Quantum Mathematical Physics : A Bridge between Mathematics and Physics / edited by Felix Finster, Johannes Kleiner, Christian Röken, Jürgen Tolksdorf.

Format:

Book

Contributor:

Finster, Felix., Editor.

Kleiner, Johannes., Editor.

Röken, Christian., Editor.

Tolksdorf, Jürgen, Editor.

Language:

English

Subjects (All):

Mathematical physics.

Mathematical Physics.

Theoretical, Mathematical and Computational Physics.

Local Subjects:

Mathematical Physics.

Theoretical, Mathematical and Computational Physics.

Physical Description:

1 online resource (517 p.)

Edition:

1st ed. 2016.

Place of Publication:

Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.

Language Note:

English

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.

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?

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 Keßler.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.

Notes:

"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 bibliographical references at the end of each chapters and index.

ISBN:

3-319-26902-X