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Resummations for Inflationary Quantum Gravity
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The continual production of gravitons during inflation endows loop corrections with secular logarithms which grow nonperturbatively large during a prolonged period of inflation. The physics behind these effects is reviewed, along with a catalog of the examples which have so far been found. Resummation can be accomplished by combining a variant of Starobinsky's stochastic formalism with a variant of the renormalization group. The issue of gauge independence is also addressed.
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Cited by 2 Pith papers
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Yukawa scalar self energy at two loop and $\langle \phi^2 \rangle$ in the inflationary de Sitter spacetime
Two-loop Yukawa corrections in de Sitter yield ⟨ϕ²⟩ ~ ln⁴a at late times, with a resummed expression that is bounded, decreases with larger Yukawa coupling, and implies a growing dynamical scalar mass.
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An Unfinished Collaboration with A. A. Starobinsky
Quantum gravitational infrared fluctuations could make the rescaled spatial metric undergo Brownian motion on SL(3,R)/SO(3), producing exponential anisotropy and a quantum violation of cosmic no-hair.
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