analysis, gauge theory, vortices, gravitational instantons, twistor transforms, and anti-self-duality equations. The three appendices cover basic differential geometry, complex manifold theory, and the exterior differential system.
Author: Tai-Kai Ng
Publisher: Wiley-VCH
ISBN: 9783527407262
Category : Science
Languages : en
Pages : 304
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Book Description
This is the first introductory textbook on quantum field theory to be written from the point of view of condensed matter physics. As such, it presents the basic concepts and techniques of statistical field theory, clearly explaining how and why they are integrated into modern (and classical) field theory, and includes the latest developments. Written by an expert in the field, with a broad experience in teaching and training, it manages to present such substantial topics as phases and phase transitions or solitons and instantons in an accessible and concise way. Divided into two parts, the first covers fundamental physics and the mathematics background needed by students in order to enter the field, while the second part discusses applications of quantum field theory to a few basic problems. The emphasis here lies on how modern concepts of quantum field theory are embedded in these approaches, and also on the limitations of standard quantum field theory techniques in facing 'real' physics problems. Throughout, there are numerous end-of-chapter problems, and a free solutions manual is available for lecturers.
Author: Giulio Soliani
Publisher: World Scientific
ISBN: 9814513504
Category : Science
Languages : en
Pages : 837
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Book Description
This is the most up-to-date book on solitons and is divided into two parts. Part 1: Detailed introductory lectures on different aspects of solitons plus lectures on the mathematical aspects on this subject. Part 2: Is a collection of reprints on mathematical theories of solitons, solitons in field theory, solitons as particles and their properties, especially topological and physical properties. This book is aimed at a wide audience of physicists and mathematicians. It is an ideal reference book for young researchers and graduate students.
