Fetching the paper…
Reading the bibliography…
We investigate a formulation of continuum 4d gravity in terms of a constrained BF theory, in the spirit of the Plebanski formulation, but involving only linear constraints, of the type used recently in the spin foam approach to quantum gravity.
Solving the simplicity constraints for spinfoam quantum gravity
E. R. Livine and S. Speziale · 1915
Earlier work this paper cites.
Raum. Zeit. Materie: Vorlesungen über allgemeine Relativitätstheorie, 5., umgearb. Aufl
Hermann Weyl · 1923
Earlier work this paper cites.
Die Grundlagen der Physik
David Hilbert · 1924
Earlier work this paper cites.
On the separation of Einsteinian substructures
Jerzy F. Plebański · 1977
Earlier work this paper cites.
Exactly Soluble Diffeomorphism Invariant Theories
Gary T. Horowitz · 1989
Earlier work this paper cites.
Regge calculus as a local theory of the Poincaré group
M. Caselle, A. D’Adda, and Lorenzo Magnea · 1989
Earlier work this paper cites.
Actions for gravity, with generalizations: A Review
Peter Peldan · 1994
Earlier work this paper cites.
A Hamiltonian formulation of topological gravity
H. Waelbroeck and J. A. Zapata · 1994
Earlier work this paper cites.
Barbero’s Hamiltonian derived from a generalized Hilbert-Palatini action
Sören Holst · 1996
Earlier work this paper cites.
A lattice worldsheet sum for 4-d Euclidean general relativity
Michael P. Reisenberger · 1997
Earlier work this paper cites.
Relativistic spin networks and quantum gravity
John W. Barrett and Louis Crane · 1998
Earlier work this paper cites.
BF description of higher-dimensional gravity theories
L. Freidel, Kirill Krasnov, and R. Puzio · 1999
Earlier work this paper cites.
Classical Euclidean general relativity from ‘left-handed area = right-handed area’
Michael P. Reisenberger · 1999
Earlier work this paper cites.
s o so (4) Plebaǹski action and relativistic spin-foam model
R. De Pietri and L. Freidel · 1999
Earlier work this paper cites.
The quantum tetrahedron in 3 and 4 dimensions
John C. Baez and John W. Barrett · 1999
Cited alongside, same era.
Barrett-Crane spin foam model from generalized BF-type action for gravity
Richard E. Livine and Daniele Oriti · 2002
Cited alongside, same era.
Projected spin networks for Lorentz connection: Linking spin foams and loop gravity
Etera R Livine · 2002
Cited alongside, same era.
General relativity with a topological phase: An action principle
Lee Smolin and Artem Starodubtsev · 2003
Cited alongside, same era.
Spin foam models for quantum gravity
Alejandro Perez · 2003
Cited alongside, same era.
Asymptotics of relativistic spin networks
John W. Barrett and Christopher M. Steele · 2003
Cited alongside, same era.
On the semiclassical limit of 4d spin foam models
Florian Conrady and Laurent Freidel · 2008
Later among the works it cites.
Flipped spinfoam vertex and loop gravity
Jonathan Engle, Roberto Pereira, and Carlo Rovelli · 2008
Later among the works it cites.
LQG vertex with finite Immirzi parameter
Jonathan Engle, Etera Livine, Roberto Pereira, and Carlo Rovelli · 2008
Later among the works it cites.
A new spin foam model for 4D gravity
Laurent Freidel and Kirill Krasnov · 2008
Later among the works it cites.
Simplicity and closure constraints in spin foam models of gravity
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
SU(2) loop quantum gravity seen from covariant theory
Sergei Alexandrov and Etera R. Livine · 2003
Cited alongside, same era.
Quantum Gravity
Carlo Rovelli · 2004
Cited alongside, same era.
Hamiltonian analysis of Plebanski theory
E. Buffenoir, M. Henneaux, K. Noui, and Ph. Roche · 2004
Cited alongside, same era.
The group field theory approach to quantum gravity
Daniele Oriti · 2006
Cited alongside, same era.
Modern canonical quantum general relativity
Thomas Thiemann · 2007
Cited alongside, same era.
Coupling of spacetime atoms and spin foam renormalisation from group field theory
Etera R. Livine and Daniele Oriti · 2007
Cited alongside, same era.
Sergei Alexandrov · 2008
Later among the works it cites.
Approaches to quantum gravity: Toward a new understanding of space, time and matter
Daniele Oriti · 2009
Later among the works it cites.
Plebanski Formulation of General Relativity: A Practical Introduction
Kirill Krasnov · 2009
Later among the works it cites.
Hamiltonian Analysis of non-chiral Plebanski Theory and its Generalizations
Sergei Alexandrov and Kirill Krasnov · 2009
Later among the works it cites.
A possible topological interpretation of the Barbero-Immirzi parameter
Simone Mercuri · 2009
Later among the works it cites.
Group field theory and simplicial quantum gravity
Daniele Oriti · 2009
Later among the works it cites.
Asymptotic analysis of the Engle-Pereira-Rovelli-Livine four-simplex amplitude
John W. Barrett, Richard J. Dowdall, Winston J. Fairbairn, Henrique Gomes, and Frank Hellmann · 2009
Later among the works it cites.
From lattice BF gauge theory to area-angle Regge calculus
Valentin Bonzom · 2009
Later among the works it cites.
Group field theory with non-commutative metric variables
Aristide Baratin and Daniele Oriti · 2010
Closest in time.