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Pithis A G A and Sakellariadou M 2019 Group Field Theory Condensate Cosmology: An Appetizer Universe
Original
1904
Earlier work this paper cites.
de Cesare M 2019 Reconstruction of Mimetic Gravity in a Non-Singular Bouncing Universe from Quantum Gravity Universe
Original
1904
Earlier work this paper cites.
Di Tucci A, Feldbrugge J, Lehners J L and Turok N 2019 Quantum incompleteness of inflation Phys. Rev. D
Original
1906
Earlier work this paper cites.
Gielen S, Polaczek A and Wilson-Ewing E 2019 Addendum to “Relational Hamiltonian for group field theory” Phys. Rev. D
Original
1908
Earlier work this paper cites.
Ben Achour J and Livine E R 2019 Cosmology as a CFT 1 JHEP
Original
1909
Earlier work this paper cites.
Dapor A, Liegener K and Pawłowski T 2019 Challenges in recovering a consistent cosmology from the effective dynamics of loop quantum gravity Phys. Rev. D
Original
1910
Earlier work this paper cites.
Ponzano G and Regge T 1968 Semiclassical limit of Racah coefficients Spectroscopic and group theoretical methods in Physics
1968
Earlier work this paper cites.
Barut A O and Girardello L 1971 New “Coherent” States Associated with Non-Compact Groups Commun. Math. Phys
1971
Earlier work this paper cites.
Perelomov A M 1972 Coherent States for Arbitrary Lie Group Commun. Math. Phys
1972
Earlier work this paper cites.
Gilmore R 1972 Geometry of Symmetrized States Ann. Phys
1972
Earlier work this paper cites.
Blyth W F and Isham C J 1975 Quantization of a Friedmann universe filled with a scalar field Phys. Rev. D
1975
Earlier work this paper cites.
Perelomov A 1986 Generalized Coherent States and Their Applications
1986
Earlier work this paper cites.
Boulatov D 1992 A Model of Three-Dimensional Lattice Gravity Mod. Phys. Lett. A
1992
Earlier work this paper cites.
Lisowski T 1992 Expectation values of squeezing Hamiltonians in the SU(1,1) coherent states J. Phys. A
1992
Earlier work this paper cites.
Brown J D and Kuchař K V 1995 Dust as a standard of space and time in canonical quantum gravity Phys. Rev. D
1995
Earlier work this paper cites.
Barrett J W and Crane L 1998 Relativistic spin networks and quantum gravity J. Math. Phys
1998
Earlier work this paper cites.
De Pietri R, Freidel L, Krasnov K and Rovelli C 2000 Barrett–Crane model from a Boulatov–Ooguri field theory over a homogeneous space Nucl. Phys. B
2000
Earlier work this paper cites.
Barrett J W and Crane L 2000 A Lorentzian signature model for quantum general relativity Class. Quant. Grav
2000
Earlier work this paper cites.
Bojowald M 2001 Absence of a Singularity in Loop Quantum Cosmology Phys. Rev. Lett
2001
Earlier work this paper cites.
Reisenberger M P and Rovelli C 2001 Spacetime as a Feynman diagram: the connection formulation Class. Quant. Grav
2001
Earlier work this paper cites.
Borde A, Guth A H and Vilenkin A 2003 Inflationary Spacetimes Are Incomplete in Past Directions Phys. Rev. Lett
2003
Earlier work this paper cites.
Rovelli C 2004 Quantum Gravity
2004
Earlier work this paper cites.

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Then

Alesci E and Cianfrani F 2015 Loop quantum cosmology from quantum reduced loop gravity EPL
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2015
Later among the works it cites.
Ashtekar A and Gupt B 2015 Generalized effective description of loop quantum cosmology Phys. Rev. D
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Oriti D, Sindoni L and Wilson-Ewing E 2016 Emergent Friedmann dynamics with a quantum bounce from quantum gravity condensates Class. Quant. Grav
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de Cesare M, Pithis A G A and Sakellariadou M 2016 Cosmological implications of interacting group field theory models: Cyclic Universe and accelerated expansion Phys. Rev. D

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2019

Generalised effective cosmology from group field theory

Gielen, Steffen, Polaczek, Axel

Understand

We extend various recent results regarding the derivation of effective cosmological Friedmann equations from the dynamics of group field theory (GFT).

Restricting ourselves to a single GFT field mode (or fixed values of Peter-Weyl representation labels), we first consider dynamics given by a quadratic Hamiltonian, which takes the form of a squeezing operator, and then add a quartic interaction that can be seen as a toy model for interactions in full GFT.
Our derivation of effective Friedmann equations does not require a mean-field approximation; we mostly follow a general approach in which these equations in fact hold for any state.
The resulting cosmological equations exhibit corrections to classical Friedmann dynamics similar to those of loop quantum cosmology, leading to generic singularity resolution, but also involve further state-dependent terms.

Built on

Pithis A G A and Sakellariadou M 2019 Group Field Theory Condensate Cosmology: An Appetizer Universe
Original
1904
Earlier work this paper cites.
de Cesare M 2019 Reconstruction of Mimetic Gravity in a Non-Singular Bouncing Universe from Quantum Gravity Universe
Original
1904
Earlier work this paper cites.
Di Tucci A, Feldbrugge J, Lehners J L and Turok N 2019 Quantum incompleteness of inflation Phys. Rev. D
Original
1906
Earlier work this paper cites.
Gielen S, Polaczek A and Wilson-Ewing E 2019 Addendum to “Relational Hamiltonian for group field theory” Phys. Rev. D
Original
1908
Earlier work this paper cites.
Ben Achour J and Livine E R 2019 Cosmology as a CFT 1 JHEP
Original
1909
Earlier work this paper cites.
Dapor A, Liegener K and Pawłowski T 2019 Challenges in recovering a consistent cosmology from the effective dynamics of loop quantum gravity Phys. Rev. D
Original
1910
Earlier work this paper cites.
Ponzano G and Regge T 1968 Semiclassical limit of Racah coefficients Spectroscopic and group theoretical methods in Physics
1968
Earlier work this paper cites.
Barut A O and Girardello L 1971 New “Coherent” States Associated with Non-Compact Groups Commun. Math. Phys
1971
Earlier work this paper cites.
Perelomov A M 1972 Coherent States for Arbitrary Lie Group Commun. Math. Phys
1972
Earlier work this paper cites.
Gilmore R 1972 Geometry of Symmetrized States Ann. Phys
1972
Earlier work this paper cites.
Blyth W F and Isham C J 1975 Quantization of a Friedmann universe filled with a scalar field Phys. Rev. D
1975
Earlier work this paper cites.
Perelomov A 1986 Generalized Coherent States and Their Applications
1986
Earlier work this paper cites.
Boulatov D 1992 A Model of Three-Dimensional Lattice Gravity Mod. Phys. Lett. A
1992
Earlier work this paper cites.
Lisowski T 1992 Expectation values of squeezing Hamiltonians in the SU(1,1) coherent states J. Phys. A
1992
Earlier work this paper cites.
Brown J D and Kuchař K V 1995 Dust as a standard of space and time in canonical quantum gravity Phys. Rev. D
1995
Earlier work this paper cites.
Barrett J W and Crane L 1998 Relativistic spin networks and quantum gravity J. Math. Phys
1998
Earlier work this paper cites.
De Pietri R, Freidel L, Krasnov K and Rovelli C 2000 Barrett–Crane model from a Boulatov–Ooguri field theory over a homogeneous space Nucl. Phys. B
2000
Earlier work this paper cites.
Barrett J W and Crane L 2000 A Lorentzian signature model for quantum general relativity Class. Quant. Grav
2000
Earlier work this paper cites.
Bojowald M 2001 Absence of a Singularity in Loop Quantum Cosmology Phys. Rev. Lett
2001
Earlier work this paper cites.
Reisenberger M P and Rovelli C 2001 Spacetime as a Feynman diagram: the connection formulation Class. Quant. Grav
2001
Earlier work this paper cites.
Borde A, Guth A H and Vilenkin A 2003 Inflationary Spacetimes Are Incomplete in Past Directions Phys. Rev. Lett
2003
Earlier work this paper cites.
Rovelli C 2004 Quantum Gravity
2004
Earlier work this paper cites.

Similar

Hu B L 2005 Can Spacetime be a Condensate? Int. J. Theor. Phys
2005
Cited alongside, same era.
Freidel L 2005 Group Field Theory: An Overview Int. J. Theor. Phys
2005
Cited alongside, same era.
Ashtekar A, Pawlowski T and Singh P 2006 Quantum Nature of the Big Bang Phys. Rev. Lett
2006
Cited alongside, same era.
Oriti D 2006 The group field theory approach to Quantum Gravity Approaches to Quantum Gravity: Toward a New Understanding of Space, Time and Matter
2006
Cited alongside, same era.
Livine E R and Oriti D 2007 Coupling of spacetime atoms in 4D spin foam models from group field theory JHEP
2007
Cited alongside, same era.
Bojowald M 2007 Dynamical coherent states and physical solutions of quantum cosmological bounces Phys. Rev. D