Topological surprises in de Sitter QFT in two-dimensions

Abstract

Motivated by the study of soluble models of quantum field theory, we illustrate a new type of topological effect by comparing the constructions of canonical Klein-Gordon quantum fields on the two-dimensional de Sitter spacetime as opposed to its double covering. We show that the while commutators of the two fields coincide locally, the global topological differences make the theories drastically different. Many of the well-known features of de Sitter quantum field theory disappear. In particular there is nothing like a Bunch-Davies vacuum. Correspondingly, even though the local horizon structure is the same for the two universes there is no Hawking - Gibbons thermal state. Finally, there is no complementary series of fields.

References in corpus (27)

• De Sitter Space and Eternity
• Stochastic Quantum Gravitational Inflation
• Two-point Functions and Quantum Fields in de Sitter Universe
• Decay of Vacuum Energy
• Non-Equilibrium Evolution of Scalar Fields in FRW Cosmologies I
• Breakdown of Semiclassical Methods in de Sitter Space
• Infrared Sensitivity of Unstable Vacua
• Lecture notes on interacting quantum fields in de Sitter space
• On the Equivalence between Euclidean and In-In Formalisms in de Sitter QFT
• Analyticity properties and thermal effects for general quantum field theory on de Sitter space-time
• Nonperturbative resummation of de Sitter infrared logarithms in the large-N limit
• An effective field theory during inflation II: stochastic dynamics and power spectrum suppression
• Scalar field correlator in de Sitter space at next-to-leading order in a 1/N expansion
• Perturbative S-matrix for massive scalar fields in global de Sitter space
• A Completely Regular Quantum Stress Tensor with $w<-1$
• Infrared dynamics of the massive ${\varphi }^4$ theory on de Sitter space
• IR divergences and kinetic equation in de Sitter space. (Poincare patch; Principal series)
• Infrared dynamics of massive scalars from the complementary series in de Sitter space
• Effective Field Theory out of Equilibrium: Brownian quantum fields
• de Sitter tachyons and related topics
• Nonperturbative renormalization group for scalar fields in de Sitter space: beyond the local potential approximation
• Solution of the Dyson--Schwinger equation on de Sitter background in IR limit
• Decay of the de Sitter Vacuum
• Physical meaning and consequences of the loop IR divergences in global dS
• Superhorizon entanglement entropy from particle decay in inflation
• Comparative study of loop contributions in AdS and dS
• A note on canonical quantization of fields on a manifold

Cited by in corpus (5)

• Charged Quantum Fields in AdS${}_2$
• An invitation to the principal series
• Hartle-Hawking boundary conditions as Nucleation by de Sitter Vacuum
• Automorphic scalar fields in two-dimensional de Sitter space
• QFT and topology in two dimensions: $SL(2,\mathbb{R})$-symmetry and the de Sitter universe