Fetching the paper…
Reading the bibliography…
We present a method of constructing a space of quantum states for a field theory: given phase space of a theory, we define a family of physical systems each possessing a finite number of degrees of freedom, next we define a space of quantum states for each finite system, finally using projective techniques we organize all these spaces into a space of quantum states which corresponds to the original phase space.
Kijowski J 1977 Symplectic geometry and second quantization Rep. Math. Phys
1977
Earlier work this paper cites.
Plebański J F 1977 On the separation of Einsteinian substructures J. Math. Phys
1977
Earlier work this paper cites.
Ashtekar A 1986 New Variables for Classical and Quantum Gravity Phys. Rev. Lett
1986
Earlier work this paper cites.
Ashtekar A 1987 A New Hamiltonian Formulation of General Relativity Phys. Rev
1987
Earlier work this paper cites.
Ashtekar A and Lewandowski J 1994 Representation theory of analytic holonomy C ⋆ C^{\star} -algebras Knots and quantum gravity
1994
Earlier work this paper cites.
Ashtekar A, Lewandowski J, Marolf D, Mourão J and Thiemann T 1995 Quantization of diffeomorphism invariant theories of connections with local degrees of freedom J. Math. Phys
1995
Earlier work this paper cites.
Ashtekar A and Lewandowski J 1995 Differential Geometry on the Space of Connections via Graphs and Projective Limits J. Geom. Phys
1995
Earlier work this paper cites.
Jacobson T 1996 1 + 1 1+1 Sector of 3 + 1 3+1 Gravity Class. Quan. Grav
1996
Cited alongside, same era.
Kijowski J, Rudolph G and Thielmann A 1997 Algebra of Observables and Charge Superselection Sectors for QED on the Lattice Comm. Math. Phys
1997
Cited alongside, same era.
Ashtekar A and Lewandowski J 1997 Quantum theory of geometry I: Area operators Class. Quant. Grav
1997
Cited alongside, same era.
Ashtekar A, Corichi A and Zapata J A 1998 Quantum Theory of Geometry III: Non-commutativity of Riemannian Structures Class. Quant. Grav
1998
Cited alongside, same era.
Thiemann T 2001 Introduction to Modern Canonical Quantum General Relativity E-print
2001
Cited alongside, same era.
Okołów A 2009 Quantization of diffeomorphism invariant theories of connections with a non-compact structure group - an example Comm. Math. Phys
2009
Later among the works it cites.
Ashtekar A and Singh P 2011 Loop Quantum Cosmology: A Status Report Class. Quant. Grav
2011
Later among the works it cites.
Maluf J W 2013 The teleparallel equivalent of general relativity E-print
2013
Closest in time.
Okołów A 2013 ADM-like Hamiltonian formulation of gravity in the teleparallel geometry E-print
2013
Closest in time.
2013
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2003
Cited alongside, same era.
Ashtekar A and Lewandowski L 2004 Background Independent Quantum Gravity: A Status Report Class. Quant. Grav
2004
Cited alongside, same era.
Okołów A, Variables suitable for constructing quantum states for the Teleparallel Equivalent of General Relativity II in preparation
Cited in the paper.