B. Bahr

Publications71
h-index22
Citations1,281
Highly Influential Citations39
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Broken) Gauge symmetries and constraints in Regge calculus
We will examine the issue of diffeomorphism symmetry in simplicial models of (quantum) gravity, in particular for Regge calculus. We find that for a solution with curvature there do not exist exact…
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A new realization of quantum geometry
We construct in this article a new realization of quantum geometry, which is obtained by quantizing the recently-introduced flux formulation of loop quantum gravity. In this framework, the vacuum is…
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Towards a cosmological subsector of spin foam quantum gravity
We examine the four dimensional path integral for Euclidean quantum gravity in the context of the EPRL-FK spin foam model. The state sum is restricted to certain symmetric configurations which…
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Improved and Perfect Actions in Discrete Gravity
We consider the notion of improved and perfect actions within Regge calculus. These actions are constructed in such a way that they - although being defined on a triangulation - reproduce the…
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On background-independent renormalization of spin foam models
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Investigation of the spinfoam path integral with quantum cuboid intertwiners
In this work, we investigate the 4d path integral for Euclidean quantum gravity on a hypercubic lattice, as given by the Spin Foam model by Engle, Pereira, Rovelli, Livine, Freidel and Krasnov…
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Coarse-graining free theories with gauge symmetries: the linearized case
TLDR
The method of perfect actions is discussed, which attempts to restore gauge symmetries by mirroring exactly continuum physics on a lattice via a coarse graining process through the discretization of linearized gravity.
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Discretisations, Constraints and Diffeomorphisms in Quantum Gravity
TLDR
The Consistent Discretizations approach is reviewed, which is an ap- plication of the master constraint program to construct the physical Hilbert space of the canonical theory, as well as the Perfect Actions approach, which aims at finding a path integral measure with the correct symmetry behavior under diffeomorphisms.
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Numerical Evidence for a Phase Transition in 4D Spin-Foam Quantum Gravity.
TLDR
It appears that the critical point between the phases is precisely where broken diffeomorphism symmetry is restored, which suggests that it might allow us to define a continuum limit of the quantum gravity theory.
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Perfect discretization of reparametrization invariant path integrals
TLDR
It is shown that a discretized path integral with reparametrization-invariance is necessarily also discretization independent and therefore uniquely determined by the corresponding continuum quantum mechanical propagator, akin to a Wilsonian RG flow.
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