# Moscow International School of Physics 2020

3-9 March 2020
HSE Study Center “Voronovo”
Europe/Moscow timezone

## Notes on quantum fields in Static patch of de Sitter space

5 Mar 2020, 20:00
2h
HSE Study Center “Voronovo”

#### HSE Study Center “Voronovo”

Voronovskoe, Moscow Russian Federation
Board: 5
Poster [portrait A1 or landscape A0] Young Scientist Forum

### Speaker

Kirill Bazarov (MIPT)

### Description

We show the explicit mode expansion of tree-level propagators in Static (or Compact) Patch of de Sitter space. We construct propagator for thermal state corresponding to arbitrary temperature $T$. We show that the propagator that respects the de Sitter isometry corresponds to the thermal state with $T = (2 \pi)^{-1}$ in the units of de Sitter curvature. Which confirms the old and well known result, making it a bit more explicit. Propagators with $T\ne(2\pi)^{-1}$ do not respect the isometry. Moreover, we show that propagators with $T \neq (2 \pi)^{-1}$ have extra singularities on the boundary of the Static Patch, as opposed to the case of $T = (2 \pi)^{-1}$. We discuss physical meaning of these observations.
We also discuss loop corrections to the propagators in the Static patch and their physical meaning both for $T = (2 \pi)^{-1}$ and $T \neq (2 \pi)^{-1}$.

### Primary author

Kirill Bazarov (MIPT)

### Presentation Materials

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