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Title Quantum mathematical physics : a bridge between mathematics and physics / Felix Finster, Johannes Kleiner, Christian Roken, Jurgen Tolksdorf, editor.
Imprint Cham : Birkhauser, 2016.

View online
View online
Subject Quantum logic -- Congresses.
Mathematical physics -- Congresses.
Alt Name Finster, Felix, 1967-
Kleiner, Johannes,
Roken, Christian,
Tolksdorf, Jürgen,
Add Title Bridge between mathematics and physics
Description 1 online resource (xiv, 518 pages) : illustrations (some color)
polychrome rdacc
Note "The present volume is based on the international conference Quantum Mathematical Physics -- A Bridge between mathematics and physics that was held at the University of Regensburg (Germany) from September 29 to October 2, 2014."
Includes index.
Contents Preface -- Christopher J. Fewster. On the Spin-Statistics Connection in Curved Spacetimes -- Daniel Becker, Martin Reuter. Is there a C-Function in 4D Quantum Einstein Gravity? -- Jose M. Gracia-Bondia. Systematic Renormalization at all Orders in the DiffRen and Improved Epstein{Glaser Schemes -- Michael Dutsch. Higgs Mechanism and Renormalization Group Flow:Are They Compatible? -- Claudio Dappiaggi. Hadamard States From Null Infinity -- Michael Gransee. Local Thermal Equilibrium States in Relativistic Quantum Field Theory -- Frederic Paugam. Categorical Methods in Quantum Field Theory -- Harald Grosse, Raimar Wulkenhaar. A Solvable Four-Dimensional QFT -- Rainer Verch. Wave Equations with Non-Commutative Space and Time -- Gandalf Lechner, Jan Schlemmer. Thermal Equilibrium States for Quantum Fields on Non-Commutative Spacetimes -- Christian Fleischhack. Kinematical Foundations of Loop Quantum Cosmology -- Gerhard Borner. Cosmic Puzzles -- Dark Matter and Dark Energy -- Israel Michael Sigal. Radiation and Scattering in Non-Relativistic Quantum Electrodynamics -- Stefan Teufel, Roderich Tumulka. Avoiding Ultraviolet Divergence by Means of Interior{Boundary Conditions -- Felix Finster. Causal Fermion Systems -- An Overview -- Dirk-Andre Deckert, Franz Merkl. A Perspective on External Field QED -- Enno Keler. Super Riemann Surfaces and the Super Conformal Action Functional -- Stefan Waldmann. Recent Developments in Deformation Quantization -- Michael K.-H. Kiessling. Dirac's Point Electron in the Zero-Gravity Kerr -- Newman World -- Christoph A. Stephan. Noncommutative Geometry and the Physics of the LHC Era -- Klaus Kroncke. Variational Stability and Rigidity of Compact Einstein Manifolds -- Index.
Summary Quantum physics has been highly successful for more than 90 years. Nevertheless, a rigorous construction of interacting quantum field theory is still missing. Moreover, it is still unclear how to combine quantum physics and general relativity in a unified physical theory. Attacking these challenging problems of contemporary physics requires highly advanced mathematical methods as well as radically new physical concepts. This book presents different physical ideas and mathematical approaches in this direction. It contains a carefully selected cross-section of lectures which took place in autumn 2014 at the sixth conference Quantum Mathematical Physics - A Bridge between Mathematics and Physics'' in Regensburg, Germany. In the tradition of the other proceedings covering this series of conferences, a special feature of this book is the exposition of a wide variety of approaches, with the intention to facilitate a comparison. The book is mainly addressed to mathematicians and physicists who are interested in fundamental questions of mathematical physics. It allows the reader to obtain a broad and up-to-date overview of a fascinating active research area.
Note Online resource; title from PDF title page (SpringerLink, viewed February 29, 2016).
ISBN 9783319269023 (electronic bk.)
331926902X (electronic bk.)
3319269003 (print)
9783319269009 (print)
9783319269009 (print)
ISBN/ISSN 10.1007/978-3-319-26902-3
OCLC # 941134365
Additional Format Printed edition: 9783319269009

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