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Journal ArticleDOI

Infrared photons and gravitons

Steven Weinberg
- 25 Oct 1965 - 
- Vol. 140, pp 516-524
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TLDR
In this paper, it was shown that the divergence arising in the quantum theory of gravitation can be removed by the familiar methods used in quantum electrodynamics, and it was proved that for infrared gravitons this divergence cancels in the sum of all such diagrams.
Abstract
It is shown that the infrared divergences arising in the quantum theory of gravitation can be removed by the familiar methods used in quantum electrodynamics. An additional divergence appears when infrared photons or gravitons are emitted from noninfrared external lines of zero mass, but it is proved that for infrared gravitons this divergence cancels in the sum of all such diagrams. (The cancellation does not occur in massless electrodynamics.) The formula derived for graviton bremsstrahlung is then used to estimate the gravitational radiation emitted during thermal collisions in the sun, and we find this to be a stronger source of gravitational radiation (though still very weak) than classical sources such as planetary motion. We also verify the conjecture of Dalitz that divergences in the Coulomb-scattering Born series may be summed to an innocuous phase factor, and we show how this result may be extended to processes involving arbitrary numbers of relativistic or nonrelativistic particles with arbitrary spin.

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Journal ArticleDOI

Testing general relativity with present and future astrophysical observations

Emanuele Berti, +64 more
TL;DR: In this article, a catalog of modified theories of gravity for which strong-field predictions have been computed and contrasted to Einstein's theory is presented, and the current understanding of the structure and dynamics of compact objects in these theories is summarized.
Journal ArticleDOI

Superstring Collisions at Planckian Energies

TL;DR: In this article, an explicitly unitary operator for the light superstring S-matrix above planckian energies was obtained, which is dominated by graviton exchange at large impact parameters and by absorption at small impact parameters.
Journal ArticleDOI

Soft Hair on Black Holes

TL;DR: This Letter gives an explicit description of soft hair in terms of soft gravitons or photons on the black hole horizon, and shows that complete information about their quantum state is stored on a holographic plate at the future boundary of the horizon.
Journal ArticleDOI

Renormalizable Lagrangians for Massive Yang-Mills Fields

TL;DR: Renormalizable models are constructed in which local gauge invariance is broken spontaneously and can be found by means of a path integral method, and they can be checked by algebra as discussed by the authors, which can serve as a renormalizable theory for ϱ-mesons and photons.
Journal ArticleDOI

On BMS Invariance of Gravitational Scattering

TL;DR: In this paper, the results of Christodoulou and Klainerman were applied within a suitable finite neighborhood of the Minkowski vacuum to identify diagonal elements BMS0 of BMS+ × BMS−.
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