31 citations · 149 across the 21 of their papers we have counts for
21 papers
The five gradients inequality on differentiable manifolds
S. Di Marino, S. Murro, E. Radici
The goal of this paper is to derive the so-called five gradients inequality for optimal transport theory for general cost functions on two class of differentiable manifolds: locall…
On the Cauchy problem for the Fadaray tensor on globally hyperbolic manifolds with timelike boundary
Nicoló Drago, Nicolas Ginoux, Simone Murro
We study the well-posedness of the Cauchy problem for the Faraday tensor on globally hyperbolic manifolds with timelike boundary. The existence of Green operators for the operator…
The quantization of Proca fields on globally hyperbolic spacetimes: Hadamard states and Møller operators
Valter Moretti, Simone Murro, Daniele Volpe
This paper deals with several issues concerning the algebraic quantization of the real Proca field in a globally hyperbolic spacetime and the definition and existence of Hadamard s…
Wick rotation of linearized gravity in Gaussian time and Calderón projectors
Christian Gérard, Simone Murro, Michał Wrochna
Motivated by the quantization of linearized gravity, we consider gauge-fixed linearized Einstein equations and their Wick rotation near a Cauchy surface. We show that Calderón proj…
Global and microlocal aspects of Dirac operators: propagators and Hadamard states
Matteo Capoferri, Simone Murro
We propose a geometric approach to construct the Cauchy evolution operator for the Lorentzian Dirac operator on Cauchy-compact globally hyperbolic 4-manifolds. We realise the Cauch…
Paracausal deformations of Lorentzian metrics and Møller isomorphisms in algebraic quantum field theory
Valter Moretti, Simone Murro, Daniele Volpe
Given a pair of normally hyperbolic operators over (possibily different) globally hyperbolic spacetimes on a given smooth manifold, the existence of a geometric isomorphism, called…
Møller operators and Hadamard states for Dirac fields with MIT boundary conditions
Nicolò Drago, Nicolas Ginoux, Simone Murro
The aim of this paper is to prove the existence of Hadamard states for Dirac fields coupled with MIT boundary conditions on any globally hyperbolic manifold with timelike boundary.…
The Cauchy problem of the Lorentzian Dirac operator with APS boundary conditions
Nicolò Drago, Nadine Große, Simone Murro
We consider the classical Dirac operator on globally hyperbolic manifolds with timelike boundary and show well-posedness of the Cauchy initial-boundary value problem coupled to APS…
Injective tensor products in strict deformation quantization
Simone Murro, Christiaan J. F. van de Ven
The aim of this paper is two-fold. Firstly we provide necessary and sufficient criteria for the existence of a strict deformation quantization of algebraic tensor products of Poiss…
On the Cauchy problem for Friedrichs systems on globally hyperbolic manifolds with timelike boundary
Nicolas Ginoux, Simone Murro
In this paper, the Cauchy problem for a Friedrichs system on a globally hyperbolic manifold with a timelike boundary is investigated. By imposing admissible boundary conditions, th…
Intertwining operators for symmetric hyperbolic systems on globally hyperbolic manifolds
Simone Murro, Daniele Volpe
In this paper, a geometric process to compare solutions of symmetric hyperbolic systems on (possibly different) globally hyperbolic manifolds is realized via a family of intertwini…
On the uniqueness of invariant states
Federico Bambozzi, Simone Murro
Given an abelian group G endowed with a T-pre-symplectic form, we assign to it a symplectic twisted group *-algebra W_G and then we provide criteria for the uniqueness of states in…
The Fermionic Signature Operator in De Sitter Spacetime
Claudio Dappiaggi, Felix Finster, Simone Murro +1
The fermionic projector state is a distinguished quasi-free state for the algebra of Dirac fields in a globally hyperbolic spacetime. We construct and analyze it in the four-dimens…
The well-posedness of the Cauchy problem for the Dirac operator on globally hyperbolic manifolds with timelike boundary
Nadine Große, Simone Murro
We consider the Dirac operator on globally hyperbolic manifolds with timelike boundary and show well-posedness of the Cauchy initial-boundary value problem coupled to MIT-boundary…
Invariant states on noncommutative tori
Federico Bambozzi, Simone Murro, Nicola Pinamonti
For any number such that is irrational and any skew-symmetric, non-degenerate bilinear form , let be $\mat…
Non-existence of natural states for Abelian Chern-Simons theory
Claudio Dappiaggi, Simone Murro, Alexander Schenkel
We give an elementary proof that Abelian Chern-Simons theory, described as a functor from oriented surfaces to C*-algebras, does not admit a natural state. Non-existence of natural…
A new class of Fermionic Projectors: Møller operators and mass oscillation properties
Nicolò Drago, Simone Murro
Recently, a new functional analytic construction of quasi-free states for a self-dual CAR algebra has been presented in \cite{Felix2}. This method relies on the so-called strong ma…
The Fermionic Signature Operator and Quantum States in Rindler Space-Time
Felix Finster, Simone Murro, Christian Röken
The fermionic signature operator is constructed in Rindler space-time. It is shown to be an unbounded self-adjoint operator on the Hilbert space of solutions of the massive Dirac e…
Wavefront sets and polarizations on supermanifolds
Claudio Dappiaggi, Heiko Gimperlein, Simone Murro +1
In this paper we develop the foundations for microlocal analysis on supermanifolds. Making use of pseudodifferential operators on supermanifolds as introduced by Rempel and Schmitt…
The Fermionic Projector in a Time-Dependent External Potential: Mass Oscillation Property and Hadamard States
Felix Finster, Simone Murro, Christian Röken
We give a non-perturbative construction of the fermionic projector in Minkowski space coupled to a time-dependent external potential which is smooth and decays faster than quadrati…
Radiative observables for linearized gravity on asymptotically flat spacetimes and their boundary induced states
Marco Benini, Claudio Dappiaggi, Simone Murro
We discuss the quantization of linearized gravity on globally hyperbolic, asymptotically flat, vacuum spacetimes and the construction of distinguished states which are both of Hada…