Attractive Lagrangians for Noncanonical Inflation

Abstract

Treating inflation as an effective theory, we expect the effective Lagrangian to contain higher-dimensional kinetic operators suppressed by the scale of UV physics. When these operators are powers of the inflaton kinetic energy, the scalar field can support a period of noncanonical inflation which is smoothly connected to the usual slow-roll inflation. We show how to construct noncanonical inflationary solutions to the equations of motion for the first time, and demonstrate that noncanonical inflation is an attractor in phase space for all small- and large-field models. We identify some sufficient conditions on the functional form of the Lagrangian that lead to successful noncanonical inflation since not every Lagrangian with higher-dimensional kinetic operators can support noncanonical inflation. This extends the class of known viable Lagrangians and excludes many Lagrangians which do not work.

39 pages, 9 figures. v2. Fixed typos, added reference, small changes to examples; v3. Added discussion of field redefinitions, added references, matches published version

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• Bispectrum in Single-Field Inflation Beyond Slow-Roll
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• Extension of warm inflation to noncanonical scalar fields
• Logamediate Inflation in f(T) Teleparallel Gravity
• Primordial black holes and secondary gravitational waves from generalized power-law non-canonical inflation with quartic potential
• Initial Conditions for Non-Canonical Inflation
• Decoding the bispectrum of single-field inflation
• Warm DBI inflation with constant sound speed
• One-loop corrections to the power spectrum in general single-field inflation
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• Tachyon inflation with steep potentials
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• Consistency of warm k-inflation
• Brans-Dicke inflation in light of the Planck 2015 data
• Preheating with the Brakes On: The Effects of a Speed Limit
• Study of parametrized dark energy models with a general non-canonical scalar field
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• Non-Canonical Inflation in Supergravity
• Primordial non-Gaussianity in noncanonical warm inflation
• Noncanonical warm inflation: a model with a general Lagrangian density
• Dynamic analysis of noncanonical warm inflation
• Classifying the behavior of noncanonical quintessence
• Resonant non-Gaussianity with equilateral properties
• DBI Inflation and Warped Black Holes
• Two models unifying warm inflation with dark matter and dark energy
• The growth of DM and DE perturbations in DBI non-canonical scalar field scenario
• Non-Linear Resonance in Relativistic Preheating
• Hamilton-Jacobi formalism for k-inflation
• Consistency of a kind of general noncanonical warm inflation
• Non-Gaussianity in a general kind noncanonical warm inflation
• Primordial non-Gaussianity in noncanonical warm inflation with nonminimal derivative coupling
• Reconstructing square-law k-inflation from Planck data
• Non-canonical scalar field in low anisotropy universe with intermediate inflation
• Dynamics of potential-free warm $\mathbf{k}$-inflation with nonminimal derivative coupling