Approximate KMS States for Scalar and Spinor Fields in...
AbstractWe construct and discuss Hadamard states for both scalar and Dirac spinor fields in a large class of spatially flat Friedmann–Robertson–Walker spacetimes characterised by an initial phase...
View ArticleLinear bosonic and fermionic quantum gauge theories on curved spacetimes
AbstractWe develop a general setting for the quantization of linear bosonic and fermionic field theories subject to local gauge invariance and show how standard examples such as linearised Yang-Mills...
View ArticleElectromagnetism, Local Covariance, the Aharonov–Bohm Effect and Gauss’ Law
AbstractWe quantise the massless vector potential A of electromagnetism in the presence of a classical electromagnetic (background) current, j, in a generally covariant way on arbitrary globally...
View ArticleA C *-Algebra for Quantized Principal U (1)-Connections on Globally...
AbstractThe aim of this work is to complete our program on the quantization of connections on arbitrary principal U(1)-bundles over globally hyperbolic Lorentzian manifolds. In particular, we show that...
View ArticleCosmological Applications of Algebraic Quantum Field Theory
AbstractQuantum field theory on curved spacetime is a generalisation of quantum field theory in flat spacetime which is expected to be the proper fundamental description of non–trivial physical...
View ArticleQuantum Field Theory on Curved Spacetime and the Standard Cosmological Model
AbstractThe aim of this review is to outline a full route from the fundamental principles of algebraic quantum field theory on curved spacetime in its present-day form to explicit phenomenological...
View ArticleAlgebraic Quantum Field Theory on Curved Spacetimes
AbstractIn this chapter, we review all background material on algebraic quantum field theory on curved spacetimes which is necessary for understanding the cosmological applications discussed in the...
View ArticleCosmological Applications
AbstractIn this chapter we discuss two cosmological applications of algebraic quantum field theory in curved spacetimes. In the Standard Model of Cosmology—the \(\varLambda \)CDM-model—the...
View ArticleIntroduction
AbstractIn this chapter we give a pedagogical introduction to algebraic quantum field theory and explain the concepts and the relevance of this framework in quantum field theory on curved spacetimes....
View ArticleSupergeometry in Locally Covariant Quantum Field Theory
AbstractIn this paper we analyze supergeometric locally covariant quantum field theories. We develop suitable categories SLoc of super-Cartan supermanifolds, which generalize Lorentz manifolds in...
View ArticleCosmological perturbation theory and quantum gravity
AbstractIt 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 of...
View ArticleThe Generalised Principle of Perturbative Agreement and the Thermal Mass
AbstractThe principle of perturbative agreement, as introduced by Hollands and Wald, is a renormalization condition in quantum field theory on curved spacetimes. This principle states that the...
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