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Broken symmetry (Physics) --- Electroweak interactions. --- Symétrie brisée (Physique) --- Interactions électrofaibles

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Phase transformations (Statistical physics) --- Broken symmetry (Physics) --- Transformations de phase (Physique statistique) --- Symétrie brisée (Physique) --- Symétrie brisée (Physique) --- Physique mathématique --- Théorie quantique

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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

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Statistical physics --- Mathematical physics --- Fluid mechanics --- Analyse de corrélation --- Broken symmetry (Physics) --- Correlatie (Statistiek) --- Corrélation (Statistiques) --- Dynamique des fluides --- Gebroken symmetrie (Fysica) --- Ondes de spin --- Spin waves --- Spingolven --- Symetrie brisee (Physique) --- Vloeistofdynamica --- Symétrie brisée (Physique) --- Waves, Spin --- Low temperatures --- Symmetry breaking (Physics) --- Symétrie brisée (Physique) --- Correlation (Statistics) --- Fluid dynamics --- 519.233.5 --- 531.19 --- 532.5 --- 536.75 --- 538.93 --- 532.5 Liquid motion. Hydrodynamics --- Liquid motion. Hydrodynamics --- 531.19 Statistical mechanics --- Statistical mechanics --- 538.93 Transport processes (except in quantum liquids and solids) --- Transport processes (except in quantum liquids and solids) --- 519.233.5 Correlation analysis. Regression analysis --- Correlation analysis. Regression analysis --- Ferromagnetism --- Nuclear spin --- Dynamics --- Least squares --- Mathematical statistics --- Probabilities --- Regression analysis --- Statistics --- Instrumental variables (Statistics) --- Symmetry (Physics) --- 536.75 Entropy. Statistical thermodynamics. Irreversible processes --- Entropy. Statistical thermodynamics. Irreversible processes --- Graphic methods --- Corrélation (Statistique) --- Fluides, Dynamique des