Summary
The possibility that a nonlinear photon-photon interaction gives rise to gravitons is investigated. At first photons are treated as neutral vector particles of small finite mass; then as zero-mass particles in the frame of usual gauge-invariant quantum electrodynamics. The corresponding Bethe-Salpeter equations are solved in the chain approximation. Bound states exist which have the required symmetry properties, and correspond to particles with spin two or zero. Of these, only one has zero mass and its phenomenological coupling to photons is, in the approximation considered, entirely dynamical.
Riassunto
Si studia la possibilità che una interazione non lineare fotone-fotone dia origine a gravitoni. Dapprima i fotoni sono trattati come particelle vettoriali neutre dotate di massa piccola, ma finita; poi come particelle di massa nulla nell’ambito dell’elettrodinamica quantistica solita. Le corrispondenti equazioni di Bethe-Salpeter sono risolte nell’approssimazione a catena. Esistono stati legati che hanno le proprietà di simmetria appropriate e corrispondono a particelle di spin 2 o nullo. Di queste solo una ha massa nulla, ed il suo accoppiamento fenomenologico con i fotoni risulta, nell’approssimazione considerata, interamente dinamico.
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This work was supported by the U. S. Air Force Office of Scientific Research, grant AF-AFOSR-153-64.
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Papini, G. Photon bound states and gravitons. Nuovo Cim 39, 716–726 (1965). https://doi.org/10.1007/BF02735838
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DOI: https://doi.org/10.1007/BF02735838