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Rigorous construction and Hadamard property of the Unruh state in Schwarzschild spacetime
The discovery of the radiation properties of black holes prompted the search for a natural candidate quantum ground state for a massless scalar field theory on Schwarzschild spacetime, hereExpand
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The Extended algebra of observables for Dirac fields and the trace anomaly of their stress-energy tensor
We discuss from scratch the classical structure of Dirac spinors on an arbitrary globally hyperbolic, Lorentzian spacetime, their formulation as a locally covariant quantum field theory, and theExpand
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Distinguished quantum states in a class of cosmological spacetimes and their Hadamard property
In a recent paper, we proved that a large class of spacetimes, not necessarily homogeneous or isotropous and relevant at a cosmological level, possesses a preferred codimension 1 submanifold, i.e.,Expand
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Stable cosmological models driven by a free quantum scalar field
In the mathematically rigorous analysis of semiclassical Einstein equations, the renormalization of the stress-energy tensor plays a crucial role. We address such a topic in the case of a scalarExpand
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Advances in Algebraic Quantum Field Theory
Structural aspects of quantum field theory.- Introduction to Algebraic Quantum Field Theory.- Algebraic Quantum Field Theory on curved backgrounds.- QED and infrared sectors.- Applicative aspects ofExpand
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Quantum Field Theory on Curved Backgrounds -- A Primer
Goal of this paper is to introduce the algebraic approach to quantum field theory on curved backgrounds. Based on a set of axioms, first written down by Haag and Kastler, this method consists of aExpand
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Quantized Abelian Principal Connections on Lorentzian Manifolds
We construct a covariant functor from a category of Abelian principal bundles over globally hyperbolic spacetimes to a category of *-algebras that describes quantized principal connections. We workExpand
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Quantization of Maxwell’s Equations on Curved Backgrounds and General Local Covariance
We develop a quantization scheme for Maxwell’s equations without source on an arbitrary oriented four-dimensional globally hyperbolic spacetime. The field strength tensor is the key dynamical objectExpand
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Ground states of a Klein-Gordon field with Robin boundary conditions in global anti–de Sitter spacetime
We consider a real, massive scalar field both on the $n$-dimensional anti--de Sitter (AdS$_n$) spacetime and on its universal cover CAdS$_n$. In the second scenario, we extend the recent analysis onExpand
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Hadamard states for a scalar field in anti-de Sitter spacetime with arbitrary boundary conditions
We consider a real, massive scalar field on ${\rm PAdS}_{d+1}$, the Poincar\'e domain of the $(d+1)$-dimensional anti-de Sitter (AdS) spacetime. We first determine all admissible boundary conditionsExpand
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