English

Classical and Quantum Results on Logarithmic Terms in the Soft Theorem in Four Dimensions

High Energy Physics - Theory 2019-09-19 v3 General Relativity and Quantum Cosmology

Abstract

We explore the logarithmic terms in the soft theorem in four dimensions by analyzing classical scattering with generic incoming and outgoing states and one loop quantum scattering amplitudes. The classical and quantum results are consistent with each other. Although most of our analysis in quantum theory is carried out for one loop amplitudes in a theory of (charged) scalars interacting via gravitational and electromagnetic interactions, we expect the results to be valid more generally.

Keywords

Cite

@article{arxiv.1808.03288,
  title  = {Classical and Quantum Results on Logarithmic Terms in the Soft Theorem in Four Dimensions},
  author = {Biswajit Sahoo and Ashoke Sen},
  journal= {arXiv preprint arXiv:1808.03288},
  year   = {2019}
}

Comments

LaTeX file, 61 pages, 25 figures; v2: references updated, other minor changes; v3: few sign errors corrected, no change in the main results on the classical wave-form