Quantum corrections to the primordial tensor spectrum: Open EFTs & Markovian decoupling of UV modes

Abstract

Perturbative quantum corrections to primordial power spectra are important for testing the robustness and the regime of validity of inflation as an effective field theory. Although this has been done extensively for the density power spectrum (and, to some extent, for the tensor spectrum) using loop corrections, we do so in an open quantum system approach to the problem. Specifically, we calculate the first order corrections to the primordial gravitational wave spectrum due to (cubic) tensor interactions alone. We show that our results match expectations from standard loop corrections only in the strict Markovian limit, and therefore, establish a systematic way to relax this approximation in the future, as is generally necessary for gravitational systems.

33 pages, comments welcome

References in corpus (20)

• The Effective Field Theory of Inflation
• Quantum Contributions to Cosmological Correlations II: Can These Corrections Become Large?
• On the one loop corrections to inflation and the CMB anisotropies
• Semiclassical relations and IR effects in de Sitter and slow-roll space-times
• The "in-in" Formalism and Cosmological Perturbations
• One-loop gravitational wave spectrum in de Sitter spacetime
• The Zeta-Zeta Correlator Is Time Dependent
• Power spectrum of primordial perturbations during ultra-slow-roll inflation with back reaction effects
• Inflationary Infrared Divergences: Geometry of the Reheating Surface vs. delta N Formalism
• Hot Accelerated Qubits: Decoherence, Thermalization, Secular Growth and Reliable Late-time Predictions
• Heisenberg-Langevin vs. quantum master equation
• Path Integral for Inflationary Perturbations
• Universal signature of quantum entanglement across cosmological distances
• Hot Cosmic Qubits: Late-Time de Sitter Evolution and Critical Slowing Down
• Quantum non-linear evolution of inflationary tensor perturbations
• Cosmological Trans-Planckian Conjectures are not Effective
• Graviton Self-Energy from Gravitons in Cosmology
• Limitations of an Effective Field Theory Treatment of Early Universe Cosmology
• Dynamical Response of an Unruh-DeWitt Detector in a Quantum Field over the History of the Universe
• Entanglement entropy of cosmological perturbations for S-brane Ekpyrosis

Cited by in corpus (23)

• The Open Effective Field Theory of Inflation
• Universal signature of quantum entanglement across cosmological distances
• Cosmic Purity Lost: Perturbative and Resummed Late-Time Inflationary Decoherence
• Decoherence out of fire: Purity loss in expanding and contracting universes
• Non-equilibrium dynamics of Axion-like particles: the quantum master equation
• The Early Universe as an Open Quantum System: Complexity and Decoherence
• On the Decoherence of Primordial Gravitons
• Quantum entanglement in cosmology
• Entanglement and Expansion
• In-in formalism for the entropy of quantum fields in curved spacetimes
• Dilaton-induced open quantum dynamics
• An Open Effective Field Theory for light in a medium
• Real-space quantum-to-classical transition of time dependent background fluctuations
• Resurgence of a de Sitter Glauber-Sudarshan State: Nodal Diagrams and Borel Resummation
• Classifying the non-time-local and entangling dynamics of an open qubit system
• Entanglement in Cosmology
• Density matrix formalism for interacting quantum fields
• The effect of quantum decoherence on inflationary gravitational waves
• What if string theory has a de Sitter excited state?
• Quantum Fisher information of a cosmic qubit undergoing non-Markovian de Sitter evolution
• Testing quantum gravity with primordial gravitational waves
• Probing the self-coherence of primordial quantum fluctuations with complexity
• Dynamics of potential-free warm $\mathbf{k}$-inflation with nonminimal derivative coupling