Strong infrared effects in quantum gravity.

Mathematics – Logic

Scientific paper

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Quantum Gravity: Cosmology

Scientific paper

The authors explore "quantum cosmological gravity", or quantum general relativity with a nonzero cosmological constant. It is explained why and how QCG can be used reliably in the far infrared, despite the absence of renormalizability. They show that loop corrections to positive Λ QCG mediate powerful infrared effects for two reasons: first, the theory allows massless gravitons to self-interact via a coupling of dimension three; second, the inflationary redshift of the classical background progressively increases the population of soft gravitons. One consequence is that QCG must eventually dominate the physics of inflation with respect to any phenomenologically confirmed theory, no matter how much stronger the nongravitational couplings may seem. Another consequence is that the graviton's on-shell self-energy is negative and infrared divergent at one loop, thereby inducing a negative infrared divergence in the two-loop vacuum energy. The authors analyze these effects in the context of causal evolution from an initial patch of one Hubble volume which begins inflation at finite times in one of the homogeneous and isotropic Fock states of free QCG.

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