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

References in corpus (50)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• The 2dF Galaxy Redshift Survey: Power-spectrum analysis of the final dataset and cosmological implications
• k-Inflation
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• Towards Inflation in String Theory
• Rolling Tachyon
• Perturbations in k-inflation
• The Effective Field Theory of Inflation
• Causality, Analyticity and an IR Obstruction to UV Completion
• DBI in the Sky
• Tachyon Matter
• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• Brane Inflation
• Monodromy in the CMB: Gravity Waves and String Inflation
• Scalar Speed Limits and Cosmology: Acceleration from D-cceleration
• Field Theory of Tachyon Matter
• Tachyon Dynamics in Open String Theory
• The shape of non-Gaussianities
• k-Essence, superluminal propagation, causality and emergent geometry
• Multiple Peaks in the Angular Power Spectrum of the Cosmic Microwave Background: Significance and Consequences for Cosmology
• Large Non-Gaussianities in Single Field Inflation
• Cosmological Parameter Extraction from the First Season of Observations with DASI
• Generation and Characterization of Large Non-Gaussianities in Single Field Inflation
• Detection of primordial non-Gaussianity (fNL) in the WMAP 3-year data at above 99.5% confidence
• Challenges for Superstring Cosmology
• Cosmology With Negative Potentials
• The Gelaton Scenario: Equilateral non-Gaussianity from multi-field dynamics
• Towards an Explicit Model of D-brane Inflation
• Optimal limits on f_{NL}^{local} from WMAP 5-year data
• Inflation from Warped Space
• A Delicate Universe
• Multi-Throat Brane Inflation
• Advances in Inflation in String Theory
• Observing Brane Inflation
• Holographic Systematics of D-brane Inflation
• DBI Inflation in the Tip Region of a Warped Throat
• Accidental Inflation in String Theory
• Simple Bounds from the Perturbative Regime of Inflation
• Reconstructing a general inflationary action
• Warped Tachyonic Inflation in Type IIB Flux Compactifications and the Open-String Completeness Conjecture
• Volume modulus inflection point inflation and the gravitino mass problem
• Circumventing the eta problem in building an inflationary model in string theory
• Tachyonic Inflation in a Warped String Background
• Brane Inflation is Attractive
• Cosmology of the Tachyon in Brane Inflation
• Observational Signatures of Gravitational Couplings in DBI Inflation
• The structure of correlation functions in single field inflation
• Self-reproduction in k-inflation
• Brane Inflation and the Overshoot Problem
• Cosmological dynamics of D-cceleration

Cited by in corpus (41)

• Refining inflation using non-canonical scalars
• Large slow-roll corrections to the bispectrum of noncanonical inflation
• Non-Canonical Inflation and Primordial Black Holes Production
• de Sitter Vacua in Type IIB String Theory: Classical Solutions and Quantum Corrections
• On the limits of quantum theory: contextuality and the quantum-classical cut
• Primordial black holes and gravitational waves from non-canonical inflation
• Bispectrum in Single-Field Inflation Beyond Slow-Roll
• Intermediate inflation from a non-canonical scalar field
• 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
• Relations between canonical and non-canonical inflation
• Consistency of the tachyon warm inflationary universe models
• Tachyon inflation with steep potentials
• Resurrecting the Power-law, Intermediate, and Logamediate Inflations in the DBI Scenario with Constant Sound Speed
• 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
• Inflation with non-canonical scalar fields revisited
• 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