Physical scale adiabatic regularization in cosmological spacetimes
arXiv:2311.08986 · doi:10.1103/PhysRevD.109.045015
Abstract
We develop a new regularization method for the stress-energy tensor and the two-point function of free quantum scalar fields propagating in cosmological spacetimes. We proceed by extending the adiabatic regularization scheme with the introduction of two additional mass scales. By setting them to the order of the physical scale of the studied scenario, we obtain ultraviolet-regularized quantities that do not distort the power spectra amplitude at the infrared scales amplified by the expansion of the universe. This is not ensured by the standard adiabatic approach. We also show how our proposed subtraction terms can be interpreted as a renormalization of coupling constants in the Einstein equations. We finally illustrate our proposed regularization method in two scenarios of cosmological interest: de Sitter inflation and geometric reheating.
It matches published version in PRD. 22 pages + references, 5 figures
References in corpus (54)
- Towards the Theory of Reheating After Inflation
- Reheating after Inflation
- BICEP / Keck XIII: Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season
- Structure of Resonance in Preheating after Inflation
- Production of Massive Fermions at Preheating and Leptogenesis
- Preheating of Fermions
- Preheating with Trilinear Interactions: Tachyonic Resonance
- Quantum fields in curved spacetime
- On the Theory of Fermionic Preheating
- Cosmological Particle Production: A Review
- Running vacuum against the and tensions
- The Cosmological Constant Problem and Running Vacuum in the Expanding Universe
- Geometric Reheating after Inflation
- Energy-Momentum Tensor of Particles Created in an Expanding Universe
- Running vacuum in quantum field theory in curved spacetime: renormalizing without terms
- Resonant particle production with non-minimally coupled scalar fields in preheating after inflation
- Loops in inflationary correlation functions
- Adiabatic regularization and particle creation for spin one-half fields
- Perturbative Quantum Gravity Comes of Age
- Adiabatic regularization for spin-1/2 fields
- Running vacuum in the Universe: phenomenological status in light of the latest observations, and its impact on the and tensions
- Preferred instantaneous vacuum for linear scalar fields in cosmological space-times
- Despicable Dark Relics: generated by gravity with unconstrained masses
- Renormalized stress-energy tensor for spin-1/2 fields in expanding universes
- Preheating with non-minimally coupled scalar fields in higher-curvature inflation models
- Dark matter from gravitational particle production at reheating
- Revising the predictions of inflation for the cosmic microwave background anisotropies
- Equation of state of the running vacuum
- On Adiabatic Renormalization of Inflationary Perturbations
- On infrared and ultraviolet divergences of cosmological perturbations
- Gravitational production of scalar dark matter
- Revising the observable consequences of slow-roll inflation
- The Power Spectrum in de Sitter Inflation, Revisited
- Running vacuum in QFT in FLRW spacetime: The dynamics of from the quantized matter fields
- Adiabatic expansions for Dirac fields, renormalization, and anomalies
- Equivalence of Adiabatic and DeWitt-Schwinger renormalization schemes
- Dark matter production via a non-minimal coupling to gravity
- The Impact of Ultraviolet Regularization on the Spectrum of Curvature Perturbations During Inflation
- Pair creation in electric fields, anomalies, and renormalization of the electric current
- On the power spectrum generated during inflation
- Role of gravity in the pair creation induced by electric fields
- Remarks on the renormalization of primordial cosmological perturbations
- Gravitational reheating and superheavy Dark Matter creation after inflation with non-minimal coupling
- Renormalization of the inflationary perturbations revisited
- Running couplings from adiabatic regularization
- Study of the preheating phase of chaotic inflation
- Adiabatic regularization with a Yukawa interaction
- Adiabatic regularization for Dirac fields in time-varying electric backgrounds
- Note on the pragmatic mode-sum regularization method: translational-splitting in a cosmological background
- Anomaly-Induced Effective Action and Inflation
- Equivalence of the adiabatic expansion and Hadamard renormalization for a charged scalar field
- Ultraviolet-regularized power spectrum without infrared distortions in cosmological spacetimes
- On the adiabatic subtraction of cosmological perturbations
- Quantum Particle Production Effects on Cosmic Expansion