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Publications Influence

Rigorous construction and Hadamard property of the Unruh state in Schwarzschild spacetime

- C. Dappiaggi, Valter Moretti, N. Pinamonti
- Physics, Mathematics
- 6 July 2009

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, here… Expand

64 4- PDF

The Extended algebra of observables for Dirac fields and the trace anomaly of their stress-energy tensor

- C. Dappiaggi, Thomas-Paul Hack, N. Pinamonti
- Physics, Mathematics
- 3 April 2009

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 the… Expand

64 4- PDF

Distinguished quantum states in a class of cosmological spacetimes and their Hadamard property

- C. Dappiaggi, Valter Moretti, N. Pinamonti
- Mathematics, Physics
- 21 December 2008

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

65 3- PDF

Stable cosmological models driven by a free quantum scalar field

- C. Dappiaggi, K. Fredenhagen, N. Pinamonti
- Physics
- 18 January 2008

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 scalar… Expand

51 2- PDF

Advances in Algebraic Quantum Field Theory

- Romeo Brunetti, C. Dappiaggi, K. Fredenhagen, J. Yngvason
- Physics
- 2015

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 of… Expand

45 2

Quantum Field Theory on Curved Backgrounds -- A Primer

- M. Benini, C. Dappiaggi, Thomas-Paul Hack
- Physics, Mathematics
- 3 June 2013

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 a… Expand

55 1- PDF

Quantized Abelian Principal Connections on Lorentzian Manifolds

- M. Benini, C. Dappiaggi, A. Schenkel
- Mathematics, Physics
- 11 March 2013

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 work… Expand

38 1- PDF

Quantization of Maxwell’s Equations on Curved Backgrounds and General Local Covariance

- C. Dappiaggi, Benjamin Lang
- Physics, Mathematics
- 7 April 2011

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 object… Expand

45 1- PDF

Ground states of a Klein-Gordon field with Robin boundary conditions in global anti–de Sitter spacetime

- C. Dappiaggi, H. Ferreira, Alessio Marta
- Physics, Mathematics
- 8 May 2018

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 on… Expand

9 1- PDF

Hadamard states for a scalar field in anti-de Sitter spacetime with arbitrary boundary conditions

- C. Dappiaggi, H. Ferreira
- Physics, Mathematics
- 4 October 2016

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 conditions… Expand

23 1- PDF