Analyticity properties and thermal effects for general quantum field theory on de Sitter space-time

Abstract

We propose a general framework for quantum field theory on the de Sitter space-time (i.e. for local field theories whose truncated Wightman functions are not required to vanish). By requiring that the fields satisfy a weak spectral condition, formulated in terms of the analytic continuation properties of their Wightman functions, we show that a geodesical observer will detect in the corresponding ``vacuum'' a blackbody radiation at temperature T=1/(2 πR). We also prove the analogues of the PCT, Reeh-Schlieder and Bisognano-Wichmann theorems.

32 pages, Latex. To appear on Commun. Math. Phys

Cited by in corpus (59)

• Microlocal Analysis and Interacting Quantum Field Theories: Renormalization on Physical Backgrounds
• A holographic reduction of Minkowski space-time
• Interacting Quantum Field Theory in de Sitter Vacua
• Massless interacting quantum fields in deSitter spacetime
• Microlocal analysis of quantum fields on curved spacetimes: Analytic wavefront sets and Reeh-Schlieder theorems
• Lifetime of a massive particle in a de Sitter universe
• Characters of different secular effects in various patches of de Sitter space
• Triangular invariants, three-point functions and particle stability on the de Sitter universe
• Particle decays and stability on the de Sitter universe
• Special Relativity in the 21${}^{\mathrm{st}}$ century
• Infrared dynamics of massive scalars from the complementary series in de Sitter space
• Alpha-states in de Sitter space
• The Källén-Lehmann representation in de Sitter spacetime
• de Sitter tachyons and related topics
• Towards a General Theory of Quantized Fields on the Anti-de Sitter Space-Time
• Charged sectors, spin and statistics in quantum field theory on curved spacetimes
• Aspects of Quantum Gravity in de Sitter Spaces
• A note on the representations of $\text{SO}(1,d+1)$
• Global Properties of Vacuum States in de Sitter Space
• The asymptotic symmetry of de Sitter spacetime
• KMS, etc
• Conservation laws and scattering for de Sitter classical particles
• Time-dependent spacetimes in AdS/CFT: Bubble and black hole
• Covariant and quasi-covariant quantum dynamics in Robertson-Walker space-times
• Decomposing Quantum Fields on Branes
• The nature of $\Lambda$ and the mass of the graviton: A critical view
• The Reeh-Schlieder property for thermal field theories
• Quantum Theory on Lobatchevski Spaces
• A Converse Hawking-Unruh Effect and dS^2/CFT Correspondance
• Quantum instability for charged scalar particles on charged Nariai and ultracold black hole manifolds
• Topological surprises in de Sitter QFT in two-dimensions
• On cosmic hair and "de Sitter breaking" in linearized quantum gravity
• Ultraviolet phenomena in AdS self-interacting quantum field theory
• Quasi-normal Modes in de Sitter Space: Plane Wave Method
• Modular Hamiltonian for de Sitter diamonds
• Stochastic Quantization of Scalar Fields in de Sitter Spacetime
• Krein Spaces in de Sitter Quantum Theories
• Isometry invariance of exact correlation functions in various charts of Minkowski and de Sitter spaces
• Correlators, Feynman diagrams, and quantum no-hair in deSitter spacetime
• Relative Entropy in de Sitter is a Noether Charge
• Asymptotic states and $S$-matrix operator in de Sitter ambient space formalism
• Correspondence between Minkowski and de Sitter Quantum Field Theory
• "Massive" Rarita-Schwinger field in de Sitter space
• Geometric Modular Action and Spacetime Symmetry Groups
• Covariant Quantization of the Partially Massless Graviton Field in de Sitter Spacetime
• QFT and topology in two dimensions: $SL(2,\mathbb{R})$-symmetry and the de Sitter universe
• Propagators in curved spacetimes from operator theory
• Complex velocity transformations and the Bisognano--Wichmann theorem for quantum fields acting on Krein spaces
• Quantum information and the C-theorem in de Sitter
• Towards a CPT Invariant Quantum Field Theory on Elliptic de Sitter Space
• An indefinite metric model for interacting quantum fields with non-stationary background gravitation
• Vacua in locally de Sitter cosmologies, and how to distinguish them
• RG flows in de Sitter: c-functions and sum rules
• Quadratic gravity potentials in de Sitter spacetime from Feynman diagrams
• Wavepackets on de Sitter spacetime
• Current trends in axiomatic quantum field theory
• De Sitter scattering amplitudes in the Born approximation
• de Sitter symmetry of Neveu-Schwarz spinors
• Conserved quantities for the Sitter particles${}^{\ast }$