Classical Physics and Quantum Loops

Abstract

The standard picture of the loop expansion associates a factor of h-bar with each loop, suggesting that the tree diagrams are to be associated with classical physics, while loop effects are quantum mechanical in nature. We discuss examples wherein classical effects arise from loop contributions and display the relationship between the classical terms and the long range effects of massless particles.

15 pages, 3 figures

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• General relativity as an effective field theory: The leading quantum corrections
• Quantum Gravitational Corrections to the Nonrelativistic Scattering Potential of Two Masses
• Quantum Corrections to the Schwarzschild and Kerr Metrics
• Quantum power correction to the Newton law
• Quantum Corrections to the Reissner-Nordström and Kerr-Newman Metrics
• Quantum long-range interactions in general relativity

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