# Thermal correlators
The thermal two-point function is evaluated on $S^{d-1}\times S^1$, which makes it more highly non-trivial, unlike the two-point function on $S^d$. Holographically, evaluating the thermal two-point function is an interesting question, and it sheds light on the connection with singularities in the bulk.
## One-point function and bulk probe
Holographically, the proper time from the horizon to singularity can be extracted from thermal expectation values of certain operators outside the horizon if the gravity theory has fields that couple to higher curvature terms.
## Refs
- thermal one-point function and holography
- [[2020#Grinberg, Maldacena]]
- [[2022#Berenstein, Mancilla]]
- [[2022#David, Kumar]]
- using [[0521 KMS condition|KMS condition]] to compute thermal two-point function
- [[2025#Buric, Gusev, Parnachev (May)]]
- [[2025#Buric, Gusev, Parnachev (Aug)]]
## Related topics
- [[0103 Two-point functions]]