Quantum information and the C-theorem in de Sitter

Abstract

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.

v2. Comments added and typos corrected

References in corpus (5)

• Towards a derivation of holographic entanglement entropy
• The g-theorem and quantum information theory
• Area terms in entanglement entropy
• Entanglement entropy, planar surfaces, and spectral functions
• Irreversibility of quantum field theory in de Sitter: the C, F and A theorems

Cited by in corpus (1)

• A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory