An oscillating homogeneous SU(2) condensate indirectly induces parametric resonance in U(1) helicity modes via a pseudoscalar mediator, producing a Hill equation that reduces to Mathieu form with derived resonance conditions and a non-chiral property in the periodic limit.
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Universe Reheating after Inflation
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abstract
We study the problem of scalar particle production after inflation by a rapidly oscillating inflaton field. We use the framework of the chaotic inflation scenario with quartic and quadratic inflaton potentials. Particular attention is paid to parametric resonance phenomena which take place in the presence of the quickly oscillating inflaton field. We have found that in the region of applicability of perturbation theory the effects of parametric resonance are crucial, and estimates based on first order Born approximation often underestimate the particle production. In the case of the quartic inflaton potential $V(\varphi) = \lambda \varphi^4$, the particle production process is very efficient even for small values of coupling constants. The reheating temperature of the universe in this case is $\left[\lambda\, \log\, (1/\lambda) \right]^{- 1}$ times larger than the corresponding estimates based on first order Born approximation. In the case of the quadratic inflaton potential the reheating process depends crucially on the type of coupling between the inflaton and the other scalar field and on the magnitudes of the coupling constants. If the inflaton coupling to fermions and its linear (in inflaton field) coupling to scalar fields are suppressed, then, as previously discussed by Kofman, Linde and Starobinsky (see e.g. Ref. 13), the inflaton field will eventually decouple from the rest of the matter, and the residual inflaton oscillations may provide the (cold) dark matter of the universe. In the case of the quadratic inflaton potential we obtain the lowest and the highest possible bounds on the effective energy density of the inflaton field when it freezes out.
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In warm inflation with Υ∝T³, a residual inflaton condensate after rapid drop in Q evolves as cold dark matter with mass fixed at m≈0.02 MeV by the observed abundance.
Improved end-of-inflation dynamics shift the Starobinsky model's predicted spectral index n_s by up to 1.2×10^{-3} within the allowed reheating range.
Constructs an explicit closed FRW curvature-supported bounce-inflation model with a canonical scalar field that remains geodesically complete, NEC-compliant, and yields standard slow-roll predictions.
For n=2 inflaton potentials Boltzmann and Bogoliubov agree on short-wavelength gravitons; for n>2 the non-adiabatic transition dominates and requires the Bogoliubov formalism.
Axion-like particles in the trapped misalignment mechanism produce observable gravitational waves while generating intergalactic magnetic fields that exceed blazar lower bounds in the parameter space promising for gravitational wave detection.
Inflaton accretion during reheating drives non-linear PBH mass growth that extends lifetimes and amplifies emitted SGWB by multiple orders of magnitude.
Deformed alpha-attractor T-models with a Gaussian feature near the minimum yield more smaller shorter-lived oscillons during self-resonance preheating, suppressing energy in oscillons and altering the high-frequency gravitational wave tail while leaving low frequencies unchanged.
High-frequency primordial gravitational waves extend to higher frequencies due to post-inflation inflaton dynamics, and their detailed spectrum shape can distinguish inflation models.
Thermal bath corrections derived via thermofield dynamics enhance the evaporation rate of primordial black holes, shortening their lifetimes relative to zero-temperature calculations.
A spectator scalar in modulated reheating with large Higgs-like couplings generates detectable scalar-induced stochastic gravitational waves for BBO and DECIGO, but only outside perturbative low-energy extrapolations.
Lattice simulations show that the post-inflationary equation of state with trilinear interactions returns to zero after an initial deviation, substantially lowering stochastic gravitational wave amplitudes relative to prior estimates.
Resonant dilatonic coupling produces ultralight vector dark matter with relic mass scaling as m_γ' ∝ r_i^{-2} for subdominant spectators in radiation-dominated backgrounds.
Analytic approximations for fermion number density in λφ⁴ preheating scale as q^{1/2} for q ≲ 0.01 and q^{3/4} for q ≳ 10, with resonance peaks or half-filled Fermi spheres depending on the coupling.
A spectator scalar field with strong portal coupling to the inflaton sources a stochastic gravitational wave background reaching Ω_GW h² ∼ 10^{-11} at frequencies 10^7-10^8 Hz for benchmark parameters σ/λ ≃ 10^4 and T_reh = 2×10^{14} GeV.
Expanded Simons Observatory could measure reheating temperature and inflaton-gluon coupling to a few percent in QCD-driven warm inflation if r=0.01 primordial gravitational waves are found.
Thermal corrections to reheating and freeze-in DM production rates are generally small in the computable regime but can be large in constructed counter-examples.
In Gauss-Bonnet inflation with monomial potential and coupling, gravitational waves from preheating produce a present-day energy density spectrum consistent with Planck constraints when the coupling strength, equation of state, and efficiency are set to specific values.
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Indirect Parametric Resonance of the Electromagnetic Field Driven by an Oscillating SU(2) Dark Matter Condensate
An oscillating homogeneous SU(2) condensate indirectly induces parametric resonance in U(1) helicity modes via a pseudoscalar mediator, producing a Hill equation that reduces to Mathieu form with derived resonance conditions and a non-chiral property in the periodic limit.
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Dark Matter as an Inflationary Relic in Warm Inflation
In warm inflation with Υ∝T³, a residual inflaton condensate after rapid drop in Q evolves as cold dark matter with mass fixed at m≈0.02 MeV by the observed abundance.
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Precision Inflationary Predictions: Impact of Accurate End-of-Inflation Dynamics
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Geodesically Complete Curvature-Bounce Inflation
Constructs an explicit closed FRW curvature-supported bounce-inflation model with a canonical scalar field that remains geodesically complete, NEC-compliant, and yields standard slow-roll predictions.
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For n=2 inflaton potentials Boltzmann and Bogoliubov agree on short-wavelength gravitons; for n>2 the non-adiabatic transition dominates and requires the Bogoliubov formalism.
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Audible Axion Magnetogenesis: Linking Intergalactic Magnetic Fields and Gravitational Waves
Axion-like particles in the trapped misalignment mechanism produce observable gravitational waves while generating intergalactic magnetic fields that exceed blazar lower bounds in the parameter space promising for gravitational wave detection.
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Inflaton Accretion onto Primordial Black Holes During Reheating
Inflaton accretion during reheating drives non-linear PBH mass growth that extends lifetimes and amplifies emitted SGWB by multiple orders of magnitude.
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Self-resonance preheating in deformed attractor models: oscillon formation and evolution
Deformed alpha-attractor T-models with a Gaussian feature near the minimum yield more smaller shorter-lived oscillons during self-resonance preheating, suppressing energy in oscillons and altering the high-frequency gravitational wave tail while leaving low frequencies unchanged.
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High Frequency Spectrum of Primordial Gravitational Waves
High-frequency primordial gravitational waves extend to higher frequencies due to post-inflation inflaton dynamics, and their detailed spectrum shape can distinguish inflation models.
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Evaporation of Primordial Black Holes in a Thermal Universe: A Thermofield Dynamics Approach
Thermal bath corrections derived via thermofield dynamics enhance the evaporation rate of primordial black holes, shortening their lifetimes relative to zero-temperature calculations.
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Stochastic Gravitational Waves from Modulated Reheating
A spectator scalar in modulated reheating with large Higgs-like couplings generates detectable scalar-induced stochastic gravitational waves for BBO and DECIGO, but only outside perturbative low-energy extrapolations.
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Equation of state during (p)reheating with trilinear interactions
Lattice simulations show that the post-inflationary equation of state with trilinear interactions returns to zero after an initial deviation, substantially lowering stochastic gravitational wave amplitudes relative to prior estimates.
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Dilaton-Induced Resonant Production of Ultralight Vector Dark Matter
Resonant dilatonic coupling produces ultralight vector dark matter with relic mass scaling as m_γ' ∝ r_i^{-2} for subdominant spectators in radiation-dominated backgrounds.
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Analytic Approximations for Fermionic Preheating
Analytic approximations for fermion number density in λφ⁴ preheating scale as q^{1/2} for q ≲ 0.01 and q^{3/4} for q ≳ 10, with resonance peaks or half-filled Fermi spheres depending on the coupling.
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Gravitational Waves from Matter Perturbations of Spectator Scalar Fields
A spectator scalar field with strong portal coupling to the inflaton sources a stochastic gravitational wave background reaching Ω_GW h² ∼ 10^{-11} at frequencies 10^7-10^8 Hz for benchmark parameters σ/λ ≃ 10^4 and T_reh = 2×10^{14} GeV.
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Observing Cosmic Reheating with the expanded Simons Observatory
Expanded Simons Observatory could measure reheating temperature and inflaton-gluon coupling to a few percent in QCD-driven warm inflation if r=0.01 primordial gravitational waves are found.
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Thermal effects on Dark Matter production during cosmic reheating
Thermal corrections to reheating and freeze-in DM production rates are generally small in the computable regime but can be large in constructed counter-examples.
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Gravitational waves production during preheating within GB gravity with monomial coupling
In Gauss-Bonnet inflation with monomial potential and coupling, gravitational waves from preheating produce a present-day energy density spectrum consistent with Planck constraints when the coupling strength, equation of state, and efficiency are set to specific values.