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Author : Gerald Dunne
Publisher :
ISBN 13 :
Total Pages : 217 pages
Book Rating : 4.:/5 (919 download)
Download or read book Self-dual Chern-Simons Theories written by Gerald Dunne and published by . This book was released on 1995 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gerald Dunne
Publisher : Springer Science & Business Media
ISBN 13 : 3540447776
Total Pages : 226 pages
Book Rating : 4.5/5 (44 download)
Download or read book Self-Dual Chern-Simons Theories written by Gerald Dunne and published by Springer Science & Business Media. This book was released on 2009-02-13 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Self-duality greatly reduces the mathematical difficulties of a theory but it is also a notion of considerable physical significance. The new class of self-dual Chern-Simons theories discussed in detail in this book arise in the context of anyonic quantum field theory and have applications to models such as the quantum Hall effect, anyonic superconductivity, and Aharonov-Bohm scattering. There are also interesting connections with the theory of integrable models. The author presents the abelian and non-abelian models for relativistic and non-relativistic realizations of the self-dual Chern-Simons theories and finishes with some applications in quantum physics. The book is written for advanced students and researchers in mathematical, particle, and condensed matter physics.
Author : P. (Kbh. Univ. Niels Bohr Institutet) Olesen
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (488 download)
Download or read book Soliton condensation in some self-dual Chern-Simons theories written by P. (Kbh. Univ. Niels Bohr Institutet) Olesen and published by . This book was released on 1991 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joel Spruck
Publisher :
ISBN 13 :
Total Pages : 21 pages
Book Rating : 4.:/5 (897 download)
Download or read book The Existence of Non-topological Solitons in the Self-dual Chern-Simons Theory written by Joel Spruck and published by . This book was released on 1991 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kihyun Kim
Publisher : American Mathematical Society
ISBN 13 : 147046120X
Total Pages : 140 pages
Book Rating : 4.4/5 (74 download)
Download or read book On Pseudoconformal Blow-Up Solutions to the Self-Dual Chern-Simons-Schrödinger Equation: Existence, Uniqueness, and Instability written by Kihyun Kim and published by American Mathematical Society. This book was released on 2023-04-07 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Author : University of Minnesota. Institute for Mathematics and Its Applications
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (123 download)
Download or read book The Existence of Non-topological Multivortex Solutions in the Relativistic Self-dual Chern-Simons Theory written by University of Minnesota. Institute for Mathematics and Its Applications and published by . This book was released on 1999 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gabriella Tarantello
Publisher : Springer Science & Business Media
ISBN 13 : 0817646086
Total Pages : 335 pages
Book Rating : 4.8/5 (176 download)
Download or read book Selfdual Gauge Field Vortices written by Gabriella Tarantello and published by Springer Science & Business Media. This book was released on 2008-04-16 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph discusses specific examples of selfdual gauge field structures, including the Chern–Simons model, the abelian–Higgs model, and Yang–Mills gauge field theory. The author builds a foundation for gauge theory and selfdual vortices by introducing the basic mathematical language of gauge theory and formulating examples of Chern–Simons–Higgs theories (in both abelian and non-abelian settings). Thereafter, the Electroweak theory and self-gravitating Electroweak strings are examined. The final chapters treat elliptic problems involving Chern–Simmons models, concentration-compactness principles, and Maxwell–Chern–Simons vortices.
Author : A. Comtet
Publisher : Springer Science & Business Media
ISBN 13 : 3540466371
Total Pages : 934 pages
Book Rating : 4.5/5 (44 download)
Download or read book Aspects topologiques de la physique en basse dimension. Topological aspects of low dimensional systems written by A. Comtet and published by Springer Science & Business Media. This book was released on 2003-07-01 with total page 934 pages. Available in PDF, EPUB and Kindle. Book excerpt: Session LXIX. 7 - 31 July 1998
Author : Haim Brzis
Publisher : World Scientific
ISBN 13 : 9812382623
Total Pages : 302 pages
Book Rating : 4.8/5 (123 download)
Download or read book Topological Methods, Variational Methods and Their Applications written by Haim Brzis and published by World Scientific. This book was released on 2003 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: ICM 2002 Satellite Conference on Nonlinear Analysis was held in the period: August 1418, 2002 at Taiyuan, Shanxi Province, China. This conference was organized by Mathematical School of Peking University, Academy of Mathematics and System Sciences of Chinese Academy of Sciences, Mathematical school of Nankai University, and Department of Mathematics of Shanxi University, and was sponsored by Shanxi Province Education Committee, Tian Yuan Mathematics Foundation, and Shanxi University. 166 mathematicians from 21 countries and areas in the world attended the conference. 53 invited speakers and 30 contributors presented their lectures. This conference aims at an overview of the recent development in nonlinear analysis. It covers the following topics: variational methods, topological methods, fixed point theory, bifurcations, nonlinear spectral theory, nonlinear Schrvdinger equations, semilinear elliptic equations, Hamiltonian systems, central configuration in N-body problems and variational problems arising in geometry and physics.
Author : Henri Berestycki
Publisher : Springer Science & Business Media
ISBN 13 : 9401003076
Total Pages : 525 pages
Book Rating : 4.4/5 (1 download)
Download or read book Nonlinear PDE’s in Condensed Matter and Reactive Flows written by Henri Berestycki and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear partial differential equations abound in modern physics. The problems arising in these fields lead to fascinating questions and, at the same time, progress in understanding the mathematical structures is of great importance to the models. Nevertheless, activity in one of the approaches is not always sufficiently in touch with developments in the other field. The book presents the joint efforts of mathematicians and physicists involved in modelling reactive flows, in particular superconductivity and superfluidity. Certain contributions are fundamental to an understanding of such cutting-edge research topics as rotating Bose-Einstein condensates, Kolmogorov-Zakharov solutions for weak turbulence equations, and the propagation of fronts in heterogeneous media.
Author :
Publisher :
ISBN 13 :
Total Pages : 800 pages
Book Rating : 4.E/5 ( download)
Download or read book Journal of the Korean Mathematical Society written by and published by . This book was released on 2007 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yoon Pyo Hong
Publisher :
ISBN 13 :
Total Pages : 242 pages
Book Rating : 4.:/5 (35 download)
Download or read book Gauge Theory Duality and Chern-Simons Theory written by Yoon Pyo Hong and published by . This book was released on 2009 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir G. Turaev
Publisher : European Mathematical Society
ISBN 13 : 9783037190869
Total Pages : 300 pages
Book Rating : 4.1/5 (98 download)
Download or read book Homotopy Quantum Field Theory written by Vladimir G. Turaev and published by European Mathematical Society. This book was released on 2010 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Homotopy Quantum Field Theory (HQFT) is a branch of Topological Quantum Field Theory founded by E. Witten and M. Atiyah. It applies ideas from theoretical physics to study principal bundles over manifolds and, more generally, homotopy classes of maps from manifolds to a fixed target space. This book is the first systematic exposition of Homotopy Quantum Field Theory. It starts with a formal definition of an HQFT and provides examples of HQFTs in all dimensions. The main body of the text is focused on $2$-dimensional and $3$-dimensional HQFTs. A study of these HQFTs leads to new algebraic objects: crossed Frobenius group-algebras, crossed ribbon group-categories, and Hopf group-coalgebras. These notions and their connections with HQFTs are discussed in detail. The text ends with several appendices including an outline of recent developments and a list of open problems. Three appendices by M. Muger and A. Virelizier summarize their work in this area. The book is addressed to mathematicians, theoretical physicists, and graduate students interested in topological aspects of quantum field theory. The exposition is self-contained and well suited for a one-semester graduate course. Prerequisites include only basics of algebra and topology.
Author : Raoul Bott
Publisher : Springer Science & Business Media
ISBN 13 : 1475739516
Total Pages : 319 pages
Book Rating : 4.4/5 (757 download)
Download or read book Differential Forms in Algebraic Topology written by Raoul Bott and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developed from a first-year graduate course in algebraic topology, this text is an informal introduction to some of the main ideas of contemporary homotopy and cohomology theory. The materials are structured around four core areas: de Rham theory, the Cech-de Rham complex, spectral sequences, and characteristic classes. By using the de Rham theory of differential forms as a prototype of cohomology, the machineries of algebraic topology are made easier to assimilate. With its stress on concreteness, motivation, and readability, this book is equally suitable for self-study and as a one-semester course in topology.
Author :
Publisher :
ISBN 13 :
Total Pages : 636 pages
Book Rating : 4.E/5 ( download)
Download or read book Proceedings written by and published by . This book was released on 1994 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publishes research papers in the mathematical and physical sciences. Continues: Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences. Continued by: Proceedings. Mathematical, physical, and engineering sciences.
Author : Dongho Chae
Publisher :
ISBN 13 :
Total Pages : 168 pages
Book Rating : 4.3/5 (91 download)
Download or read book Proceedings of International Workshop on Mathematical and Physical Aspects of Nonlinear Field Theories written by Dongho Chae and published by . This book was released on 1998 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mokhtar Hassaine
Publisher : World Scientific
ISBN 13 : 9814730955
Total Pages : 149 pages
Book Rating : 4.8/5 (147 download)
Download or read book Chern-simons (Super)gravity written by Mokhtar Hassaine and published by World Scientific. This book was released on 2016-01-07 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'The authors provide an up-to-date, well-organised background and essential elements of supergravity notions as well as all relevant aspects of Chern-Simons forms in gravitation. The book is a self-contained, informative, and much-needed broad introduction into the latest quantum gravity concepts, with a main focus on Chern-Simons gravity and supersymmetry … The book represents a comprehensive and systematic pedagogical exposition on gravitational Chern-Simons (Super)gravity theories, their applications, together with a selection of related recent developments in the field.'Contemporary PhysicsThis book grew out of a set of lecture notes on gravitational Chern-Simons (CS) theories developed over the past decade for several schools and different audiences including graduate students and researchers.CS theories are gauge-invariant theories that can include gravity consistently. They are only defined in odd dimensions and represent a very special class of theories in the Lovelock family. Lovelock gravitation theories are the natural extensions of General Relativity for dimensions greater than four that yield second-order field equations for the metric. These theories also admit local supersymmetric extensions where supersymmetry is an off-shell symmetry of the action, as in a standard gauge theory.Apart from the arguments of mathematical elegance and beauty, the gravitational CS actions are exceptionally endowed with physical attributes that suggest the viability of a quantum interpretation. CS theories are gauge-invariant, scale-invariant and background independent; they have no dimensional coupling constants. All constants in the Lagrangian are fixed rational coefficients that cannot be adjusted without destroying gauge invariance. This exceptional status of CS systems makes them classically interesting to study, and quantum mechanically intriguing and promising.
