Quantum-Corrected $ϕ^{4}$ Inflation in Light of ACT Observations
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| Format: | Preprint |
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2025
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| author | Yuennan, Jureeporn Koad, Peeravit Atamurotov, Farruh Channuie, Phongpichit |
| author_facet | Yuennan, Jureeporn Koad, Peeravit Atamurotov, Farruh Channuie, Phongpichit |
| contents | Recent measurements from the Atacama Cosmology Telescope (ACT), combined with Planck and DESI data, suggest a scalar spectral index $n_s$ higher than the Planck 2018 baseline, thereby placing conventional attractor-type inflationary models such as Starobinsky $R^2$ and Higgs inflation under increasing tension at the $\gtrsim 2σ$ level. In this work, we examine quantum-corrected $ϕ^4$ inflation with a non-minimal coupling to gravity. Introducing an anomalous scaling parameter $γ$ to capture quantum corrections to the effective potential, we derive analytic expressions for the inflationary observables $n_s$ and $r$. Confronting these predictions with ACT, Planck, and BAO+lensing constraints, we demonstrate that modest values of $γ$ can raise $n_s$ into the ACT-preferred range while maintaining a strongly suppressed tensor-to-scalar ratio. For instance, with $N=60$ and $γ\simeq 0.006$, the model predicts $n_s\simeq 0.974$ and $r\simeq 0.007$, in excellent agreement with current bounds. We further investigate preheating dynamics, focusing on particle production via parametric resonance in quantum-corrected $ϕ^4$ inflation with a non-minimal coupling to gravity. In this scenario, the inflaton $ϕ$ couples to an additional scalar $χ$ through an interaction $g^{2}ϕ^{2}χ^{2}$. In Minkowski spacetime, the resonance dynamics reduce to the Mathieu equation, and we find that broad resonance can be readily achieved, leading to efficient particle production. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_17263 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum-Corrected $ϕ^{4}$ Inflation in Light of ACT Observations Yuennan, Jureeporn Koad, Peeravit Atamurotov, Farruh Channuie, Phongpichit Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology Recent measurements from the Atacama Cosmology Telescope (ACT), combined with Planck and DESI data, suggest a scalar spectral index $n_s$ higher than the Planck 2018 baseline, thereby placing conventional attractor-type inflationary models such as Starobinsky $R^2$ and Higgs inflation under increasing tension at the $\gtrsim 2σ$ level. In this work, we examine quantum-corrected $ϕ^4$ inflation with a non-minimal coupling to gravity. Introducing an anomalous scaling parameter $γ$ to capture quantum corrections to the effective potential, we derive analytic expressions for the inflationary observables $n_s$ and $r$. Confronting these predictions with ACT, Planck, and BAO+lensing constraints, we demonstrate that modest values of $γ$ can raise $n_s$ into the ACT-preferred range while maintaining a strongly suppressed tensor-to-scalar ratio. For instance, with $N=60$ and $γ\simeq 0.006$, the model predicts $n_s\simeq 0.974$ and $r\simeq 0.007$, in excellent agreement with current bounds. We further investigate preheating dynamics, focusing on particle production via parametric resonance in quantum-corrected $ϕ^4$ inflation with a non-minimal coupling to gravity. In this scenario, the inflaton $ϕ$ couples to an additional scalar $χ$ through an interaction $g^{2}ϕ^{2}χ^{2}$. In Minkowski spacetime, the resonance dynamics reduce to the Mathieu equation, and we find that broad resonance can be readily achieved, leading to efficient particle production. |
| title | Quantum-Corrected $ϕ^{4}$ Inflation in Light of ACT Observations |
| topic | Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2508.17263 |