Note on soft theorems and memories in even dimensions

Abstract

Recently, it has been shown that the Weinberg's formula for soft graviton production is essentially a Fourier transformation of the formula for gravitational memory which provides an effective way to understand how the classical calculation arises as a limiting case of the quantum result. In this note, we propose a general framework that connects the soft theorems to the radiation fields obtained from classical computation for different theories in even dimensions. We show that the latter is nothing but Fourier transformation of the former. The memory formulas can be derived from radiation fields explicitly.

19 pages. v2: footnotes added, 1 reference added, v3: typos corrected

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• Extensions of the asymptotic symmetry algebra of general relativity
• The Wald-Zoupas prescription for asymptotic charges at null infinity in general relativity
• Gravitational waves and extra dimensions: a short review
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• Invariance of Unruh and Hawking radiation under matter-induced supertranslations
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• Soft theorems in curved spacetime
• Gravitational and electromagnetic memory
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• Soft Theorems from Boundary Terms in the Classical Point Particle Currents
• Topics in Asymptotic Symmetries and Infrared Effects
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• Finite actions and asymptotic charges at null infinity for any spin
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• Asymptotic symmetries and charges at null infinity: from low to high spins
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