The r^{-3} curvature decay is a universal threshold that makes zero part of the essential spectrum of the linearized coupled Einstein-Maxwell operator via delocalized modes, unifying the infrared behavior of spin-1, spin-2, and mixed fields and linking it to memory effects.
Color Memory
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abstract
A transient color flux across null infinity in classical Yang-Mills theory is considered. It is shown that a pair of test `quarks' initially in a color singlet generically acquire net color as a result of the flux. A nonlinear formula is derived for the relative color rotation of the quarks. For weak color flux the formula linearizes to the Fourier transform of the soft gluon theorem. This color memory effect is the Yang-Mills analog of the gravitational memory effect.
fields
gr-qc 1years
2025 1verdicts
UNVERDICTED 1representative citing papers
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Infrared Universality: The $r^{-3}$ Spectral Threshold for Coupled Gravitational and Electromagnetic Fields
The r^{-3} curvature decay is a universal threshold that makes zero part of the essential spectrum of the linearized coupled Einstein-Maxwell operator via delocalized modes, unifying the infrared behavior of spin-1, spin-2, and mixed fields and linking it to memory effects.