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Path Integral for Stochastic Inflation: Non-Perturbative Volume Weighting, Complex Histories, Initial Conditions and the End of Inflation
Steven Gratton
In this paper we present a path integral formulation of stochastic inflation, in which volume weighting can easily be implemented. With an in-depth study of inflation in a quartic…
Measures on transitions for cosmology from eternal inflation
Anthony Aguirre, Steven Gratton, Matthew C Johnson
We argue that in the context of eternal inflation in the landscape, making predictions for cosmological -- and possibly particle physics -- observables requires a measure on the po…
Hurdles for Recent Measures in Eternal Inflation
Anthony Aguirre, Steven Gratton, Matthew C Johnson
In recent literature on eternal inflation, a number of measures have been introduced which attempt to assign probabilities to different pocket universes by counting the number of e…
Cosmic Perturbations Through the Cyclic Ages
Joel K. Erickson, Steven Gratton, Paul J. Steinhardt +1
We analyze the evolution of cosmological perturbations in the cyclic model, paying particular attention to their behavior and interplay over multiple cycles. Our key results are: (…
Langevin Analysis of Eternal Inflation
Steven Gratton, Neil Turok
It has been widely claimed that inflation is generically eternal to the future, even in models where the inflaton potential monotonically increases away from its minimum. The idea…
Homogeneous Modes of Cosmological Instantons
Steven Gratton, Neil Turok
We discuss the O(4) invariant perturbation modes of cosmological instantons. These modes are spatially homogeneous in Lorentzian spacetime and thus not relevant to density perturba…