The history of critical phenomena goes back to the year 1869 when Andrews discovered the critical point of carbon dioxide, located at about 31°C and 73 atmospheres pressure. In the neighborhood ofthis point the carbon dioxide was observed to become opalescent, that is, light is strongly scattered. This is nowadays interpreted as comingfrom the strong fluctuations of the system close to the critical point. Subsequently, a wide varietyofphysicalsystems were realized to display critical points as well. Ofparticular importance was the observation of a critical point in ferromagnetic iron by Curie. Further examples include multicomponent fluids and alloys, superfluids, superconductors, polymers and may even extend to the quark-gluon plasmaand the early universe as a whole. Early theoretical investigationstried to reduce the problem to a very small number of degrees of freedom, such as the van der Waals equation and mean field approximations and culminating in Landau's general theory of critical phenomena. In a dramatic development, Onsager's exact solutionofthe two-dimensional Ising model made clear the important role of the critical fluctuations. Their role was taken into account in the subsequent developments leading to the scaling theories of critical phenomena and the renormalization group. These developements have achieved a precise description of the close neighborhood of the critical point and results are often in good agreement with experiments. In contrast to the general understanding a century ago, the presence of fluctuations on all length scales at a critical point is today emphasized.
Filling an important gap in the literature, this comprehensive text develops conformal field theory from first principles. The treatment is self-contained, pedagogical, and exhaustive, and includes a great deal of background material on quantum field theory, statistical mechanics, Lie algebras and affine Lie algebras. The many exercises, with a wide spectrum of difficulty and subjects, complement and in many cases extend the text. The text is thus not only an excellent tool for classroom teaching but also for individual study. Intended primarily for graduate students and researchers in theoretical high-energy physics, mathematical physics, condensed matter theory, statistical physics, the book will also be of interest in other areas of theoretical physics and mathematics. It will prepare the reader for original research in this very active field of theoretical and mathematical physics.
Central to current understandings of medieval history is the concept of political ritual, encompassing events from coronations to funerals, entries into cities, civic games, banquets, hunting, acts of submission or commendation, and more. ''Ritual?'' asks Philippe Buc. In The Dangers of Ritual he boldly argues that the concept shouldn't be so central after all. Modern-day scholars, gently seduced by twentieth-century theories of ritual, often misinterpret medieval documents that ostensibly describe such events, in part because they fail to appreciate the intentions behind them. The book begins with four case studies whose arrangement--backward from texts on tenth-century kingship to fourth-century representations of Christian martyrdom--allows for the line of development to be peeled back layer by layer. It then turns to an analysis of the formation of the intellectual traditions that contemporary historians have employed to interpret medieval documents. Tracing the emergence of the concept of ritual from the Reformation to the mid-twentieth century, Buc highlights the continuities yet also the profound transformations between the early medieval understandings and our own, social-scientific models. Medieval historians will find this book an indispensable resource for its insights into methodological issues crucial to their discipline. As Buc demonstrates, only rigorous attention to the contexts within which authors worked can allow us to reconstruct from medieval documents how ''rituals'' might have functioned. Ultimately, he argues, too swift an application of contemporary models to highly complex textual artifacts blinds us to the specificities of early medieval European political culture.
This new edition of the book series dedicated to “Progress in Epileptic Disorders” is the result of a recently held unique gathering of international experts that debated on the prognostic and therapeutic issues raised by the management of first unprovoked seizures and of newly diagnosed epilepsy. Current knowledge on natural evolution of a first seizure, the role of co-morbid conditions, the impact of immediate versus delayed treatment and recent guidelines are thoroughly addressed. The new ideas and suggestions that emerge from this book offer challenging perspectives for both patient care and clinical as well as fundamental research. The first section of the book includes an up to date review of epidemiological data, encompassing the natural evolution of single unprovoked seizures, risk factors for recurrent seizures, and the potential for comorbid conditions such as depression, migraine, ADHD, and dysimmune metabolic disorders to promote the development of epilepsy. The impact of febrile convulsions on long-term brain hyperexcitability is also discussed. The second section concentrates on therapeutic issues, concerning the management of single unprovoked seizures and newly diagnosed epilepsy. These include the impact of immediate versus deferred treatment and the choice of the most appropriate antiepileptic drug therapy. Several methodological issues are addressed in parallel with the chapters, providing new insights into domains, such as the representativeness of the patient population in the studies under consideration, as well as the limitations and pitfalls of most randomised controlled trials. The value of these trials in the development of treatment guidelines is also discussed.
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