Built on

S. Weinberg: Living with infinities
Original
1964
Earlier work this paper cites.
M.E. Shaposhnikov and I.I. Tkachev: Quantum scale invariance on the lattice
Original
1967
Earlier work this paper cites.
J. Greensite and M.B. Halpern: Stabilizing bottomless action theories
1984
Earlier work this paper cites.
J. Ambjørn, J. Greensite and S. Varsted: A nonperturbative definition of 2-D quantum gravity by the fifth time action
1990
Earlier work this paper cites.
J. Ambjørn and J. Greensite: Nonperturbative calculation of correlators in 2-D quantum gravity
1991
Earlier work this paper cites.
J. Ambjørn and C.F. Kristjansen: Nonperturbative 2-d quantum gravity and Hamiltonians unbounded from below
1993
Earlier work this paper cites.
A. Jevicki and J.P. Rodrigues: Loop space Hamiltonians and field theory of noncritical strings
1994
Earlier work this paper cites.
H. Kawai, N. Kawamoto, T. Mogami and Y. Watabiki: Transfer matrix formalism for two-dimensional quantum gravity and fractal structures of space-time,
1995
Earlier work this paper cites.

Similar

M. Ikehara, N. Ishibashi, H. Kawai, T. Mogami, R. Nakayama and N. Sasakura: A note on string field theory in the temporal gauge
1995
Cited alongside, same era.
J. Ambjørn and R. Loll: Non-perturbative Lorentzian quantum gravity, causality and topology change,
1998
Cited alongside, same era.
J. Ambjørn, R. Loll, J. L. Nielsen and J. Rolf: Euclidean and Lorentzian quantum gravity: Lessons from two dimensions
2000
Cited alongside, same era.
M. Chaichian and A. Demichev: Path integrals in physics, volume II
2001
Cited alongside, same era.
J. Zinn-Justin: Quantum field theory and critical phenomena
2002
Cited alongside, same era.
J. Ambjørn, A. Görlich, J. Jurkiewicz and R. Loll: Planckian birth of the quantum de Sitter universe,

Then

J. Ambjørn, R. Loll, W. Westra and S. Zohren, Putting a cap on causality violations in CDT
Original
2007
Later among the works it cites.
J. Ambjørn, R. Loll, Y. Watabiki, W. Westra and S. Zohren: A string field theory based on causal dynamical triangulations
Original
2008
Later among the works it cites.
J. Ambjørn, J. Jurkiewicz and R. Loll: Dynamically triangulating Lorentzian quantum gravity,
2009
Closest in time.
M. Shaposhnikov and D. Zenhäusern: Quantum scale invariance, cosmological constant and hierarchy problem
Original
2009
Closest in time.
P. Hořava: Spectral dimension of the universe in quantum gravity at a Lifshitz point
Original
2009

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2009

Stochastic quantization and the role of time in quantum gravity

Ambjorn, J., Loll, R., Westra, W. et al.

Understand

We show that the noncritical string field theory developed from two-dimensional quantum gravity in the framework of causal dynamical triangulations can be viewed as arising through a stochastic quantization.

This requires that the proper time appearing in the string field theory be identified with the stochastic time of the stochastic formulation.
The framework of stochastic quantization gives rise to a natural nonperturbative quantum Hamiltonian, which incorporates a sum over all spacetime topologies.
We point out that the external character of stochastic time is a feature that pertains more generally to the proper time or distance appearing in nonperturbative correlation functions in quantum gravity.

Built on

S. Weinberg: Living with infinities
Original
1964
Earlier work this paper cites.
M.E. Shaposhnikov and I.I. Tkachev: Quantum scale invariance on the lattice
Original
1967
Earlier work this paper cites.
J. Greensite and M.B. Halpern: Stabilizing bottomless action theories
1984
Earlier work this paper cites.
J. Ambjørn, J. Greensite and S. Varsted: A nonperturbative definition of 2-D quantum gravity by the fifth time action
1990
Earlier work this paper cites.
J. Ambjørn and J. Greensite: Nonperturbative calculation of correlators in 2-D quantum gravity
1991
Earlier work this paper cites.
J. Ambjørn and C.F. Kristjansen: Nonperturbative 2-d quantum gravity and Hamiltonians unbounded from below
1993
Earlier work this paper cites.
A. Jevicki and J.P. Rodrigues: Loop space Hamiltonians and field theory of noncritical strings
1994
Earlier work this paper cites.
H. Kawai, N. Kawamoto, T. Mogami and Y. Watabiki: Transfer matrix formalism for two-dimensional quantum gravity and fractal structures of space-time,
1995
Earlier work this paper cites.

Similar

M. Ikehara, N. Ishibashi, H. Kawai, T. Mogami, R. Nakayama and N. Sasakura: A note on string field theory in the temporal gauge
1995
Cited alongside, same era.
J. Ambjørn and R. Loll: Non-perturbative Lorentzian quantum gravity, causality and topology change,
1998
Cited alongside, same era.
J. Ambjørn, R. Loll, J. L. Nielsen and J. Rolf: Euclidean and Lorentzian quantum gravity: Lessons from two dimensions
2000
Cited alongside, same era.
M. Chaichian and A. Demichev: Path integrals in physics, volume II
2001
Cited alongside, same era.
J. Zinn-Justin: Quantum field theory and critical phenomena
2002
Cited alongside, same era.
J. Ambjørn, A. Görlich, J. Jurkiewicz and R. Loll: Planckian birth of the quantum de Sitter universe,