118 citations · 1.2k across the 46 of their papers we have counts for
46 papers
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…
Variational Monte Carlo with Neural Network Quantum States for Yang-Mills Matrix Model
Norbert Bodendorfer, Onur Oktay, Vaibhav Gautam +2
We apply the variational Monte Carlo method based on neural network quantum states, using a neural autoregressive flow architecture as our ansatz, to determine the ground state wav…
Precision test of gauge/gravity duality in D0-brane matrix model at low temperature
Stratos Pateloudis, Georg Bergner, Masanori Hanada +5
We test the gauge/gravity duality between the matrix model and type IIA string theory at low temperatures with unprecedented accuracy. To this end, we perform lattice Monte Carlo s…
Nonperturbative test of the Maldacena-Milekhin conjecture for the BMN matrix model
Stratos Pateloudis, Georg Bergner, Norbert Bodendorfer +3
We test a conjecture by Maldacena and Milekhin for the ungauged version of the Berenstein-Maldacena-Nastase (BMN) matrix model by lattice Monte Carlo simulation. The numerical resu…
Confinement/deconfinement transition in the D0-brane matrix model -- A signature of M-theory?
Georg Bergner, Norbert Bodendorfer, Masanori Hanada +5
We study the confinement/deconfinement transition in the D0-brane matrix model (often called the BFSS matrix model) and its one-parameter deformation (the BMN matrix model) numeric…
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.…
Partial Deconfinement at Strong Coupling on the Lattice
Hiromasa Watanabe, Georg Bergner, Norbert Bodendorfer +5
We provide evidence for partial deconfinement -- the deconfinement of a SU() subgroup of the SU() gauge group -- by using lattice Monte Carlo simulations. We take matrix mode…
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…
Thermal phase transition in Yang-Mills matrix model
Georg Bergner, Norbert Bodendorfer, Masanori Hanada +3
We study the bosonic matrix model obtained as the high-temperature limit of two-dimensional maximally supersymmetric SU() Yang-Mills theory. So far, no consensus about the order…
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…
Lattice study of Rényi entanglement entropy in lattice Yang-Mills theory with
Andreas Rabenstein, Norbert Bodendorfer, Pavel Buividovich +1
We consider the second Rényi entropy in pure lattice gauge theory with , and gauge groups, which serves as a first approximation for the entangleme…
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…
Holographic Signatures of Resolved Cosmological Singularities II: Numerical Investigations
Norbert Bodendorfer, Fabio M. Mele, Johannes Münch
A common strategy to investigate the fate of gravitational singularities in asymptotically AdS spacetimes is to translate the question from the gravitational side to a dual field t…
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…
Holographic signatures of resolved cosmological singularities
Norbert Bodendorfer, Andreas Schäfer, John Schliemann
The classical gravity approximation is often employed in AdS/CFT to study the dual field theory, as it allows for many computations. A drawback is however the generic presence of s…
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…