Comparing geometric and gravitational particle production in Jordan and Einstein frames

Abstract

We explore cosmological particle production associated with inflationary fluctuations by comparing gravitational and geometric mechanisms, within a non-minimal Yukawa-like coupling between a inflaton and spacetime curvature. We show under which circumstances the number of geometric particles is comparable to the purely gravitational contribution by introducing the S-matrix formalism and approximating the inflationary potentials through power series. Despite the geometric production is a second-order effect, we show that it cannot be neglected \emph{a priori}, emphasizing that throughout inflation we do expect geometric particles to form as well as in the reheating phase. This result is investigated in both the Jordan and Einstein frames, selecting inflationary potentials supported by the Planck Satellite outcomes, \textit{i.e.}, the Starobinsky, hilltop, $\alpha$-attractor, and natural inflationary paradigms. We notice that, for large field approaches, the only feasible coupling may occur in case of extremely small field-curvature coupling constants, while the small field frameworks, namely the hilltop and $\alpha$-attractor models with quartic behavior, are essentially ruled out since they do not appear dynamically viable. We then point out that, while dynamically there exists a net equivalence between the Jordan and Einstein frames, the number of particles appears quite different passing from a representation to another one, thus pointing out the existence of a possible \emph{quantum frame issue}. In summary, while the classical inflationary dynamics is equivalently described in the Jordan and Einstein frames, a viable physical description of particle production valid in both the frames may be hindered by the absence of a complete quantum gravity. The latter could therefore be seen as missing puzzle to address the longstanding challenge of consistently passing between the two frames.

arXiv comment27 pages, 8 figures, 4 tables

References in corpus (94)

• Planck 2018 results. X. Constraints on inflation
• Towards the Theory of Reheating After Inflation
• Particle Physics Models of Inflation and the Cosmological Density Perturbation
• Hybrid Inflation
• False Vacuum Inflation with Einstein Gravity
• Inflation Dynamics and Reheating
• Brane Inflation
• Warm Inflation
• Universality Class in Conformal Inflation
• Formalising the Slow-Roll Approximation in Inflation
• Natural Inflation: Particle Physics Models, Power Law Spectra for Large Scale Structure, and Constraints from COBE
• Reheating in Inflationary Cosmology: Theory and Applications
• Superheavy dark matter
• Minimal Supergravity Models of Inflation
• Hilltop Inflation
• Preheating in the Standard Model with the Higgs-Inflaton coupled to gravity
• Hybrid Inflation in Supergravity
• On Inflation with Non-minimal Coupling
• Asymptotic freedom in inflationary cosmology with a non-minimally coupled Higgs field
• Reheating predictions in single field inflation
• Inflation and de Sitter Thermodynamics
• The (pseudo)issue of the conformal frame revisited
• The Effective Field Theory of Multifield Inflation
• On the gravitational production of superheavy dark matter
• Gravitino Production After Inflation
• Recent Advances on Inflation
• Complete constraints on a nonminimally coupled chaotic inflationary scenario from the cosmic microwave background
• Higgs inflation
• Question of quantum equivalence between Jordan frame and Einstein frame
• Comments on the Starobinsky Model of Inflation and its Descendants
• Entanglement in an expanding spacetime
• Equivalence of the Einstein and Jordan frames
• Production of Purely Gravitational Dark Matter: The Case of Fermion and Vector Boson
• Gravitational Particle Production in Oscillating Background and Its Cosmological Implications
• Einstein and Jordan frames reconciled: a frame-invariant approach to scalar-tensor cosmology
• Spinors, Inflation, and Non-Singular Cyclic Cosmologies
• Observational consequences of chaotic inflation with nonminimal coupling to gravity
• Entanglement of Dirac fields in an expanding spacetime
• Physical non-equivalence of the Jordan and Einstein frames
• Speeding up the universe using dust with pressure
• Cosmological Particle Production: A Review
• Constraints on α-attractor inflation and reheating
• Density perturbations in generalized Einstein scenarios and constraints on nonminimal couplings from the Cosmic Microwave Background
• Some aspects of the cosmological conformal equivalence between ``Jordan Frame'' and ``Einstein Frame''
• Calculations of Inflaton Decays and Reheating: with Applications to No-Scale Inflation Models
• Cosmological quantum entanglement
• Dark spinor inflation -- theory primer and dynamics
• Frame-dependence of higher-order inflationary observables in scalar-tensor theories
• Reconciliation of High Energy Scale Models of Inflation with Planck
• Initial state effects on the cosmic microwave background and trans-planckian physics
• Baryogenesis During Reheating in Natural Inflation and Comments on Spontaneous Baryogenesis
• Gravitational Fermion Production in Inflationary Cosmology
• Healing the cosmological constant problem during inflation through a unified quasi-quintessence matter field
• Cosmic acceleration, scalar fields and observations
• Measuring spacetime: from big bang to black holes
• Inflation and Braneworlds
• Cosmological applications of loop quantum gravity
• Lectures on the Theory of Cosmological Perturbations
• The Accelerating Universe and Dark Energy: Evidence from Type Ia Supernovae
• Electroweak baryogenesis and primordial hypermagnetic fields
• Cosmological consequences of particle creation during inflation
• Inflationary Cosmology: From Theory to Observations
• Thermodynamical correspondence of $f(R)$ gravity in Jordan and Einstein frames
• Reheating phase diagram for single-field slow-roll inflationary models
• A question mark on the equivalence of Einstein and Jordan frames
• Reconstruction of scalar field theories realizing inflation consistent with the Planck and BICEP2 results
• Superheavy scalar dark matter from gravitational particle production in $\alpha$-attractor models of inflation
• Characterizing repulsive gravity with curvature eigenvalues
• Alleviating the cosmological constant problem from particle production
• Non-adiabatic cosmological production of ultra-light Dark Matter
• Universal Correction to the Inflationary Vacuum
• The Conformal Transformation in General Single Field Inflation with Non-Minimal Coupling
• Preheating of the nonminimally coupled inflaton field
• Quantum field theory in de Sitter and quasi-de Sitter spacetimes: Revisited
• Spin-Particles Entanglement in Robertson-Walker Spacetime
• On Thermalization in de Sitter Space
• Progress in Higgs inflation
• Distinguishing Jordan and Einstein frames in gravity through entanglement
• Inflationary entanglement
• Correspondence between Jordan-Einstein frames and Palatini-metric formalisms
• Cosmological dark energy effects from entanglement
• Quantum Cosmic No-Hair Theorem and Inflation
• Relaxing inflation models with non-minimal coupling: A general study
• Slow-Roll Inflation in the Jordan Frame
• Fermion production from preheating-amplified metric perturbations
• Superhorizon entanglement from inflationary particle production
• Production of ultralight dark matter from inflationary spectator fields
• On the origin of entropy of gravitationally produced dark matter: the entanglement entropy
• Violation of slow-roll in non-minimal inflation
• The role of spin in entanglement generated by expanding spacetime
• Spacetime anisotropy affects cosmological entanglement
• Entanglement in anisotropic expanding spacetime
• Choice of vacuum state and the relation between inflationary and Planck scales
• Geometrothermodynamic cosmology

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