The Running Gravitational Couplings

Abstract

We compute the running of the cosmological constant and Newton's constant taking into account the effect of quantum fields with any spin between 0 and 2. We find that Newton's constant does not vary appreciably but the cosmological constant can change by many orders of magnitude when one goes from cosmological scales to typical elementary particle scales. In the extreme infrared, zero modes drive the cosmological constant to zero.

19 pages, TeX file, revised and expanded, some misprints corrected

References in corpus (4)

• Exact evolution equation for the effective potential
• The Higgs Phenomenon in Quantum Gravity
• Effective Nonlocal Euclidean Gravity
• Geodesics, gravitons and the gauge fixing problem

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