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If you are looking for a comprehensive introduction to the modern methods of classical and quantum field theory with applications in condensed matter physics, you may want to check out the book Condensed Matter Field Theory by Alexander Altland and Ben Simons. This book is aimed at graduate students who want to engage in independent research in theoretical condensed matter physics. It covers topics such as second quantization, path and functional field integration, mean-field theory and collective phenomena, renormalization group, fermion and boson systems, quantum phase transitions, topological defects and gauge fields, and more.
The book is available for free download from various online sources, such as Semantic Scholar[^1^], Internet Archive[^2^], and Cambridge University Press[^3^]. You can also find other related books and articles on the same topic by searching for keywords like \"many body physics\", \"condensed matter field theory\", or \"quantum field theory\".
Whether you are interested in learning the basics of field theory or exploring the latest developments in condensed matter physics, this book can be a valuable resource for you. Download it today and start your journey into the fascinating world of quantum fields.
The book is divided into three parts. The first part introduces the basic concepts and tools of field theory, such as second quantization, path integrals, Green's functions, and perturbation theory. The second part applies these methods to various topics in condensed matter physics, such as superconductivity, superfluidity, quantum Hall effect, quantum phase transitions, and topological defects. The third part explores some advanced topics and extensions of field theory, such as non-equilibrium phenomena, gauge fields, anomalies, and topological insulators.
The book is written in a clear and pedagogical style, with many examples and exercises to help the reader master the material. The book also contains appendices that review some mathematical background and provide useful references. The book is suitable for both self-study and as a textbook for advanced courses in condensed matter physics.
One of the strengths of the book is that it provides a unified framework for describing various phenomena in condensed matter physics using field theory. The book shows how different physical systems can be mapped onto effective field theories that capture their essential features and allow for systematic calculations. The book also discusses how symmetries and topology play a crucial role in determining the properties and phases of matter.
Another strength of the book is that it bridges the gap between formal developments and physical applications. The book does not shy away from presenting the technical details and derivations of the field theoretical methods, but it also explains their physical meaning and implications. The book illustrates how field theory can be used to address concrete problems of interest in both experimental and theoretical condensed matter physics, such as quantum transport, quantum criticality, superconductivity, quantum Hall effect, topological insulators, and more.
The book is not only a valuable reference for researchers and students in condensed matter physics, but also a source of inspiration for new directions and ideas. The book covers some of the most active and exciting areas of research in modern condensed matter physics, such as non-equilibrium phenomena, gauge fields, anomalies, and topological phases of matter. The book also points out some of the open questions and challenges that remain to be explored in the field. a474f39169