87 citations · 450 across the 8 of their papers we have counts for
8 papers
Constraint algebra in LQG reloaded : Toy model of an Abelian gauge theory - II Spatial Diffeomorphisms
Adam Henderson, Alok Laddha, casey Tomlin
In [1] we initiated an approach towards quantizing the Hamiltonian constraint in Loop Quantum Gravity (LQG) by requiring that it generates an anomaly-free representation of constra…
Constraint algebra in LQG reloaded : Toy model of a U(1)^{3} Gauge Theory I
Adam Henderson, Alok Laddha, Casey Tomlin
We analyze the issue of anomaly-free representations of the constraint algebra in Loop Quantum Gravity (LQG) in the context of a diffeomorphism-invariant gauge theory in three spac…
A Hamiltonian Formulation of the BKL Conjecture
Abhay Ashtekar, Adam Henderson, David Sloan
The Belinskii, Khalatnikov and Lifshitz conjecture \cite{bkl1} posits that on approach to a space-like singularity in general relativity the dynamics are well approximated by `igno…
Local spinfoam expansion in loop quantum cosmology
Adam Henderson, Carlo Rovelli, Francesca Vidotto +1
The quantum dynamics of the flat Friedmann-Lemaitre-Robertson-Walker and Bianchi I models defined by loop quantum cosmology have recently been translated into a spinfoam-like forma…
Path Integrals and the WKB approximation in Loop Quantum Cosmology
Abhay Ashtekar, Miguel Campiglia, Adam Henderson
We follow the Feynman procedure to obtain a path integral formulation of loop quantum cosmology starting from the Hilbert space framework. Quantum geometry effects modify the weigh…
Vertex Expansion for the Bianchi I model
Miguel Campiglia, Adam Henderson, William Nelson
A perturbative expansion of Loop Quantum Cosmological transitions amplitudes of Bianchi I models is performed. Following the procedure outlined in [1,2] for isotropic models, it is…