2021/12/10 by Noah Miller, Miller, Noah · 1 voice · 1 citation
Computer Science · Physics and Astronomy · #Black Holes and Theoretical Physics #Computational Physics and Python Applications #Relativity and Gravitational Theory #hep-th
paper · pdf · doi:10.48550/arxiv.2112.05289
52 pages + 3 appendices
arxiv created 2021/12/10 · arxiv published 2021/12/10 · arxiv updated 2021/12/13
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.