The Fate of the Alpha-Vacuum

Abstract

de Sitter space-time has a one complex parameter family of invariant vacua for the theory of a free, massive scalar field. For most of these vacua, in an interacting scalar theory the one loop corrections diverge linearly for large values of the loop momentum. These divergences are not of a form that can be removed by a de Sitter invariant counterterm, except in the case of the Euclidean, or Bunch-Davies, vacuum.

15 pages, 6 figures, uses ReVTeX, minor corrections to the time evolution

References in corpus (20)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Inflation
• A note on inflation and transplanckian physics
• Conformal Vacua and Entropy in de Sitter Space
• Inflation as a Probe of Short Distance Physics
• A generic estimate of trans-Planckian modifications to the primordial power spectrum in inflation
• Perturbation spectrum in inflation with cutoff
• Mode Generating Mechanism in Inflation with Cutoff
• On the Dependence of the Spectra of Fluctuations in Inflationary Cosmology on Trans-Planckian Physics
• Imprints of Short Distance Physics On Inflationary Cosmology
• Initial Conditions for Inflation
• Interacting Quantum Field Theory in de Sitter Vacua
• On the consistency of de Sitter vacua
• de Sitter Vacua, Renormalization and Locality
• Is there an imprint of Planck scale physics on inflationary cosmology?
• A note on alpha-vacua and interacting field theory in de Sitter space
• Squeezed States in the de Sitter Vacuum
• Initial state effects on the cosmic microwave background and trans-planckian physics
• Dynamical Renormalization Group Approach to Quantum Kinetics in Scalar and Gauge Theories

Cited by in corpus (43)

• Quantum Gravity in Everyday Life: General Relativity as an Effective Field Theory
• Enhanced Non-Gaussianity from Excited Initial States
• Inflation after WMAP3: Confronting the Slow-Roll and Exact Power Spectra with CMB Data
• On the one loop corrections to inflation and the CMB anisotropies
• Superimposed Oscillations in the WMAP Data?
• Inflation with General Initial Conditions for Scalar Perturbations
• Effective Field Theories and Inflation
• Exploring the Superimposed Oscillations Parameter Space
• Short distance and initial state effects in inflation: stress tensor and decoherence
• Decoupling in an expanding universe: boundary RG-flow affects initial conditions for inflation
• Primeval Corrections to the CMB Anisotropies
• Entanglement entropy of $\alpha$-vacua in de Sitter space
• Accelerating Universes and String Theory
• Alpha-states in de Sitter space
• The Källén-Lehmann representation in de Sitter spacetime
• Renormalization of initial conditions and the trans-Planckian problem of inflation
• Scalar field instability in de Sitter space-time
• Inflationary Perturbations from Deformed CFT
• Real-Time Perturbation Theory in de Sitter Space
• Aspects of Quantum Gravity in de Sitter Spaces
• Taming the alpha-vacuum
• Loop contributions to the scalar power spectrum due to quartic order action in ultra slow roll inflation
• Holographic bounds on the UV cutoff scale in inflationary cosmology
• Pre-slow roll initial conditions: large scale power suppression and infrared aspects during inflation
• COSMOS-$e^{\prime }$-GTachyon from String Theory
• On Thermalization in de Sitter Space
• Time-dependent spacetimes in AdS/CFT: Bubble and black hole
• Tensor to scalar ratio and large scale power suppression from pre-slow roll initial conditions
• The renormalization of the energy-momentum tensor for an effective initial state
• Black Hole and Cosmological Particle Production in Schwarzschild de Sitter
• Fermionic alpha-vacua
• The enhancement of inflaton loops in an alpha-vacuum
• Nonthermal acceleration radiation of atoms near a black hole in presence of dark energy
• Decoupling, Trans-Planckia and Inflation
• Non-minimal scalar fields in 2D de Sitter and dilaton black holes
• Rapid numerical solutions for the Mukhanov-Sasaki equation
• Trans-Planckian signals from the breaking of local Lorentz invariance
• Alpha-Vacua, Black Holes, and AdS/CFT
• Vacuum Ambiguity in de Sitter Space at Strong Coupling
• Inflaton Decay in an Alpha Vacuum
• Quantum Fisher information of a cosmic qubit undergoing non-Markovian de Sitter evolution
• Vacuum arbitrariness and the Hubble tension
• Time-dependent Backgrounds in String Theory and Dualities