102 citations · 204 across the 19 of their papers we have counts for
20 papers
Relative entropy in quantum field theory: the case of squeezed fermions
Markus B. Fröb
We review the role of relative entropy in quantum field theories, where the local von Neumann algebras are generically of type III. Consequently, only few exact results are known,…
Relative entropy for in the Rindler wedge
Markus B. Fröb, Albert Much, Kyriakos Papadopoulos
We consider the relative entropy between the vacuum and a coherent state in the Rindler wedge for an interacting theory to first order in . We construct the perturbativel…
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…
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…
A proposal for the algebra of a novel noncommutative spacetime
Markus B. Fröb, Albert Much, Kyriakos Papadopoulos
We investigate the quantum structure of spacetime at fundamental scales via a novel, Lorentz-invariant noncommutative coordinate framework. Building on insights from noncommutative…
Finite relative entropy for locally squeezed states
Daniela Cadamuro, Markus B. Fröb, Dimitrios Katsinis +1
Relative entropy serves as a fundamental measure of state distinguishability in both quantum information theory and relativistic quantum field theory. Despite its conceptual import…
Measurements in stochastic gravity and thermal variance
Markus B. Fröb, Dražen Glavan, Paolo Meda
We analyze the thermal fluctuations of a free, conformally invariant, Maxwell quantum field (photon) interacting with a cosmological background spacetime, in the framework of quant…
Relating the modular Hamiltonian to two-point functions
Markus B. Fröb
We consider the modular Hamiltonian associated to standard subspaces for a free scalar field in a globally hyperbolic spacetime in an arbitrary Gaussian state. We show how the modu…
De Sitter quantum gravity within the covariant Lorentzian approach to asymptotic safety
Edoardo D'Angelo, Renata Ferrero, Markus B. Fröb
Recent technical and conceptual advancements in the asymptotic safety approach to quantum gravity have enabled studies of the UV completion of Lorentzian Einstein gravity, emphasiz…
Global Hyperbolicity and Self-adjointness
Markus B. Fröb, Albert Much, Kyriakos Papadopoulos
We show that the spatial part of the Klein-Gordon operator is an essentially self-adjoint operator on the Cauchy surfaces of various classes of spacetimes. Our proof employs the in…
Modular Hamiltonian and modular flow of massless fermions on a cylinder
Daniela Cadamuro, Markus B. Fröb, Guillem Pérez-Nadal
We determine explicitly the modular flow and the modular Hamiltonian for massless free fermions in diamonds on a cylinder in 1+1 dimensions. We consider both periodic and antiperio…
Entropy-area law and temperature of de Sitter horizons from modular theory
Edoardo D'Angelo, Markus B. Fröb, Stefano Galanda +3
We derive an entropy-area law for the future horizon of an observer in diamonds inside the static patch of de Sitter spacetime, taking into account the backreaction of quantum matt…
A quantum energy inequality in the Sine--Gordon model
Markus B. Fröb, Daniela Cadamuro
We consider the stress tensor in the massless Sine--Gordon model in the finite regime of the theory. We prove convergence of the renormalised perturbative series for th…
Constructing CFTs from AdS flows
Markus B. Fröb
We study the renormalization group flow equations for correlation functions of weakly coupled quantum field theories in AdS. Taking the limit where the external points approach the…
FieldsX -- An extension package for the xAct tensor computer algebra suite to include fermions, gauge fields and BRST cohomology
Markus B. Fröb
I present the tensor computer algebra package FieldsX, which extends the xAct suite of tensor algebra packages to perform computations in field theory with fermions and gauge field…
One-loop quantum gravitational corrections to the scalar two-point function at fixed geodesic distance
Markus B. Fröb
We study a proposal for gauge-invariant correlation functions in perturbative quantum gravity, which are obtained by fixing the geodesic distance between points in the fluctuating…
Mode-sum construction of the covariant graviton two-point function in the Poincaré patch of de Sitter space
Markus B. Fröb, Atsushi Higuchi, William C. C. Lima
We construct the graviton two-point function for a two-parameter family of linear covariant gauges in n-dimensional de Sitter space. The construction is performed via the mode-sum…
The Weyl tensor correlator in cosmological spacetimes
Markus B. Fröb
We give a general expression for the Weyl tensor two-point function in a general Friedmann-Lemaître-Robertson-Walker spacetime. We work in reduced phase space for the perturbations…
Schwinger effect in de Sitter space
Markus B. Fröb, Jaume Garriga, Sugumi Kanno +4
We consider Schwinger pair production in 1+1 dimensional de Sitter space, filled with a constant electric field . This can be thought of as a model for describing false vacuum d…
Fully renormalized stress tensor correlator in flat space
Markus B. Fröb
We present a general procedure to renormalize the stress tensor two-point correlation function on a Minkowski background in position space. The method is shown in detail for the ca…