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This textbook on classical and quantum theory of fields addresses graduate students starting to specialize in theoretical physics. It provides didactic introductions to the main topics in the theory of fields, while taking into account the contemporary view of the subject. The student will find concise explanations of basic notions essential for applications of the theory of fields as well as for frontier research in theoretical physics. One third of the book is devoted to classical fields. Each chapter contains exercises of varying degree of difficulty with hints or solutions, plus summaries and worked examples as useful. The textbook is based on lectures delivered to students of theoretical physics at Jagiellonian University. It aims to deliver a unique combination of classical and quantum field theory in one compact course.

Electronic books. -- local. --- Field theory (Physics). --- Physics. --- Quantum theory. --- Quantum field theory --- Field theory (Physics) --- Physics --- Physical Sciences & Mathematics --- Nuclear Physics --- Atomic Physics --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Natural philosophy --- Philosophy, Natural --- Classical field theory --- Continuum physics --- Algebra. --- Quantum physics. --- Elementary particles (Physics). --- Quantum field theory. --- Elementary Particles, Quantum Field Theory. --- Quantum Physics. --- Field Theory and Polynomials. --- Physical sciences --- Dynamics --- Mechanics --- Thermodynamics --- Continuum mechanics --- Elementary particles (Physics) --- High energy physics --- Nuclear particles --- Nucleons --- Nuclear physics --- Mathematics --- Mathematical analysis --- Relativistic quantum field theory --- Quantum theory --- Relativity (Physics)

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This textbook addresses graduate students starting to specialize in theoretical physics. It provides didactic introductions to the main topics in the theory of fields, while taking into account the contemporary view of the subject. The student will find concise explanations of basic notions essential for applications of the theory of fields as well as for frontier research in theoretical physics. One third of the book is devoted to classical fields. Each chapter contains exercises of varying degree of difficulty with hints or solutions, plus summaries and worked examples as useful. It aims to deliver a unique combination of classical and quantum field theory in one compact course.

Quantum mechanics. Quantumfield theory --- Elementary particles --- elementaire deeltjes --- quantumtheorie --- kwantumleer --- fysica

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The conceptofspontaneous symmetry breaking plays a fundamental role in contemporary physics. It is essential for the description of degenerate ground states, massless modes, and topological defects. Examples are abundant in condensed matter physics, atomic and particle physics, as well as in astro­ physics and cosmology. In fact, spontaneous symmetry breaking can be re­ garded as a cornerstone ofa whole branch ofphysics which intersects the above mentioned traditionally distinct fields. In the year 2000 the European Science Foundation (ESF) started the Pro­ gramme "Cosmology in the Laboratory" (COSLAB), with the goal to search for and to develop analogies betweencondensed matterphysics, particle physics, and cosmology. Not surprisingly, spontaneous symmetry breaking is among the most useful notions in that endeavour. It has been decided that in the sec­ ond year of the Programme a School should be held in order to work out and deliver to a wide audience of students synthetic overviews of achievements and of current research topics of COSLAB. This idea has been supported by the Scientific and Environmental Affairs Division of NATO by including the School in the renowned series of its Advanced Study Institutes. The School, entitled" Patterns of Symmetry Breaking", was held in Cracow during 16-28 September 2002. It gathered 17 lecturers and about 60 students. The present volume contains notes ofmost of the lectures from that School. We hope that of the physics of spon­ it will convey to the reader the breadth and the beauty taneous symmetry breaking.

Broken symmetry (Physics) --- Phase transformations (Statistical physics) --- Symétrie brisée (Physique) --- Transformations de phase (Physique statistique) --- Symétrie brisée (Physique) --- Condensed matter. --- Mathematical physics. --- Statistical physics. --- Dynamical systems. --- Gravitation. --- Applied mathematics. --- Engineering mathematics. --- Condensed Matter Physics. --- Theoretical, Mathematical and Computational Physics. --- Complex Systems. --- Classical and Quantum Gravitation, Relativity Theory. --- Applications of Mathematics. --- Statistical Physics and Dynamical Systems. --- Engineering --- Engineering analysis --- Mathematical analysis --- Field theory (Physics) --- Matter --- Physics --- Antigravity --- Centrifugal force --- Relativity (Physics) --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Mathematical statistics --- Physical mathematics --- Condensed materials --- Condensed media --- Condensed phase --- Materials, Condensed --- Media, Condensed --- Phase, Condensed --- Liquids --- Solids --- Properties --- Statistical methods