2 citations · 2 across the 7 of their papers we have counts for
7 papers
Integral representations of -divergences for general von Neumann algebras
Ricardo Correa da Silva, Markus B. Fröb, Gandalf Lechner +1
We define and analyze hockeystick divergences and -divergences for normal positive functionals on general von Neumann algebras, generalizing and unifying previous work in classi…
A UV-Finite Refinement of the Ryu-Takayanagi Relation in AdS/CFT
Albert Much, Philipp Dorau, Leonardo Sangaletti +1
We establish a refined Ryu--Takayanagi (RT) relation in AdS/CFT using \emph{relative entropy} as the central object, in place of the ultraviolet-divergent von Neumann entan…
Bounding relative entropy for non-unitary excitations in quantum field theory
Markus B. Fröb, Leonardo Sangaletti
We show how one can use the convexity of non-commutative norms to bound the relative entropy between a faithful state on a von Neumann algebra and an arbitrary excitation the…
Haag Duality in the Thermal Sector
Stefano Galanda, Leonardo Sangaletti
We prove that the net of localised von Neumann algebras associated with a real scalar field propagating on Minkowski spacetime, in the KMS representation, satisfies a generalised v…
Quantum inequalities in thermal states
Henning Bostelmann, Daniela Cadamuro, Leonardo Sangaletti
In thermal quantum field theory, the global Liouvillian (the generator of time translations) is passive. How is this reflected in the properties of its local density, a quantum fie…
Petz-Rényi relative entropy in QFT from modular theory
Markus B. Fröb, Leonardo Sangaletti
We consider the generalization of the Araki-Uhlmann formula for relative entropy to Petz-Rényi relative entropy. We compute this entropy for a free scalar field in the Minkowski we…
Secular growths and their relation to equilibrium states in perturbative QFT
Stefano Galanda, Nicola Pinamonti, Leonardo Sangaletti
In the perturbative treatment of interacting quantum field theories, if the interaction Lagrangian changes adiabatically in a finite interval of time, secular growths may appear in…