Asymptotic symmetries of gravity and soft theorems for massive particles

By Miguel Campiglia, Alok Laddha. 2015

175 citations recorded by the source corpus.

A bstractThe existing equivalence between (generalized) BMS Ward identities with leading and subleading soft graviton theorems is extended to the case where the scattering particles are massive scalars. By extending the action of generalized BMS group off null infinity at late times, we show that there is a natural action of such group not only on the radiative data at null infinity but also on the scattering data of the massive scalar field. This leads to a formulation of Ward identities associated to the generalized BMS group when the scattering states are massive scalars or massless gravitons and we show that these Ward identities are equivalent to the leading and subleading soft graviton theorems.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/9d41fb7c3be0686056369472f56c19550cc56aeb

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Citations in the corpus

Conformal basis for flat space amplitudes (2017, background): “Second, when extended to a generic point in R, it satisfies the massless Klein-Gordon equation via a hyperbolic slicing of the d’Alembert operator in flat space [4, 43, 45, 46].”
Soft Hair on Black Holes. (2016, methodology): “This exact equivalence has provided fundamentally new perspectives on both BMS symmetry and the soft graviton theorem, as well as more generally the infrared behavior of gravitational theories [5,7,9-39].”
Lectures on the Infrared Structure of Gravity and Gauge Theory (2017, methodology): “(26)The massive case is treated by Campiglia and Laddha [183,184].”
Classical and quantum results on logarithmic terms in the soft theorem in four dimensions (2018, background): “Soft theorems [1–12] have been analyzed recently from different perspectives, both using asymptotic symmetries [13–36] and also by direct analysis of amplitudes in field theory and string theory [37–87].”
Superrotation charge and supertranslation hair on black holes (2016, background): “(19)The additional boundary terms at I − from massive fields are given in [11].”
The Holographic Nature of Null Infinity (2020, background): “essed by Coulombic modes of the gravitational eld. Thus in the semiclassical theory, the Hilbert space of massive particles is independent of the Hilbert space of radiative modes of gravitational eld [36]. 5.Although we have labelled the vacua only by their supertranslation soft charges, recent stud”
Lessons from the information paradox (2020, background): “massive particles, the Hilbert space can be written as a factorized space of excitations of the massive and massless particles [93] and our statements below then apply after massive particles have been traced out to yield a possibly mixed state on the massless Hilbert space, H.”