Selfdual Gauge Field Vortices - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Selfdual Gauge Field Vortices write by Gabriella Tarantello. This book was released on 2008-04-16. Selfdual Gauge Field Vortices available in PDF, EPUB and Kindle. 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.
Morse Index of Solutions of Nonlinear Elliptic Equations
Morse Index of Solutions of Nonlinear Elliptic Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Morse Index of Solutions of Nonlinear Elliptic Equations write by Lucio Damascelli. This book was released on 2019-07-08. Morse Index of Solutions of Nonlinear Elliptic Equations available in PDF, EPUB and Kindle. This monograph presents in a unified manner the use of the Morse index, and especially its connections to the maximum principle, in the study of nonlinear elliptic equations. The knowledge or a bound on the Morse index of a solution is a very important qualitative information which can be used in several ways for different problems, in order to derive uniqueness, existence or nonexistence, symmetry, and other properties of solutions.
Quantum Many-Body Physics in a Nutshell
Quantum Many-Body Physics in a Nutshell - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quantum Many-Body Physics in a Nutshell write by Edward Shuryak. This book was released on 2018-11-27. Quantum Many-Body Physics in a Nutshell available in PDF, EPUB and Kindle. The ideal textbook for a one-semester introductory course for graduate students or advanced undergraduates This book provides an essential introduction to the physics of quantum many-body systems, which are at the heart of atomic and nuclear physics, condensed matter, and particle physics. Unlike other textbooks on the subject, it covers topics across a broad range of physical fields—phenomena as well as theoretical tools—and does so in a simple and accessible way. Edward Shuryak begins with Feynman diagrams of the quantum and statistical mechanics of a particle; in these applications, the diagrams are easy to calculate and there are no divergencies. He discusses the renormalization group and illustrates its uses, and covers systems such as weakly and strongly coupled Bose and Fermi gases, electron gas, nuclear matter, and quark-gluon plasmas. Phenomena include Bose condensation and superfluidity. Shuryak also looks at Cooper pairing and superconductivity for electrons in metals, liquid 3He, nuclear matter, and quark-gluon plasma. A recurring topic throughout is topological matter, ranging from ensembles of quantized vortices in superfluids and superconductors to ensembles of colored (QCD) monopoles and instantons in the QCD vacuum. Proven in the classroom, Quantum Many-Body Physics in a Nutshell is the ideal textbook for a one-semester introductory course for graduate students or advanced undergraduates. Teaches students how quantum many-body systems work across many fields of physics Uses path integrals from the very beginning Features the easiest introduction to Feynman diagrams available Draws on the most recent findings, including trapped Fermi and Bose atomic gases Guides students from traditional systems, such as electron gas and nuclear matter, to more advanced ones, such as quark-gluon plasma and the QCD vacuum
Handbook of Differential Equations: Stationary Partial Differential Equations
Handbook of Differential Equations: Stationary Partial Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Handbook of Differential Equations: Stationary Partial Differential Equations write by Michel Chipot. This book was released on 2004-07-06. Handbook of Differential Equations: Stationary Partial Differential Equations available in PDF, EPUB and Kindle. The book could be a good companion for any graduate student in partial differential equations or in applied mathematics. Each chapter brings indeed new ideas and new techniques which can be used in these fields. The differents chapters can be read independently and are of great pedagogical value. The advanced researcher will find along the book the most recent achievements in various fields. - Independent chapters - Most recent advances in each fields - Hight didactic quality - Self contained - Excellence of the contributors - Wide range of topics
Self-Dual Chern-Simons Theories
Self-Dual Chern-Simons Theories - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Self-Dual Chern-Simons Theories write by Gerald Dunne. This book was released on 2009-02-13. Self-Dual Chern-Simons Theories available in PDF, EPUB and Kindle. 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.
