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On the cosmological constant problem
Abstract We prove that Weyl invariant theories of gravity possess a remarkable property which, under very general assumptions, explains the stability of flat space-time. We show explicitly howExpand
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Maximally symmetric vector propagator
We derive the propagator for a massive vector field on a de Sitter background of arbitrary dimension. This propagator is de Sitter invariant and possesses the proper flat space-time and masslessExpand
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The Quantum Gravitational Back-Reaction on Inflation
Abstract We describe our recent calculation of two-loop corrections to the expansion rate of an initially inflating universe on the manifoldT3× R . If correct, our result proves that quantumExpand
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Stochastic quantum gravitational inflation
Abstract During inflation explicit perturbative computations of quantum field theories which contain massless, nonconformal fields exhibit secular effects that grow as powers of the logarithm of theExpand
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Stochastic inflationary scalar electrodynamics
Abstract We stochastically formulate the theory of scalar quantum electrodynamics on a de Sitter background. This reproduces the leading infrared logarithms at each loop order. It also allows one toExpand
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Weyl Invariance and the Cosmological Constant*
A systematic study of a gravitational action possessing local conformal in-variance is undertaken. The spontaneous breaking of the conformal symmetry induces general relativity as an effective longExpand
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The graviton propagator in de Donder gauge on de Sitter background
We construct the graviton propagator on de Sitter background in exact de Donder gauge. We prove that it must break de Sitter invariance, just like the propagator of the massless, minimally coupledExpand
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Relaxing the cosmological constant
A non-zero cosmological constant allows massless gravitons to self-interact via a coupling of dimension three. If the cosmological constant is positive then the background geometry will subjectExpand
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The physical basis for infra-red divergences in inflationary quantum gravity
We consider tree-order graviton scattering amplitudes on a -dimensional de Sitter background in conformally flat coordinates. Infra-red divergences which cannot be absorbed using conventionalExpand
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de Sitter breaking through infrared divergences
Just because the propagator of some field obeys a de Sitter invariant equation does not mean it possesses a de Sitter invariant solution. The classic example is the propagator of a massless,Expand
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