Quantum flatness in two-dimensional quantum gravity

@article{Brunekreef2021QuantumFI,
  title={Quantum flatness in two-dimensional quantum gravity},
  author={J. Brunekreef and R. Loll},
  journal={Physical Review D},
  year={2021}
}
Flatness – the absence of spacetime curvature – is a well-understood property of macroscopic, classical spacetimes in general relativity. The same cannot be said about the concepts of curvature and flatness in nonperturbative quantum gravity, where the microscopic structure of spacetime is not describable in terms of small fluctuations around a fixed background geometry. An interesting case are two-dimensional models of quantum gravity, which lack a classical limit and therefore are maximally… 

References

SHOWING 1-10 OF 51 REFERENCES
Euclidean and Lorentzian Quantum Gravity Lessons from Two Dimensions
TLDR
It is shown that conventional 2d Euclidean quantum gravity can be obtained from Lorentzian quantum gravity by an analytic continuation only if the authors allow for spatial topology changes in the latter.
Non-perturbative 3d Lorentzian quantum gravity
TLDR
The phase structure of the Wick-rotated path integral in three dimensions with the aid of computer simulations is investigated, finding a whole range of the gravitational coupling constant k{sub 0} for which the functional integral is dominated by nondegenerate three-dimensional space-times.
Nonperturbative quantum gravity
Abstract Asymptotic safety describes a scenario in which general relativity can be quantized as a conventional field theory, despite being nonrenormalizable when expanding it around a fixed
CDT Quantum Toroidal Spacetimes: An Overview
Lattice formulations of gravity can be used to study non-perturbative aspects of quantum gravity. Causal Dynamical Triangulations (CDT) is a lattice model of gravity that has been used in this way.
Lorentzian and Euclidean Quantum Gravity - Analytical and Numerical Results
We review some recent attempts to extract information about the nature of quantum gravity, with and without matter, by quantum field theoretical methods. More specifically, we work within a covariant
Crossing the c=1 barrier in 2d Lorentzian quantum gravity
TLDR
Analysis of a system of eight Ising models coupled to dynamically triangulated Lorentzian geometries provides evidence for the conjecture that the KPZ values of the critical exponents in 2d Euclidean quantum gravity are entirely due to the presence of baby universes.
Dynamically Triangulating Lorentzian Quantum Gravity
Fruitful ideas on how to quantize gravity are few and far between. In this paper, we give a complete description of a recently introduced non-perturbative gravitational path integral whose continuum
Introducing quantum Ricci curvature
Motivated by the search for geometric observables in nonperturbative quantum gravity, we define a notion of coarse-grained Ricci curvature. It is based on a particular way of extracting the local
Discrete Approaches to Quantum Gravity in Four Dimensions
  • R. Loll
  • Physics, Biology
    Living reviews in relativity
  • 1998
TLDR
Three major areas of research are reviewed: gauge-theoretic approaches, both in a path-integral and a Hamiltonian formulation; quantum Regge calculus; and the method of dynamical triangulations, confining attention to work that is strictly four-dimensional, strictly discrete, and strictly quantum in nature.
Shaken, but not stirred—Potts model coupled to quantum gravity
Abstract We investigate the critical behaviour of both matter and geometry of the three-state Potts model coupled to two-dimensional Lorentzian quantum gravity in the framework of causal dynamical
...
1
2
3
4
5
...