6 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 Ryu-Takayanagi Relation from Relative Entropy in AdS/CFT
Albert Much, Philipp Dorau, Leonardo Sangaletti +1
We establish a Ryu-Takayanagi (RT) relation in AdS/CFT using \emph{relative entropy} as the central object, in place of the ultraviolet-divergent von Neumann entanglement e…
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…
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 w…
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…