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arXiv · 2405.06629

A General Hierarchy of Charges at Null Infinity via the Todd Polynomials

Silvia Nagy·Javier Peraza·Giorgio Pizzolo
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Abstract

We give a general procedure for constructing an extended phase space for Yang-Mills theory at null infinity, capable of handling the asymptotic symmetries and construction of charges responsible for sub$^n$-leading soft theorems at all orders. The procedure is coordinate and gauge-choice independent, and can be fed into the calculation of both tree and loop-level soft limits. We find a hierarchy in the extended phase space controlled by the Bernoulli numbers arising in Todd genus computations. We give an explicit example of a calculation at tree level, in radial gauge, where we also uncover recursion relations at all orders for the equations of motion and charges.

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Silvia Nagy, Javier Peraza, Giorgio Pizzolo. 2024-05-10. A General Hierarchy of Charges at Null Infinity via the Todd Polynomials. https://doi.org/10.1103/physrevd.111.l061903

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