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$\lambda \phi^4$ in dS
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We resolve the issue of infrared divergences present in theories of light scalar fields on de Sitter space.
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Cited by 11 Pith papers
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Ising the way into de Sitter
The two-dimensional thermal Ising model on de Sitter provides exact cosmological correlators that stay finite at late times, with perturbative secular logarithms resummed into principal-series oscillations.
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On Cosmological Correlators at One Loop
The one-loop triangle in-in correlator of massless scalars in flat space is evaluated in closed form in terms of dilogarithms, with Landau analysis revealing its physical singularities and a partial-energy factorisati...
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Stochastic inflation from a non-equilibrium renormalization group
Stochastic inflation is the leading infrared limit of a coarse-grained Schwinger–Keldysh effective theory, and the same Fokker–Planck dynamics follows from a Polchinski-type renormalization-group flow for the reduced ...
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Confronting infrared divergences in de Sitter: loops, logarithms and the stochastic formalism
The authors show that loop corrections do not alter tree-level time dependence in de Sitter correlators, so secular growth is a regularization artifact, not a physical effect.
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Resummation of Cosmological Correlators and their UV-Regularization
All-order necklace cosmological correlators are resummable only after a topology-dependent modification of analytic regularization, yielding a pole and a sign flip that are interpreted as non-perturbative large-N effects.
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Norm of the no-boundary state
At one loop and late time, the norm of the Hartle-Hawking no-boundary state vanishes as e^{S0}/(vol(SO(d,1)) S0^{d(d+1)/4}), and adding an observer stabilizes it to a large positive value.
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Renormalisation and matching of massless scalar correlation functions in Soft de Sitter Effective Theory
SdSET is shown to renormalise and match like a flat-space EFT: tree-level trispectrum and six-point matching plus a one-loop power-spectrum match determine the SdSET couplings and initial-condition functions.
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Deviations from Gaussian White Noise in Stochastic Inflation
Relaxing the sharp cutoff or the Bunch-Davies initial state in stochastic inflation makes the noise colored, and relaxing the initial state also makes it non-Gaussian.
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Cosmological correlators in gravitationally-constrained de Sitter states
Cosmological correlators in gravitationally constrained de Sitter states are conformally invariant and differ from QFT vacuum correlators, but relational observables with a heavy background state can reproduce QFT results.
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Stochastic inflation as an open quantum system
Stochastic inflation emerges from an open-quantum-system derivation, with a Lindblad master equation that reduces to and corrects Starobinsky's Fokker-Planck equation.
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The Quantum Mechanics of Rare Events: From Quantum Walks to Stochastic Inflation
Rare fluctuations in quantum walks are ruled by a measurement-induced relative entropy, and applying this to stochastic inflation yields a steady state that violates detailed balance.
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