74 citations · 579 across the 34 of their papers we have counts for
35 papers
A generalization of the Powers-Størmer-Ogata inequality
Markus B. Fröb
We show that for any positive operator monotone function the inequality $\int_{[0,\infty)} f(t) \, \mathrm{d} \left\lVert E^{Δ_{φ,ψ}}(t) ξ_ψ\right\rVert^2 + f'_\infty φ(1-s(ψ))…
The Sine-Gordon QFT in de Sitter spacetime
Daniela Cadamuro, Markus B. Fröb, Carolina Moreira Ferrera
We consider the massless Sine-Gordon model in de Sitter spacetime, in the regime and using the framework of perturbative algebraic quantum field theory. We show that a…
Heat kernel coefficients for massive gravity
Renata Ferrero, Markus B. Fröb, William C. C. Lima
We compute the heat kernel coefficients that are needed for the regularization and renormalization of massive gravity. Starting from the Stueckelberg action for massive gravity, we…
Universal definition of the non-conformal trace anomaly
Renata Ferrero, Sebastián A. Franchino-Viñas, Markus B. Fröb +1
We show that there exists a generalized, universal notion of the trace anomaly for theories which are not conformally invariant at the classical level. The definition is suitable f…
Modular Hamiltonian for fermions of small mass
Daniela Cadamuro, Markus B. Fröb, Christoph Minz
We consider the algebra of massive fermions restricted to a diamond in two-dimensional Minkowski spacetime, and in the Minkowski vacuum state. While the massless modular Hamiltonia…
Relative Entropy in de Sitter is a Noether Charge
Markus Fröb, Albert Much, Kyriakos Papadopoulos
We compute the relative entropy between the vacuum and a coherent state for a massive scalar field in de Sitter spacetime, using Tomita-Takesaki modular theory and the Araki-Uhlman…
Modular Hamiltonian for de Sitter diamonds
Markus B. Fröb
We determine the Tomita-Takesaki modular data for CFTs in double cone and light cone regions in conformally flat spacetimes. This includes in particular the modular Hamiltonian for…
Non-commutative Geometry from Perturbative Quantum Gravity in de Sitter spacetime
Markus Fröb, William C. C. Lima, Albert Much +1
We show that a non-commutative structure arises naturally from perturbative quantum gravity in a de Sitter background metric. Our work builds on recent advances in the construction…
Trace anomalies for Weyl fermions: too odd to be true?
S. Abdallah, S. A. Franchino-Viñas, M. Fröb
We review recent discussions regarding the parity-odd contribution to the trace anomaly of a chiral fermion. We pay special attention to the perturbative approach in terms of Feynm…
Non-commutative coordinates from quantum gravity
Markus B. Fröb, Albert Much, Kyriakos Papadopoulos
Local observables in (perturbative) quantum gravity are notoriously hard to define, since the gauge symmetry of gravity -- diffeomorphisms -- moves points on the manifold. In parti…
Synchronous coordinates and gauge-invariant observables in cosmological spacetimes
Markus B. Fröb, William C. C. Lima
We consider the relational approach to construct gauge-invariant observables in cosmological perturbation theory using synchronous coordinates. We construct dynamical synchronous c…
Non-commutative Geometry from Perturbative Quantum Gravity
Markus Fröb, Albert Much, Kyriakos Papadopoulos
Trying to connect a fundamentally non-commutative spacetime with the conservative perturbative approach to quantum gravity, we are led to the natural question: are non-commutative…
Local operators in the Sine-Gordon model: and the stress tensor
Markus B. Fröb, Daniela Cadamuro
We consider the simplest non-trivial local composite operators in the massless Sine-Gordon model, which are and the stress tensor . We show that…
Trace anomaly of Weyl fermions in the Breitenlohner--Maison scheme for
S. Abdallah, S. A Franchino-Viñas, M. B. Fröb
We revisit the conformal anomaly for a Weyl fermion in four dimensions that has generated some debate recently. We employ a perturbative expansion for the metric around Minkowski s…
On well-posedness and algebraic type of the five-dimensional charged rotating black hole with two equal-magnitude angular momenta
Markus B. Fröb, Igor Khavkine, Tomáš Málek +1
We study various mathematical aspects of the charged rotating black hole with two equal-magnitude angular momenta in five dimensions. We introduce a coordinate system that is regul…
Graviton corrections to the Newtonian potential using invariant observables
M. B. Fröb, C. Rein, R. Verch
We consider the effective theory of perturbative quantum gravity coupled to a point particle, quantizing fluctuations of both the gravitational field and the particle's position ar…
Cosmological Perturbations and Invariant Observables in Geodesic Lightcone Coordinates
Markus B. Fröb, William C. C. Lima
We consider a recent approach to the construction of gauge-invariant relational observables in gravity in the context of cosmological perturbation theory. These observables are con…
Deformations of Supergravity and Supersymmetry Anomalies
Markus B. Fröb, Camillo Imbimbo, Nicolò Risso
We present a BRST analysis of supersymmetry anomalies of supersymmetric quantum field theories with anomalous R symmetry. To this end, we consider the coupling of…
Trace anomaly for chiral fermions via Hadamard subtraction
Markus B. Fröb, Jochen Zahn
We calculate the trace (conformal) anomaly for chiral fermions in a general curved background using Hadamard subtraction. While in intermediate steps of the calculation imaginary t…
Anomalies in time-ordered products and applications to the BV-BRST formulation of quantum gauge theories
Markus B. Fröb
We show that every (graded) derivation on the algebra of free quantum fields and their Wick powers in curved spacetimes gives rise to a set of anomalous Ward identities for time-or…
Approaches to linear local gauge-invariant observables in inflationary cosmologies
Markus B. Fröb, Thomas-Paul Hack, Igor Khavkine
We review and relate two recent complementary constructions of linear local gauge-invariant observables for cosmological perturbations in generic spatially flat single-field inflat…
Propagators for gauge-invariant observables in cosmology
Markus B. Fröb, William C. C. Lima
We make a proposal for gauge-invariant observables in perturbative quantum gravity in cosmological spacetimes, building on the recent work of Brunetti et al. [JHEP 08 (2016) 032].…
Gauge-invariant quantum gravitational corrections to correlation functions
Markus B. Fröb
A recent proposal for gauge-invariant observables in inflation [R. Brunetti et al., JHEP 1608 (2016) 032] is examined. We give a generalisation of their construction to general bac…
Green's functions and Hadamard parametrices for vector and tensor fields in general linear covariant gauges
Markus B. Fröb, Mojtaba Taslimi Tehrani
We determine the retarded and advanced Green's functions and Hadamard parametrices in curved spacetimes for linearized massive and massless gauge bosons and linearized Einstein gra…