Scalar subleading soft theorems from an infinite tower of charges
arXiv:2504.08612 · doi:10.1103/5x3x-m2xm
Abstract
We investigate conservation laws in the absence of gauge invariance by analyzing interacting scalar theories with a massless scalar field. We construct an infinite tower of charges that arise from the subleading equations of motion at null infinity and are built from specific combinations of asymptotic field coefficients. Interestingly, these expressions are finite from the outset, requiring no holographic renormalization. By carefully analyzing the dynamics at spatial infinity, we show that this tower of surface integrals commutes with the S-matrix of the interacting model at tree level. As an application, we demonstrate that the conservation of these charges leads to an infinite set of subleading soft relations, valid at tree level in a cubic interaction with massive scalar fields.
26 pages, one figure// V2: Minor modifications. New references added// V3: matches the published version
References in corpus (15)
- New symmetries for the Gravitational S-matrix
- Low's Subleading Soft Theorem as a Symmetry of QED
- 4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT
- Low-Energy Behavior of Gluons and Gravitons from Gauge Invariance
- The Asymptotic Behavior of Massless Fields and the Memory Effect
- Sub-subleading Soft Graviton Theorem from Asymptotic Einstein's Equations
- Loop-corrected subleading soft theorem and the celestial stress-tensor
- Geometric Soft Theorems
- Asymptotic structure of a massless scalar field and its dual two-form field at spatial infinity
- Massless Scalars and Higher-Spin BMS in Any Dimension
- Metric reconstruction from celestial multipoles
- Charge and Antipodal Matching across Spatial Infinity
- two-form asymptotic symmetries and renormalized charges
- Electromagnetic multipole expansions and the logarithmic soft photon theorem
- Waveform, memory and classical soft scalar theorems