Quantum mathematical physics [electronic resource] : a bridge between mathematics and physics / Felix Finster, Johannes Kleiner, Christian Röken, Jürgen Tolksdorf, editor.
Finster, Felix, 1967- editor.; Kleiner, Johannes, editor.; Röken, Christian, editor.; Tolksdorf, Jürgen, editor.
2016
QC174.17.M35
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Title Quantum mathematical physics [electronic resource] : a bridge between mathematics and physics / Felix Finster, Johannes Kleiner, Christian Röken, Jürgen Tolksdorf, editor.
ISBN 9783319269023 (electronic book)
331926902X (electronic book)
9783319269009
DOI https://doi.org/10.1007/978-3-319-26902-3
Published Cham : Birkhäuser, 2016.
Language English
Description 1 online resource (xiv, 518 pages) : illustrations.
Item Number 10.1007/978-3-319-26902-3 doi
Call Number QC174.17.M35
Dewey Decimal Classification 530.1201/5113
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 "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.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed February 29, 2016).
Added Author Finster, Felix, 1967- editor.
Kleiner, Johannes, editor.
Röken, Christian, editor.
Tolksdorf, Jürgen, editor.
Available in Other Form Print version: 9783319269009
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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?
José M. Gracia-Bondía.Systematic Renormalization at all Orders in the DiffRen and Improved Epstein{Glaser Schemes
Michael Dütsch. 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
Frédéric 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 Börner.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-André Deckert, Franz Merkl. A Perspective on External Field QED
Enno Ke€ler.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 Kröncke. Variational Stability and Rigidity of Compact Einstein Manifolds
Index.

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