104 citations · 384 across the 9 of their papers we have counts for
9 papers
Holonomy Operator and Quantization Ambiguities on Spinor Space
Etera R. Livine, Johannes Tambornino
We construct the holonomy-flux operator algebra in the recently developed spinor formulation of loop gravity. We show that, when restricting to SU(2)-gauge invariant operators, the…
Spinors and Twistors in Loop Gravity and Spin Foams
Maite Dupuis, Simone Speziale, Johannes Tambornino
Spinorial tools have recently come back to fashion in loop gravity and spin foams. They provide an elegant tool relating the standard holonomy-flux algebra to the twisted geometry…
Loop gravity in terms of spinors
Etera R. Livine, Johannes Tambornino
We show that loop gravity can equally well be formulated in in terms of spinorial variables (instead of the group variables which are commonly used), which have recently been shown…
Twistor Networks and Covariant Twisted Geometries
Etera R. Livine, Simone Speziale, Johannes Tambornino
We study the symplectic reduction of the phase space of two twistors to the cotangent bundle of the Lorentz group. We provide expressions for the Lorentz generators and group eleme…
Spinor Representation for Loop Quantum Gravity
Etera R. Livine, Johannes Tambornino
We perform a quantization of the loop gravity phase space purely in terms of spinorial variables, which have recently been shown to provide a direct link between spin network state…
Born--Oppenheimer decomposition for quantum fields on quantum spacetimes
Kristina Giesel, Johannes Tambornino, Thomas Thiemann
Quantum Field Theory on Curved Spacetime (QFT on CS) is a well established theoretical framework which intuitively should be a an extremely effective description of the quantum nat…
LTB spacetimes in terms of Dirac observables
K. Giesel, J. Tambornino, T. Thiemann
The construction of Dirac observables, that is gauge invariant objects, in General Relativity is technically more complicated than in other gauge theories such as the standard mode…
Gauge invariant perturbations around symmetry reduced sectors of general relativity: applications to cosmology
Bianca Dittrich, Johannes Tambornino
We develop a gauge invariant canonical perturbation scheme for perturbations around symmetry reduced sectors in generally covariant theories, such as general relativity. The centra…
A perturbative approach to Dirac observables and their space-time algebra
Bianca Dittrich, Johannes Tambornino
We introduce a general approximation scheme in order to calculate gauge invariant observables in the canonical formulation of general relativity. Using this scheme we will show how…