Shadows and Soft Exchange in Celestial CFT

Kapec, Daniel; Mitra, Prahar

doi:10.48550/arxiv.2109.00073

Cited by 5 publications

(5 citation statements)

References 48 publications

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“…One might wonder if this differential equation can be expressed at the equation of motion of some Euclidean action defined on S 2 . This is indeed the case-such an action was given in [39] (see also [40,41]). However, we will not comment any further on this infrared boundary action.…”

Section: Soft Charge Conservation and Memorymentioning

confidence: 79%

From Noether's Theorem to Bremsstrahlung: a pedagogical introduction to large gauge transformations and classical soft theorems

Miller¹

2021

Preprint

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Electromagnetism contains an infinite dimensional symmetry group of large gauge transformations. This gives rise to an infinite number of conserved quantities called "soft charges" via Noether's theorem. When charged particles scatter, the conservation of soft charge constrains the overall amount of radiation emitted per angle. Here we describe the physical consequences of soft charge conservation and give fresh accounts of the roles of spacelike and timelike infinity in these conservation laws. We conclude by exploring the possibility of creating a dual boundary theory of electromagnetism.

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Section: Soft Charge Conservation and Memorymentioning

confidence: 79%

From Noether's Theorem to Bremsstrahlung: a pedagogical introduction to large gauge transformations and classical soft theorems

Miller¹

2021

Preprint

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“…This may be related with known obstructions for a non-abelian extension of electric-magnetic abelian duality [56]. See [57] for a recent discussion of non-abelian magnetic charges at null infinity.…”

Section: Q 1 εmentioning

confidence: 85%

Charge algebra for non-abelian large gauge symmetries at $O(r)$

Campiglia,

Peraza

2021

Preprint

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Asymptotic symmetries of gauge theories are known to encode infrared properties of radiative fields. In the context of tree-level Yang-Mills theory, the leading soft behavior of gluons is captured by large gauge symmetries with parameters that are O(1) in the large r expansion towards null infinity. This relation can be extended to subleading order provided one allows for large gauge symmetries with O(r) gauge parameters. The latter, however, violate standard asymptotic field fall-offs and thus their interpretation has remained incomplete. We improve on this situation by presenting a relaxation of the standard asymptotic field behavior that is compatible with O(r) gauge symmetries at linearized level. We show the extended space admits a symplectic structure on which O(1) and O(r) charges are well defined and such that their Poisson brackets reproduce the corresponding symmetry algebra.

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“…If one were to take seriously the m dependence, this kind of 35 Furthermore, an intense research activity continues on the general properties of celestial gauge amplitudes and their connections to the underlying conformal theory: see, for example, Refs. [472][473][474][475][476][477][478][479][480][481][482][483].…”

Section: Computing the Infrared Anomalous Dimension Matrixmentioning

confidence: 99%