Quantum Field Theory on Curved Spacetimes: Concepts and Mathematical Foundations (Lecture Notes in Physics)

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9783642260513: Quantum Field Theory on Curved Spacetimes: Concepts and Mathematical Foundations (Lecture Notes in Physics)

This book, Quantum Field Theory on Curved Spacetimes, evolved from an outgrowth of a compact course given by the editors and contributing authors to an audience of advanced graduate students and young researchers in the field.

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After some decades of work a satisfactory theory of quantum gravity is still not available; moreover, there are indications that the original field theoretical approach may be better suited than originally expected. There, to first approximation, one is left with the problem of quantum field theory on Lorentzian manifolds. Surprisingly, this seemingly modest approach leads to far reaching conceptual and mathematical problems and to spectacular predictions, the most famous one being the Hawking radiation of black holes.

 Ingredients of this approach are the formulation of quantum physics in terms of C*-algebras, the geometry of Lorentzian manifolds, in particular their causal structure, and linear hyperbolic differential equations where the well-posedness of the Cauchy problem plays a distinguished role, as well as more recently the insights from suitable concepts such as  microlocal analysis.

 This primer is an outgrowth of a compact course given by the editors and contributing authors to an audience of advanced graduate students and young researchers in the field, and assumes  working knowledge of differential geometry and functional analysis on the part of the reader.

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“This is a very nice book which captures in only 160 pages the most important aspects of the mathematical and conceptional foundations of quantum field theory on curved spacetimes. ... the interested reader can find here an introduction to the key concepts and pointers towards further literature. I can recommend this book to readers who are new to the subject as an ideal starting point, and also to more experienced researchers who are looking for a short and concise overview.” (Michael Keyl, Mathematical Reviews, Issue 2011 f)

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Descripción Springer-Verlag Berlin and Heidelberg GmbH Co. KG, Germany, 2012. Paperback. Estado de conservación: New. 2009 ed.. Language: English . Brand New Book ***** Print on Demand *****.After some decades of work a satisfactory theory of quantum gravity is still not available; moreover, there are indications that the original field theoretical approach may be better suited than originally expected. There, to first approximation, one is left with the problem of quantum field theory on Lorentzian manifolds. Surprisingly, this seemingly modest approach leads to far reaching conceptual and mathematical problems and to spectacular predictions, the most famous one being the Hawking radiation of black holes. Ingredients of this approach are the formulation of quantum physics in terms of C*-algebras, the geometry of Lorentzian manifolds, in particular their causal structure, and linear hyperbolic differential equations where the well-posedness of the Cauchy problem plays a distinguished role, as well as more recently the insights from suitable concepts such as microlocal analysis. This primer is an outgrowth of a compact course given by the editors and contributing authors to an audience of advanced graduate students and young researchers in the field, and assumes working knowledge of differential geometry and functional analysis on the part of the reader. Nº de ref. de la librería AAV9783642260513

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Descripción Springer. Paperback. Estado de conservación: New. Paperback. 160 pages. Dimensions: 9.0in. x 6.1in. x 0.5in.After some decades of work a satisfactory theory of quantum gravity is still not available; moreover, there are indications that the original field theoretical approach may be better suited than originally expected. There, to first approximation, one is left with the problem of quantum field theory on Lorentzian manifolds. Surprisingly, this seemingly modest approach leads to far reaching conceptual and mathematical problems and to spectacular predictions, the most famous one being the Hawking radiation of black holes. Ingredients of this approach are the formulation of quantum physics in terms of C-algebras, the geometry of Lorentzian manifolds, in particular their causal structure, and linear hyperbolic differential equations where the well-posedness of the Cauchy problem plays a distinguished role, as well as more recently the insights from suitable concepts such as microlocal analysis. This primer is an outgrowth of a compact course given by the editors and contributing authors to an audience of advanced graduate students and young researchers in the field, and assumes working knowledge of differential geometry and functional analysis on the part of the reader. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Nº de ref. de la librería 9783642260513

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