118 citations · 1.2k across the 46 of their papers we have counts for
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Hamiltonian Theory: generalizations to higher dimensions, supersymmetry and modified gravity
Norbert Bodendorfer, Konstantin Eder, Xiangdong Zhang
Loop quantum gravity in its Hamiltonian form relies on a connection formulation of the gravitational phase space with three key properties: 1.) a compact gauge group, 2.) real vari…
Path integral renormalisation in loop quantum cosmology
Norbert Bodendorfer, Muxin Han, Fabian Haneder +1
A coarse graining technique akin to block spin transformations that groups together fiducial cells in a homogeneous and isotropic universe has been recently developed in the contex…
A note on coarse graining and group representations
Norbert Bodendorfer, Fabian Haneder
A coarse graining operation of spatially homogeneous quantum states based on an SU(1,1) Lie group structure has recently been proposed in [1] and used in [2] to compute an explicit…
Perelomov type coherent states of SO(D + 1) in all dimensional loop quantum gravity
Gaoping Long, Norbert Bodendorfer
A comprehensive study of the application of SO coherent states of Perelomov type to loop quantum gravity in general spacetime dimensions is given in this paper.…
Mass and Horizon Dirac Observables in Effective Models of Quantum Black-to-White Hole Transition
Norbert Bodendorfer, Fabio M. Mele, Johannes Münch
In the past years, black holes and the fate of their singularity have been heavily studied within loop quantum gravity. Effective spacetime descriptions incorporating quantum geome…
(b,v)-type variables for black to white hole transitions in effective loop quantum gravity
Norbert Bodendorfer, Fabio M. Mele, Johannes Münch
Quantum gravity effects in effective models of loop quantum gravity, such as loop quantum cosmology, are encoded in the choice of so-called polymerisation schemes. Physical viabili…
Renormalisation with SU(1, 1) coherent states on the LQC Hilbert space
Norbert Bodendorfer, Dennis Wuhrer
We present an analytic computation of an explicit renormalisation group flow for cosmological states in loop quantum gravity. A key ingredient in our analysis are Perelomov coheren…
Effective Quantum Extended Spacetime of Polymer Schwarzschild Black Hole
Norbert Bodendorfer, Fabio M. Mele, Johannes Münch
The physical interpretation and eventual fate of gravitational singularities in a theory surpassing classical general relativity are puzzling questions that have generated a great…
A note on the Hamiltonian as a polymerisation parameter
Norbert Bodendorfer, Fabio M. Mele, Johannes Münch
In effective models of loop quantum gravity, the onset of quantum effects is controlled by a so-called polymerisation scale. It is sometimes necessary to make this scale phase spac…
Coarse graining as a representation change
Norbert Bodendorfer, Fabian Haneder
We discuss how SU coherent states from the discrete series allow for a natural coarse graining operation. The physical application are quantum theories based on a set of thr…
A note on the scalar products in sLQC
Norbert Bodendorfer
Solvable loop quantum cosmology provides a simple model of spatially flat, homogeneous, and isotropic quantum cosmology where the initial singularity is resolved. A close inspectio…
Is limiting curvature mimetic gravity an effective polymer quantum gravity?
Norbert Bodendorfer, Fabio M. Mele, Johannes Münch
A recently proposed version of mimetic gravity incorporates a limiting curvature into general relativity by means of a specific potential depending on the d'Alembertian of the scal…
On the canonical structure of general relativity with a limiting curvature and its relation to loop quantum gravity
Norbert Bodendorfer, Andreas Schäfer, John Schliemann
Chamseddine and Mukhanov recently proposed a modified version of general relativity that implements the idea of a limiting curvature. In the spatially flat, homogeneous, and isotro…
An elementary introduction to loop quantum gravity
Norbert Bodendorfer
An introduction to loop quantum gravity is given, focussing on the fundamental aspects of the theory, different approaches to the dynamics, as well as possible future directions. I…
State refinements and coarse graining in a full theory embedding of loop quantum cosmology
Norbert Bodendorfer
Bridging between descriptions involving few large and many small quantum numbers is the main open problem in loop quantum gravity. In other words, one would like to be able to repr…
Some notes on the Kodama state, maximal symmetry, and the isolated horizon boundary condition
Norbert Bodendorfer
We recall some well and some less known results about the Kodama state and the related ambiguity in defining canonical variables. Based on them, we make some comments highlight…
An embedding of loop quantum cosmology in (b, v) variables into a full theory context
Norbert Bodendorfer
Loop quantum cosmology in (b, v) variables, which is governed by a unit step size difference equation, is embedded into a full theory context based on similar variables. A full the…
A note on conformally compactified connection dynamics tailored for anti-de Sitter space
Norbert Bodendorfer
A framework conceptually based on the conformal techniques employed to study the structure of the gravitational field at infinity is set up in the context of loop quantum gravity t…
On the relation between reduced quantisation and quantum reduction for spherical symmetry in loop quantum gravity
Norbert Bodendorfer, Antonia Zipfel
Building on a recent proposal for a quantum reduction to spherical symmetry from full loop quantum gravity, we investigate the relation between a quantisation of spherically symmet…
The algebra of observables in Gaußian normal spacetime coordinates
Norbert Bodendorfer, Paweł Duch, Jerzy Lewandowski +1
We discuss the canonical structure of a spacetime version of the radial gauge, i.e. Gaußian normal spacetime coordinates. While it was found for the spatial version of the radial g…
General relativity in the radial gauge: Reduced phase space and canonical structure
Norbert Bodendorfer, Jerzy Lewandowski, Jedrzej Świeżewski
Firstly, we present a reformulation of the standard canonical approach to spherically symmetric systems in which the radial gauge is imposed. This is done via the gauge unfixing te…
A quantum reduction to spherical symmetry in loop quantum gravity
Norbert Bodendorfer, Jerzy Lewandowski, Jedrzej Świeżewski
Based on a recent purely geometric construction of observables for the spatial diffeomorphism constraint, we propose two distinct quantum reductions to spherical symmetry within fu…
A quantum reduction to Bianchi I models in loop quantum gravity
Norbert Bodendorfer
We propose a quantum symmetry reduction of loop quantum gravity to Bianchi I spacetimes. To this end, we choose the diagonal metric gauge for the spatial diffeomorphism constraint…
Black hole entropy from loop quantum gravity in higher dimensions
Norbert Bodendorfer
We propose a derivation for computing black hole entropy for spherical non-rotating isolated horizons from loop quantum gravity in four and higher dimensions. The state counting pr…