Shadows and Soft Exchange in Celestial CFT

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• Daniel Kapec, Harvard University
• Wednesday 17 November 2021, 14:15-15:15
• ONLINE - Details to be sent by email.

If you have a question about this talk, please contact bc335.

I will discuss exponentiated soft exchange in (d+2)-dimensional gauge and gravitational theories using the celestial CFT formalism. These models exhibit spontaneously broken asymptotic symmetries generated by gauge transformations with non-compact support, and the effective dynamics of the associated Goldstone “edge” mode is expected to be d-dimensional. The introduction of an infrared regulator also explicitly breaks these symmetries so the edge mode in the regulated theory is really a d-dimensional pseudo-Goldstone boson. Symmetry considerations determine the leading terms in the effective action, whose coefficients are controlled by the infrared cutoff. Computations in this model reproduce the abelian infrared divergences in d=2, and capture the re-summed (infrared finite) soft exchange in higher dimensions. The model also reproduces the leading soft theorems in gauge and gravitational theories in all dimensions. Interestingly, we find that it is the shadow transform of the Goldstone mode that has local d-dimensional dynamics: the effective action expressed in terms of the Goldstone mode is non-local for d>2. The analysis demonstrates that symmetry principles suffice to calculate soft exchange in gauge theory and gravity.

This talk is part of the Theoretical Physics Colloquium series.

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