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Construction of an asymptotic S matrix for perturbative quantum gravity
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Construction of an asymptotic S matrix for perturbative quantum gravity
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The infrared behavior of perturbative quantum gravity is studied using the method developed for QED by Faddeev and Kulish. The operator describing the asymptotic dynamics is derived and used to construct an IR-finite S matrix and space of asymptotic states. All-orders cancellation of IR divergences is shown explicitly at the level of matrix elements for the example case of gravitational potential scattering. As a practical application of the formalism, the soft part of a scalar scattering amplitude is related to the gravitational Wilson line and computed to all orders.
Forward citations
Cited by 2 Pith papers
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Kerr Soft Dressing and the $w_{1+\infty}$ Frame Algebra at Null Infinity
The Kerr soft exponent generates a parity-alternating hierarchy of null-infinity frame generators—displacement memory at s=0, spin memory at s=1, and higher moments alternating by Kerr multipole parity—realized as the...
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$w_{1+\infty}$ as the Frame Algebra of Kerr Soft Dressing
Kerr soft dressing exponentiates into a parity-alternating tower of frame shifts whose chiral-projected composition law is the w1+∞ bracket, solved in closed form for aligned spin.
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