Constraining subleading soft gluon and graviton theorems

By Johannes Broedel, M. Leeuw, J. Plefka, M. Rosso. 2014

142 citations recorded by the source corpus.

We show that the form of the recently proposed subleading soft graviton and gluon theorems in any dimension are severely constrained by elementary arguments based on Poincar\'e and gauge invariance as well as a self-consistency condition arising from the distributional nature of scattering amplitudes. Combined with the assumption of a local form as it would arise from a Ward identity the orbital part of the subleading operators is completely fixed by the leading universal Weinberg soft pole behavior. The polarization part of the differential subleading soft operators in turn is determined up to a single numerical factor for each hard leg at every order in the soft momentum expansion. In four dimensions, factorization of the Lorentz group allows to fix the subleading operators completely.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/fab5ef51d8965cb7483dcd9e5b26f5e68f671eeb

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Citations in the corpus

Asymptotic symmetries and subleading soft graviton theorem (2014, background): “A more general proof for the theorem was later given in [18, 19].”
Lectures on the Infrared Structure of Gravity and Gauge Theory (2017, background): “A complete classification of all possible soft theorems at various orders of the soft expansion has not appeared, although some discussion of it exists [79,80].”
Unifying relations for scattering amplitudes (2017, unknown): “(48) yields A(π1, π2, π3) = A(φ1φ2, π3) = L · T [12] · A(g1, g2, g3) = A(φ2φ3, π1) = L · T [23] · A(g1, g2, g3) = A(φ3φ1, π2) = L · T [31] · A(g1, g2, g3) = 0 , (51)”
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].”
Asymptotic symmetries of gravity and soft theorems for massive particles (2015, background): “However following [16] we will try to give a persuasive argument to the effect that such sub-leading theorem continues to hold in the present case as well.”
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].”