A General Hierarchy of Charges at Null Infinity via the Todd Polynomials
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866913806152630272 |
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| author | Nagy, Silvia Peraza, Javier Pizzolo, Giorgio |
| author_facet | Nagy, Silvia Peraza, Javier Pizzolo, Giorgio |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_06629 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A General Hierarchy of Charges at Null Infinity via the Todd Polynomials Nagy, Silvia Peraza, Javier Pizzolo, Giorgio High Energy Physics - Theory 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. |
| title | A General Hierarchy of Charges at Null Infinity via the Todd Polynomials |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2405.06629 |