TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.18.1.029
TI  - Quantum information and the C-theorem in de Sitter
PY  - 2025/01/22
UR  - https://www.scipost.org/SciPostPhys.18.1.029
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 18
IS  - 1
SP  - 029
A1  - Abate, Nicolás
AU  - Torroba, Gonzalo
AB  - Information-theoretic methods have led to significant advances in nonperturbative quantum field theory in flat space. In this work, we show that these ideas can be generalized to field theories in a fixed de Sitter space. Focusing on 1+1-dimensional field theories, we derive a boosted strong subadditivity inequality in de Sitter, and show that it implies a C-theorem for renormalization group flows. Additionally, using the relative entropy, we establish a Lorentzian bound on the entanglement and thermal entropies for a field theory inside the static patch. Finally, we discuss possible connections with recent developments using unitarity methods.
ER  -

@Article{10.21468/SciPostPhys.18.1.029,
	title={{Quantum information and the C-theorem in de Sitter}},
	author={Nicolás Abate and Gonzalo Torroba},
	journal={SciPost Phys.},
	volume={18},
	pages={029},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.18.1.029},
	url={https://scipost.org/10.21468/SciPostPhys.18.1.029},
}