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<p>In this work we investigate the gravitational interaction between photons within the recently proposed gauge-theoretic description of gravitation by Partanen and Tulkki. Using the Feynman rules of the theory and following Gupta’s method for extracting interaction potentials from scattering amplitudes, we derive the one-graviton exchange potential governing photon–photon scattering. The derived interaction potential contains the expected long-range Newtonian-type contribution proportional to 1/<i>r</i>, together with a hierarchy of contact terms involving derivatives of the Dirac delta distribution. The structure of these correction terms is reminiscent of vacuum-polarization effects in quantum electrodynamics, suggesting possible observable consequences in principle and highlighting potential distinctive features of this framework.</p>

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Photon–Photon Gravitational Interaction in a Gauge Formulation of Gravity

  • 期刊论文

  • 发表日期：

    2026年8月3日

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  • Abdelwahab Bensouilah

摘要

In this work we investigate the gravitational interaction between photons within the recently proposed gauge-theoretic description of gravitation by Partanen and Tulkki. Using the Feynman rules of the theory and following Gupta’s method for extracting interaction potentials from scattering amplitudes, we derive the one-graviton exchange potential governing photon–photon scattering. The derived interaction potential contains the expected long-range Newtonian-type contribution proportional to 1/r, together with a hierarchy of contact terms involving derivatives of the Dirac delta distribution. The structure of these correction terms is reminiscent of vacuum-polarization effects in quantum electrodynamics, suggesting possible observable consequences in principle and highlighting potential distinctive features of this framework.