Primordial foam and absorption of infrared divergences in quantum gravity

Computer Science

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Asymptotic Properties, Electromagnetism, Gravitational Fields, Gravitons, Infrared Absorption, Abel Function, Degrees Of Freedom, Fourier Transformation, Hilbert Space

Scientific paper

A mechanism is presented by which infrared divergences, i.e. soft photons or gravitons, could be absorbed if microuniverses (four-dimensional acausal 'bubbles' trapped within a compact null boundary) could have emerged, at the Planck length, from a primordial spacetime foam. The absorption of infrared sectors is connected (via a periodicity condition) to the specific expression of characteristic data (which provide a labelling of one-photon, or graviton, asymptotic quantum states) in the presence of a conformal isometry and U(1) bundle structure (over S explz) at conformal null infinity. This result might shed light on one of the pathologies of Minkowskian quantum field theory.

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