29 citations · 199 across the 28 of their papers we have counts for
28 papers
Subcriticality at High Temperatures in Spin Lattice Systems
Nicolò Drago, Lorenzo Pettinari, Christiaan J. F. van de Ven
We provide new sufficient conditions for subcriticality of classical and quantum spin lattice systems, formulated in terms of the uniqueness of Kubo-Martin-Schwinger (KMS) states.…
Classical and quantum KMS states on spin lattice systems
Nicolò Drago, Lorenzo Pettinari, Christiaan J. F. van de Ven
We study the classical and quantum KMS conditions within the context of spin lattice systems. Specifically, we define a strict deformation quantization (SDQ) for a -v…
Feynman path integrals on compact Lie groups with bi-invariant Riemannian metrics
Nicoló Drago, Sonia Mazzucchi, Valter Moretti
In this work we consider a suitable generalization of the Feynman path integral on a specific class of Riemannian manifolds consisting of compact Lie groups with bi-invariant Riema…
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…
DLR-KMS correspondence on lattice spin systems
Nicolò Drago, Christiaan J. F. van de Ven
The Dobrushin-Lanford-Ruelle (DLR) condition and the classical Kubo-Martin-Schwinger (KMS) condition are considered in the context of classical lattice systems. In particular, we p…
An algebraic correspondence between stochastic differential equations and the Martin-Siggia-Rose formalism
Alberto Bonicelli, Claudio Dappiaggi, Nicolò Drago
In the realm of complex systems, dynamics is often modeled in terms of a non-linear, stochastic, ordinary differential equation (SDE) with either an additive or a multiplicative Ga…
Strict deformation quantization and local spin interactions
Nicolò Drago, Christiaan J. F. van de Ven
We define a strict deformation quantization which is compatible with any Hamiltonian with local spin interaction (e.g. the Heisenberg Hamiltonian) for a spin chain. This is a gener…
An algebraic QFT approach to the Wetterich equation on Lorentzian manifolds
Edoardo D'Angelo, Nicolò Drago, Nicola Pinamonti +1
We discuss the scaling of the effective action for the interacting scalar quantum field theory on generic spacetimes with Lorentzian signature and in a generic state (including vac…
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.…
Classical KMS Functionals and Phase Transitions in Poisson Geometry
Nicolò Drago, Stefan Waldmann
We study the convex cone of not necessarily smooth measures satisfying the classical KMS condition within the context of Poisson geometry. We discuss the general properties of KMS…
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…
A Microlocal Approach to Renormalization in Stochastic PDEs
Claudio Dappiaggi, Nicolò Drago, Paolo Rinaldi +1
We present a novel framework for the study of a large class of non-linear stochastic PDEs, which is inspired by the algebraic approach to quantum field theory. The main merit is th…
Global wave parametrices on globally hyperbolic spacetimes
Matteo Capoferri, Claudio Dappiaggi, Nicolò Drago
In a recent work the first named author, Levitin and Vassiliev have constructed the wave propagator on a closed Riemannian manifold as a single oscillatory integral global both…
An operational construction of the sum of two non-commuting observables in quantum theory and related constructions
Nicolò Drago, Sonia Mazzucchi, Valter Moretti
The existence of a real linear-space structure on the set of observables of a quantum system -- i.e., the requirement that the linear combination of two generally non-commuting obs…
On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary
Claudio Dappiaggi, Nicolò Drago, Rubens Longhi
We study Maxwell's equation as a theory for smooth -forms on globally hyperbolic spacetimes with timelike boundary as defined by Aké, Flores and Sanchez. In particular we start…
Equilibrium states in Thermal Field Theory and in Algebraic Quantum Field Theory
João Braga de Góes Vasconcellos, Nicolò Drago, Nicola Pinamonti
In this paper we compare the construction of equilibrium states at finite temperature for self-interacting massive scalar quantum field theories on Minkowski spacetime proposed by…
The notion of observable and the moment problem for *-algebras and their GNS representations
Nicolò Drago, Valter Moretti
We address some usually overlooked issues concerning the use of -algebras in quantum theory and their physical interpretation. If is a -algebra describing a qu…
The algebra of Wick polynomials of a scalar field on a Riemannian manifold
Claudio Dappiaggi, Nicolò Drago, Paolo Rinaldi
On a connected, oriented, smooth Riemannian manifold without boundary we consider a real scalar field whose dynamics is ruled by , a second order elliptic partial differential o…
Ricci Flow from the Renormalization of Nonlinear Sigma Models in the Framework of Euclidean Algebraic Quantum Field Theory
Mauro Carfora, Claudio Dappiaggi, Nicolò Drago +1
The perturbative approach to nonlinear Sigma models and the associated renormalization group flow are discussed within the framework of Euclidean algebraic quantum field theory and…
Fundamental solutions for the wave operator on static Lorentzian manifolds with timelike boundary
Claudio Dappiaggi, Nicolò Drago, Hugo Ferreira
We consider the wave operator on static, Lorentzian manifolds with timelike boundary and we discuss the existence of advanced and retarded fundamental solutions in terms of boundar…
Thermal state with quadratic interaction
Nicolò Drago
We consider the perturbative construction, proposed in [37], for a thermal state for the theory of a real scalar Klein-Gordon field with interacting potential $…
Relative entropy and entropy production for equilibrium states in pAQFT
Nicolò Drago, Federico Faldino, Nicola Pinamonti
We analyze the relative entropy of certain KMS states for scalar self-interacting quantum field theories over Minkowski backgrounds that have been recently constructed by Fredenhag…
On the adiabatic limit of Hadamard states
Nicoló Drago, Christian Gérard
We consider the adiabatic limit of Hadamard states for free quantum Klein-Gordon fields, when the background metric and the field mass are slowly varied from their initial to final…
On the stability of KMS states in perturbative algebraic quantum field theories
Nicolo Drago, Federico Faldino, Nicola Pinamonti
We analyze the stability properties shown by KMS states for interacting massive scalar fields propagating over Minkowski spacetime, recently constructed in the framework of perturb…