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Quantum Gravity from the Point of View of Locally Covariant Quantum Field Theory
We construct perturbative quantum gravity in a generally covariant way. In particular our construction is background independent. It is based on the locally covariant approach to quantum field theoryExpand
The Quantum Sine-Gordon Model in Perturbative AQFT
We study the Sine-Gordon model with Minkowski signature in the framework of perturbative algebraic quantum field theory. We calculate the vertex operator algebra braiding property. We prove that inExpand
Perturbative Algebraic Quantum Field Theory: An Introduction for Mathematicians
Perturbative Algebraic Quantum Field Theory (pAQFT), the subject of this book, is a complete and mathematically rigorous treatment of perturbative quantum field theory (pQFT) that doesn t require theExpand
Algebraic Quantum Field Theory -- an introduction
We give a pedagogical introduction to algebraic quantum field theory (AQFT), with the aim of explaining its key structures and features. Topics covered include: algebraic formulations of quantumExpand
The Locality Axiom in Quantum Field Theory and Tensor Products of $C^*$-algebras
The prototype of mutually independent systems are systems which are localized in spacelike separated regions. In the framework of locally covariant quantum field theory we show that the commutativityExpand
In this paper, we present a formulation of the classical theory of fermionic (anticommuting) fields, which fits into the general framework proposed by Brunetti, Dutsch and Fredenhagen. It wasExpand
Cosmological perturbation theory and quantum gravity
A bstractIt is shown how cosmological perturbation theory arises from a fully quantized perturbative theory of quantum gravity. Central for the derivation is a non-perturbative concept ofExpand
Perturbative Construction of Models of Algebraic Quantum Field Theory
The construction of models of algebraic quantum field theory by renormalized perturbation theory is reviewed.
Remarks on Local Symmetry Invariance in Perturbative Algebraic Quantum Field Theory
We investigate various aspects of invariance under local symmetries in the framework of perturbative algebraic quantum field theory (pAQFT). Our main result is the proof that the quantumExpand
Batalin-Vilkovisky formalism in locally covariant field theory
The present work contains a complete formulation of the Batalin-Vilkovisky (BV) formalism in the framework of locally covariant field theory. In the first part of the thesis the classical theory isExpand