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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
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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
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FERMIONIC FIELDS IN THE FUNCTIONAL APPROACH TO CLASSICAL FIELD THEORY
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
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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
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Perturbative Construction of Models of Algebraic Quantum Field Theory
The construction of models of algebraic quantum field theory by renormalized perturbation theory is reviewed.
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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
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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
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Batalin-Vilkovisky Formalism in the Functional Approach to Classical Field Theory
We develop the Batalin-Vilkovisky formalism for classical field theory on generic globally hyperbolic spacetimes. A crucial aspect of our treatment is the incorporation of the principle of localExpand
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Batalin-Vilkovisky Formalism in Perturbative Algebraic Quantum Field Theory
On the basis of a thorough discussion of the Batalin-Vilkovisky formalism for classical field theory presented in our previous publication, we construct in this paper the Batalin-Vilkovisky complexExpand
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Local Covariance and Background Independence
One of the many conceptual difficulties in the development of quantum gravity is the role of a background geometry for the structure of quantum field theory. To some extent the problem can be solvedExpand
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