The Hubble Slow Roll Expansion for Multi Field Inflation

Abstract

We examine the dynamics of inflation driven by multiple, interacting scalar fields and derive a multi field version of the Hubble slow roll expansion. We show that the properties of this expansion naturally generalize those of the single field case. We present an analogous hierarchy of slow roll parameters, and derive the system of ``flow'' equations that describes their evolution, and show that when this system is truncated at finite order, it can always be solved exactly. Lastly, we express the scalar and tensor perturbation spectra in terms of the slow roll parameters.

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• The Effective Theory of Inflation in the Standard Model of the Universe and the CMB+LSS data analysis
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• Gravitational wave consistency relations for multifield inflation
• Shortcomings of New Parametrizations of Inflation
• Slow-Roll Inflation at N3LO
• The Strong Multifield Slowroll Condition and Spiral Inflation
• Primordial power spectrum at N3LO in effective theories of inflation
• Observable Signatures of Inflaton Decays
• Hubble multi-scalar inflation
• Spectrum of Curvature Perturbation of Multi-field Inflation with Small-Field Potential
• Baryogenesis in $R^2$-Higgs Inflation: the Gravitational Connection
• Clocking the End of Cosmic Inflation
• Topological Zero-Thickness Cosmic Strings
• Stability of multi-field cosmological solutions in the presence of a fluid
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• The $R^2$-Higgs inflation with two Higgs doublets