88 citations · 329 across the 6 of their papers we have counts for
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Spin foam models with finite groups
Benjamin Bahr, Bianca Dittrich, James P. Ryan
Spin foam models, loop quantum gravity and group field theory are discussed as quantum gravity candidate theories and usually involve a continuous Lie group. We advocate here to co…
Perfect discretization of reparametrization invariant path integrals
Benjamin Bahr, Bianca Dittrich, Sebastian Steinhaus
To obtain a well defined path integral one often employs discretizations. In the case of gravity and reparametrization invariant systems, the latter of which we consider here as a…
Coarse graining free theories with gauge symmetries: the linearized case
Benjamin Bahr, Bianca Dittrich, Song He
Discretizations of continuum theories often do not preserve the gauge symmetry content. This occurs in particular for diffeomorphism symmetry in general relativity, which leads to…
Operator Spin Foam Models
Benjamin Bahr, Frank Hellmann, Wojciech Kamiński +2
The goal of this paper is to introduce a systematic approach to spin foams. We define operator spin foams, that is foams labelled by group representations and operators, as the mai…
Gauge-invariant coherent states for Loop Quantum Gravity II: Non-abelian gauge groups
Benjamin Bahr, Thomas Thiemann
This is the second paper concerning gauge-invariant coherent states for Loop Quantum Gravity. Here, we deal with the gauge group SU(2), this being a significant complication compar…
Gauge-invariant coherent states for Loop Quantum Gravity I: Abelian gauge groups
Benjamin Bahr, Thomas Thiemann
In this paper we investigate the properties of gauge-invariant coherent states for Loop Quantum Gravity, for the gauge group U(1). This is done by projecting the corresponding comp…