Cosmological cutting rules for Bogoliubov initial states
arXiv:2407.06258 · doi:10.21468/SciPostPhys.18.1.005
Abstract
The field theoretic wavefunction in cosmological spacetimes has received much attention as a fundamental object underlying the generation of primordial perturbations in our universe. Assuming an initial Bunch-Davies state, unitary time evolution implies an infinite set of cutting rules for the wavefunction to all orders in perturbation theory, collectively known as the cosmological optical theorem. In this work, we generalise these results to the case of Bogoliubov initial states, accounting for both parity-even and parity-odd interactions. We confirm our findings in a few explicit examples, assuming IR-finite interactions. In these examples, we preserve scale invariance by adiabatically turning on interactions in the infinite past rather than imposing a Bogoliubov state at some finite initial time. Finally, we give a prescription for computing Bogoliubov wavefunction coefficients from the corresponding Bunch-Davies coefficients for both n-point contact and four-point exchange diagrams.
References in corpus (42)
- Non-Gaussian features of primordial fluctuations in single field inflationary models
- Planck 2018 results. X. Constraints on inflation
- Observational Signatures and Non-Gaussianities of General Single Field Inflation
- On graviton non-Gaussianities during inflation
- Conformal Vacua and Entropy in de Sitter Space
- Enhanced Non-Gaussianity from Excited Initial States
- Two-point Functions and Quantum Fields in de Sitter Universe
- A generic estimate of trans-Planckian modifications to the primordial power spectrum in inflation
- Signatures of Initial State Modifications on Bispectrum Statistics
- Robustness of the inflationary perturbation spectrum to trans-Planckian physics
- Non-gaussianities and the Stimulated creation of quanta in the inflationary universe
- The Cosmological Optical Theorem
- Analyticity and Unitarity for Cosmological Correlators
- Late-time Structure of the Bunch-Davies De Sitter Wavefunction
- Cosmological Cutting Rules
- On Signatures of Short Distance Physics in the Cosmic Microwave Background
- Conformal Invariance and the Four Point Scalar Correlator in Slow-Roll Inflation
- Building a Boostless Bootstrap for the Bispectrum
- Cutting Cosmological Correlators
- Calculating the local-type fNL for slow-roll inflation with a non-vacuum initial state
- From Locality and Unitarity to Cosmological Correlators
- Non-Vacuum Initial States for Cosmological Perturbations of Quantum-Mechanical Origin
- Probing P and CP Violations on the Cosmological Collider
- On Squeezed Limits in Single-Field Inflation - Part I
- Massless interacting quantum fields in deSitter spacetime
- Cosmological Polytopes and the Wavefunction of the Universe
- Inflation: Theory and Observations
- On the time evolution of cosmological correlators
- Unitarity Methods in AdS/CFT
- Trans-Planckian Particle Creation in Cosmology and Ultra-High Energy Cosmic Rays
- Parity violation in the scalar trispectrum: no-go theorems and yes-go examples
- Bootstrapping Large Graviton non-Gaussianities
- Amplitudes meet Cosmology: A (Scalar) Primer
- The graviton four-point function in de Sitter space
- Steinmann Relations and the Wavefunction of the Universe
- Graviton non-Gaussianities and Parity Violation in the EFT of Inflation
- The Open Effective Field Theory of Inflation
- Inflation in Motion: Unitarity Constraints in Effective Field Theories with Broken Lorentz Symmetry
- Cosmological Correlators Through the Looking Glass: Reality, Parity, and Factorisation
- Probing the initial state of inflation: analytical structure of cosmological correlators
- de Sitter at all loops: the story of the Schwinger model
- Mixed Graviton and Scalar Bispectra in the EFT of Inflation: Soft Limits and Boostless Bootstrap