For quadratic inflaton potentials Boltzmann and Bogoliubov spectra agree at short wavelengths, but for steeper potentials non-adiabatic transition effects captured only by Bogoliubov are sizable across a broad momentum range.
Factorization and polarization in linearized gravity
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abstract
We investigate all the four-body graviton interaction processes: $gX\rightarrow \gamma X$, $gX\rightarrow gX$, and $gg\rightarrow gg$ with $X$ as an elementary particle of spin less than two in the context of linearized gravity except the spin-3/2 case. We show explicitly that gravitational gauge invariance and Lorentz invariance cause every four-body graviton scattering amplitude to be factorized. We explore the implications of this factorization property by investigating polarization effects through the covariant density matrix formalism in each four-body graviton scattering process.
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Perturbative inflaton decay emits an irreducible stochastic GW background with Ω_GW ∝ f spectrum whose amplitude is set by the hard decay rate and reaches O(10^{-17}) at GHz scales.
Lecture notes that build the BMS group from prerequisites to applications in soft theorems, memory effects, and new material on asymptotic conformal Killing horizons.
citing papers explorer
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Graviton Production from Inflaton Condensate: Boltzmann vs Bogoliubov
For quadratic inflaton potentials Boltzmann and Bogoliubov spectra agree at short wavelengths, but for steeper potentials non-adiabatic transition effects captured only by Bogoliubov are sizable across a broad momentum range.
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Irreducible Graviton Floor from Reheating
Perturbative inflaton decay emits an irreducible stochastic GW background with Ω_GW ∝ f spectrum whose amplitude is set by the hard decay rate and reaches O(10^{-17}) at GHz scales.
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Lectures on the Bondi--Metzner--Sachs group and related topics in infrared physics
Lecture notes that build the BMS group from prerequisites to applications in soft theorems, memory effects, and new material on asymptotic conformal Killing horizons.