Self Dual Chern Simons Theories
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Self Dual Chern Simons Theories
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Author : Gerald Dunne
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-02-13
Self Dual Chern Simons Theories written by Gerald Dunne and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-02-13 with Science categories.
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.
Selfdual Gauge Field Vortices
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Author : Gabriella Tarantello
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-04-16
Selfdual Gauge Field Vortices written by Gabriella Tarantello and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-16 with Science categories.
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.
On Pseudoconformal Blow Up Solutions To The Self Dual Chern Simons Schr Dinger Equation Existence Uniqueness And Instability
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Author : Kihyun Kim
language : en
Publisher: American Mathematical Society
Release Date : 2023-04-07
On Pseudoconformal Blow Up Solutions To The Self Dual Chern Simons Schr Dinger Equation Existence Uniqueness And Instability written by Kihyun Kim and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-07 with Mathematics categories.
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Loop Quantum Gravity For The Bewildered
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Author : Sundance Bilson-Thompson
language : en
Publisher: Springer Nature
Release Date :
Loop Quantum Gravity For The Bewildered written by Sundance Bilson-Thompson and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Aspects Topologiques De La Physique En Basse Dimension Topological Aspects Of Low Dimensional Systems
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Author : A. Comtet
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-07-01
Aspects Topologiques De La Physique En Basse Dimension Topological Aspects Of Low Dimensional Systems written by A. Comtet and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-01 with Science categories.
Session LXIX. 7 - 31 July 1998
Geometric Analysis And Pdes
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Author : Matthew J. Gursky
language : en
Publisher: Springer
Release Date : 2009-07-31
Geometric Analysis And Pdes written by Matthew J. Gursky and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-31 with Mathematics categories.
This volume contains lecture notes on key topics in geometric analysis, a growing mathematical subject which uses analytical techniques, mostly of partial differential equations, to treat problems in differential geometry and mathematical physics.
Fractional Statistics And Quantum Theory
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Author : Avinash Khare
language : en
Publisher: World Scientific
Release Date : 2005
Fractional Statistics And Quantum Theory written by Avinash Khare and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Science categories.
This book explains the subtleties of quantum statistical mechanics in lower dimensions and their possible ramifications in quantum theory. The discussion is at a pedagogical level and is addressed to both graduate students and advanced researchers with a reasonable background in quantum and statistical mechanics.Topics in the first part of the book include the flux tube model of anyons, the braid group and a detailed discussion about the various aspects of quantum and statistical mechanics of a noninteracting anyon gas.The second part of the book includes a detailed discussion about fractional statistics from the point of view of Chern-Simons theories. Topics covered here include Chern-Simons field theories, charged vortices, anyon superconductivity and the fractional quantum Hall effect.Since the publication of the first edition of the book, an exciting possibility has emerged, that of quantum computing using anyons. A section has therefore been included on this topic in the second edition. In addition, new sections have been added about scattering of anyons with hard disk repulsion as well as fractional exclusion statistics and negative probabilities.
Nonlinear Pde S In Condensed Matter And Reactive Flows
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Author : Henri Berestycki
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Nonlinear Pde S In Condensed Matter And Reactive Flows written by Henri Berestycki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Lqg For The Bewildered
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Author : Deepak Vaid
language : en
Publisher: Springer
Release Date : 2016-10-07
Lqg For The Bewildered written by Deepak Vaid and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-07 with Science categories.
This primer offers a concise introduction to Loop Quantum Gravity (LQG) - a theoretical framework for uniting Quantum Mechanics (QM) with General Relativity (GR). The emphasis is on the physical aspects of the framework and its historical development in terms of self-dual variables, still most suited for a first, pedagogical encounter with LQG. The text starts by reviewing GR and the very basics of Quantum Field Theory (QFT), and then explains in a concise and clear manner the steps leading from the Einstein-Hilbert action for gravity to the construction of the quantum states of geometry, known as spin-networks, and which provide the basis for the kinematical Hilbert space of quantum general relativity. Along the way the various associated concepts of tetrads, spin-connection and holonomies are introduced. Having thus provided a minimal introduction to the LQG framework, some applications to the problems of black hole entropy and of quantum cosmology are briefly surveyed. Last but not least, a list of the most common criticisms of LQG is presented, which are then tackled one by one in order to convince the reader of the physical viability of the theory. A set of appendices provides accessible introductions to several key notions such as the Peter-Weyl theorem, duality of differential forms and Regge calculus, among others. The presentation is aimed at graduate students and researchers who have some familiarity with the tools of QM and GR, but are intimidated by the technicalities required to browse through the existing LQG literature. This primer aims at making the formalism appear a little less bewildering to the uninitiated and helps lower the barrier for entry into the field.
50 Years Of Yang Mills Theory
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Author : G. 't Hooft
language : en
Publisher: World Scientific
Release Date : 2005
50 Years Of Yang Mills Theory written by G. 't Hooft and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Science categories.
The Roman Catholic faith has inspired some of the world's greatest creative works and has been a powerful force in history from the Roman Empire to the present. Catholic writers reflect their heritage in their works, and generations of readers have continued to appreciate the Catholic literary tradition. Many works by Catholic writers hold a high place in the literary canon and have exerted a tremendous cultural and political influence. Still others continue to be widely read by contemporary readers and quietly shape modern society. Some works, too, reflect the conflicts of the Catholic Church in the 21st century and capture the struggles of individual Catholics in a secular society. This encyclopedia covers the vast riches of the Catholic literary tradition from its origins to the present day. Included are substantial entries on more than 70 major works from around the world. A special effort has been made to cover women writers and writers of diverse racial and ethnic backgrounds, whose works reflect the many dimensions of the Catholic experience. The encyclopedia provides entries on such writers and works as St. Augustine's Confessions, Catherine of Siena's Dialogue, Dante's The Divine Comedy, Sandra Cisneros' The House on Mango Street, J.R.R. Tolkien's The Lord of the Rings, and Muriel Spark's Memento Mori. Each entry is written by an expert contributor and includes a biography of the writer, a plot summary of a major work, an extended critical discussion, an overview of the work's critical reception, and a selected bibliography. The entries give detailed attention to particular works and explore their relation to Catholic thought. The encyclopedia concludes with a selected, general bibliography.