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arXiv · 2407.13556

Infinite-dimensional hierarchy of recursive extensions for all sub$^n$-leading soft effects in Yang-Mills

Silvia Nagy·Javier Peraza·Giorgio Pizzolo
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Abstract

Building on our proposal in arXiv:2405.06629, we present in detail the construction of the extended phase space for Yang-Mills at null infinity, containing the asymptotic symmetries and the charges responsible for sub$^n$-leading soft theorems at all orders. The generality of the procedure allows it to be directly applied to the computation of both tree and loop-level soft limits. We also give a detailed study of Yang-Mills equations under the radial expansion, giving a thorough construction of the radiative phase space for decays compatible with tree-level amplitudes for both light-cone and radial gauges. This gives rise to useful recursion relations at all orders between the field strength and the vector gauge coefficients. We construct the sub$^n$-leading charges recursively, and show a hierarchical truncation such that each charge subalgebra is closed, and their action in the extended phase space is canonical. We relate these results with the infinite-dimensional algebras that have been recently introduced in the context of conformal field theories at null infinity. We also apply our method to the computation of non-universal terms in the sub-leading charges arising in theories with higher derivative interaction terms.

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Silvia Nagy, Javier Peraza, Giorgio Pizzolo. 2024-07-18. Infinite-dimensional hierarchy of recursive extensions for all sub$^n$-leading soft effects in Yang-Mills. https://arxiv.org/abs/2407.13556

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