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• W3206952292 abstract "In this work we revisit constraints on $k$-inflation with a Dirac-Born-Infeld (DBI) kinetic term and a power-law kinetic term from reheating. For the DBI kinetic term we choose monomial potentials, $Vensuremath{propto}{ensuremath{phi}}^{n}$ with $n=2/3$, 1, 2, and 4, and natural inflaton potential, and for the power-law kinetic term we choose quadratic, quartic, and exponential potentials. The phase of reheating can be parametrized in terms of the reheating temperature, ${T}_{re}$, the number of $e$-folds during reheating ${N}_{re}$, and the effective equation of state during reheating ${w}_{re}$. These parameters can be related to the spectral index ${n}_{s}$ and other inflationary parameters depending on the choice of inflaton kinetic term and potential. By demanding that ${w}_{re}$ should have a finite range and ${T}_{re}$ should be above the electroweak scale, one can obtain bounds on ${n}_{s}$ that can provide bounds on the tensor-to-scalar ratio, $r$. We find, for $k$-inflation with a DBI kinetic term, and quadratic and quartic potentials, that the upper bound on $r$ for the physically plausible value of $0ensuremath{le}{w}_{re}ensuremath{le}0.25$ is slightly larger than the Planck 2018 and BICEP2/Keck array bound, and for $n=2/3$ and 1, the reheating equation of state should be less than 0 to satisfy Planck 2018 joint constraints on ${n}_{s}$ and $r$. However, natural inflation with the DBI kinetic term is compatible with Planck 2018 bounds on $r$ and joint constraints on ${n}_{s}$ and $r$ for the physically plausible range $0ensuremath{le}{w}_{re}ensuremath{le}0.25$. The quadratic and quartic potential with a power-law kinetic term are also compatible with Planck 2018 joint constraints on ${n}_{s}$ and $r$ for $0ensuremath{le}{w}_{re}ensuremath{le}1$. However, for an exponential potential with a power-law kinetic term, the equation of state during reheating, ${w}_{re}$, should be greater than 1 for $rensuremath{-}{n}_{s}$ predictions to lie within 68% C.L. of joint constraints on ${n}_{s}$ and $r$ from Planck 2018 observations." @default.
• W3206952292 created "2021-10-25" @default.
• W3206952292 creator A5057133173 @default.
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• W3206952292 date "2021-10-13" @default.
• W3206952292 modified "2023-09-27" @default.
• W3206952292 title "Reheating constraints on <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>k</mml:mi></mml:math> -inflation" @default.
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• W3206952292 doi "https://doi.org/10.1103/physrevd.104.083526" @default.
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