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Continuum limit and recovery of low‑energy gravity in discrete approaches

Construct the continuum limit of discrete quantum gravity approaches such as causal set theory and causal dynamical triangulations, and demonstrate recovery of low‑energy physics including graviton excitations and gravitational‑wave propagation.

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Background

The third panel discussed whether spacetime is fundamental or emergent and the status of discrete approaches. A key difficulty is connecting discrete formulations to continuum physics and recovering standard low‑energy gravitational degrees of freedom.

Specific concerns included recovering gravitons and gravitational‑wave propagation and, more generally, achieving a controlled continuum limit in causal set theory and related frameworks.

References

An important question that appeared to be still unanswered in discrete approaches, but also in theories where spacetime is fundamental but the mathematical methods rely on discretization (e.g., \ac{CDT}), is how to recover a continuum spacetime description and establish a connection with the low-energy regime. For example, it is unclear how to recover the notion of a graviton and the propagation of \acp{GW} in the appropriate classical limit. Dowker added that at least in \ac{CST} it should be possible to make contact with the standard low-energy \ac{EFT} description but it is not yet clear how to take the continuum limit.

Visions in Quantum Gravity (2412.08696 - Buoninfante et al., 11 Dec 2024) in Panel 3 (Subsection "Features and principles of Quantum Gravity: degrees of freedom, non‑locality, non‑commutativity")