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An On-Shell Derivation of the Soft Effective Action in Abelian Gauge Theories

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arxiv 2403.14502 v2 pith:P7L4BBV3 submitted 2024-03-21 hep-th hep-ph

Temple He , Prahar Mitra , Allic Sivaramakrishnan , Kathryn M. Zurek This is my paper · ORCID
classification hep-thhep-ph
keywords softmodesabelianactionboundarygaugeon-shelltheories
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abstract

We derive the soft effective action in $(d+2)$-dimensional abelian gauge theories from the on-shell action obeying Neumann boundary conditions at timelike and null infinity and Dirichlet boundary conditions at spatial infinity. This allows us to identify the on-shell degrees of freedom on the boundary with the soft modes living on the celestial sphere. Following the work of Donnelly and Wall, this suggests that we can interpret soft modes as entanglement edge modes on the celestial sphere and study entanglement properties of soft modes in abelian gauge theories.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Soft edges: the many links between soft and edge modes

    hep-th 2024-12 conditional novelty 7.0 of 10

    In Maxwell theory, asymptotically charged edge modes (soft edges) pull asymptotic symmetries and soft data into finite subregions, giving finite-distance corner charges without an infinite-volume limit.

  2. From Asymptotically Flat Gravity to Finite Causal Diamonds

    hep-th 2025-12 unverdicted novelty 6.0 of 10

    The soft sector phase space of asymptotically flat gravity equals the phase space of radial size fluctuations of a finite causal diamond in flat spacetime.

  3. Effective density matrix for vacua in asymptotically flat gravity

    hep-th 2025-09 conditional novelty 5.0 of 10

    The vacuum of a large causal diamond in asymptotically flat gravity is claimed to be a Gaussian in the supertranslation Goldstone mode, giving modular Hamiltonian variance A/epsilon squared.

  4. 2d theory for asymptotic dynamics of 4d (self-dual) Einstein gravity

    hep-th 2024-12 conditional novelty 4.0 of 10

    A 2d chiral action on the momentum-space celestial sphere is shown to reproduce BMS and w1+∞ symmetries, stress tensors, and soft dressing of 4d self-dual gravity.

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