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Classical field theory, which concerns the generation and interaction of fields, is a logical precursor to quantum field theory, and can be used to describe phenomena such as gravity and electromagnetism. Written for advanced undergraduates, and appropriate for graduate level classes, this book provides a comprehensive introduction to field theories, with a focus on their relativistic structural elements. Such structural notions enable a deeper understanding of Maxwell's equations, which lie at the heart of electromagnetism, and can also be applied to modern variants such as Chern-Simons and Born-Infeld. The structure of field theories and their physical predictions are illustrated with compelling examples, making this book perfect as a text in a dedicated field theory course, for self-study, or as a reference for those interested in classical field theory, advanced electromagnetism, or general relativity. Demonstrating a modern approach to model building, this text is also ideal for students of theoretical physics.

Field theory (Physics) --- Electromagnetism. --- Special relativity (Physics) --- Lagrange equations. --- Gravity.

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This is a brilliant first course in classical and quantum mechanics, offering readers not an oversimplified introduction, but the real thing - everything you need to start doing physics, and nothing more. Now, thankfully, Susskind and his former student Art Friedman are back, this time to introduce readers to special relativity and classical field theory. At last, waves, forces and particles will be demystified. Using their typical brand of relatively simple maths, enlightening sketches and the same fictional counterparts, Art and Lenny, 'Special Relativity and Classical Field Theory' takes us on an enlightening journey through a world now governed by the laws of special relativity. Starting in their new watering hole, Hermann's Hideaway, with a lesson on relativity, Art and Lenny walk us through the complexities of Einstein's famous theory.

Field theory (Physics). --- Relativity (Physics). --- Relativité (Physique). --- Théorie des champs (Physique).

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Classical field theory, which concerns the generation and interaction of fields, is a logical precursor to quantum field theory, and can be used to describe phenomena such as gravity and electromagnetism. Written for advanced undergraduates, and appropriate for graduate level classes, this book provides a comprehensive introduction to field theories, with a focus on their relativistic structural elements. Such structural notions enable a deeper understanding of Maxwell's equations, which lie at the heart of electromagnetism, and can also be applied to modern variants such as Chern-Simons and Born-Infeld. The structure of field theories and their physical predictions are illustrated with compelling examples, making this book perfect as a text in a dedicated field theory course, for self-study, or as a reference for those interested in classical field theory, advanced electromagnetism, or general relativity. Demonstrating a modern approach to model building, this text is also ideal for students of theoretical physics.

Field theory (Physics) --- Electromagnetism --- Special relativity (Physics) --- Lagrange equations --- Gravity --- Champs, Théorie des (physique) --- Relativité restreinte (physique) --- Électromagnétisme. --- Lagrange, Équations de. --- Gravité.

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This book provides a rather self-contained survey of the construction of Hadamard states for scalar field theories in a large class of notable spacetimes, possessing a (conformal) light-like boundary. The first two sections focus on explaining a few introductory aspects of this topic and on providing the relevant geometric background material. The notions of asymptotically flat spacetimes and of expanding universes with a cosmological horizon are analysed in detail, devoting special attention to the characterization of asymptotic symmetries. In the central part of the book, the quantization of a real scalar field theory on such class of backgrounds is discussed within the framework of algebraic quantum field theory. Subsequently it is explained how it is possible to encode the information of the observables of the theory in a second, ancillary counterpart, which is built directly on the conformal (null) boundary. This procedure, dubbed bulk-to-boundary correspondence, has the net advantage of allowing the identification of a distinguished state for the theory on the boundary, which admits a counterpart in the bulk spacetime which is automatically of Hadamard form. In the last part of the book, some applications of these states are discussed, in particular the construction of the algebra of Wick polynomials. This book is aimed mainly, but not exclusively, at a readership with interest in the mathematical formulation of quantum field theory on curved backgrounds.

Physics. --- Algebra. --- Field theory (Physics). --- Mathematical physics. --- Quantum field theory. --- String theory. --- Cosmology. --- Quantum Field Theories, String Theory. --- Mathematical Physics. --- Field Theory and Polynomials. --- Hypersurfaces. --- Relativistic quantum field theory --- Field theory (Physics) --- Quantum theory --- Relativity (Physics) --- Hyperspace --- Surfaces --- Classical field theory --- Continuum physics --- Physics --- Continuum mechanics --- Mathematics --- Mathematical analysis --- Astronomy --- Deism --- Metaphysics --- Physical mathematics --- Models, String --- String theory --- Nuclear reactions

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This textbook introduces the current astrophysical observations of black holes, and discusses the leading techniques to study the strong gravity region around these objects with electromagnetic radiation. More importantly, it provides the basic tools for writing an astrophysical code and testing the Kerr paradigm. Astrophysical black holes are an ideal laboratory for testing strong gravity. According to general relativity, the spacetime geometry around these objects should be well described by the Kerr solution. The electromagnetic radiation emitted by the gas in the inner part of the accretion disk can probe the metric of the strong gravity region and test the Kerr black hole hypothesis. With exercises and examples in each chapter, as well as calculations and analytical details in the appendix, the book is especially useful to the beginners or graduate students who are familiar with general relativity while they do not have any background in astronomy or astrophysics.

Physics. --- Gravitation. --- Astrophysics. --- Astrophysics and Astroparticles. --- Classical and Quantum Gravitation, Relativity Theory. --- Black holes (Astronomy) --- Field theory (Physics) --- Matter --- Physics --- Antigravity --- Centrifugal force --- Relativity (Physics) --- Astronomical physics --- Astronomy --- Cosmic physics --- Properties