Titlebook: Quantum Mathematical Physics; A Bridge between Mat Felix Finster,Johannes Kleiner,Jürgen Tolksdorf Book 2016 Springer International Publish

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Hadamard States From Null Infinity,nction. The goal of this paper is to outline a construction scheme for these states which can be applied whenever the underlying background possesses a null (conformal) boundary. We discuss in particular the examples of a real, massless conformally coupled scalar field and of linearized gravity on a

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A Perspective on External Field QED,ds to the need of the so-called .. In an attempt to provide a bridge between physics and mathematics, this work gives a review ranging from the heuristic picture to our rigorous results in a way that is hopefully also accessible to non-experts and students. We discuss how the evolution operator can

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,Dirac’s Point Electron in the Zero-Gravity Kerr–Newman World,in a generalization of the zero-. Kerr–Newman spacetime with different ratio of electric-monopole to magnetic-dipole moment. The results are discussed in the context of the general-relativistic hydrogen problem. Also, some interesting projects for further inquiry are listed in the lastsection.

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Book 2016intention 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..

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On the Spin-Statistics Connection in Curved Spacetimes, locally covariant theories are defined as functors from a category of framed spacetimes to a category of ?-algebras. This allows for a more operational description of theories with spin, and for the derivation of a more general version of the spin-statistics connection in curved spacetimes than pre

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Is There a ,-Function in 4D Quantum Einstein Gravity?,ory. It exploits the mode counting properties of the effective average action and is particularly suited for theories including quantized gravity. The viability of the approach is demonstrated explicitly in a truncation of 4 dimensional Quantum Einstein Gravity, i.e. asymptotically safe metric gravi