The momentum kernel of gauge and gravity theories
By N. Bjerrum-Bohr, P. Damgaard, T. Søndergaard, Pierre Vanhove. 2010
303 citations recorded by the source corpus.
We derive an explicit formula for factorizing an n-point closed string amplitude into open string amplitudes. Our results are phrased in terms of a momentum kernel which in the limit of infinite string tension reduces to the corresponding field theory kernel. The same momentum kernel encodes the monodromy relations which lead to the minimal basis of color-ordered amplitudes in Yang-Mills theory. There are interesting consequences of the momentum kernel pertaining to soft limits of amplitudes. We also comment on surprising links between gravity and certain combinations of kinematic and color factors in gauge theory.
Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics, Political Science and International Relations
View Paper: https://www.semanticscholar.org/paper/ffc6966059310dff07fd7745e5deba74c788433b
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In Atomic and Molecular Physics, and Optics
In Nuclear and High Energy Physics
In Political Science and International Relations
Citations in the corpus
- Color-kinematics duality for QCD amplitudes (2015, background): “For such amplutudes the numerators satisfying the color-kinematics duality were shown to exist to all multiplicities [80, 92, 93], thus effectively proving the duality at tree level for k ≤ 1.”
- Polylogarithms, multiple zeta values and superstring amplitudes (2013, background): “In the above equation, S[ρ|σ]1 is the field-theory limit of the momentum kernel(10) [26], a (N − 3)!× (N − 3)!-matrix(11) homogeneous of degree (N − 3) in the Mandelstam variables sij .”
- One-loop amplitudes on the Riemann sphere (2015, background): “In string theory, this is justified by the chiral splitting of the worldsheet correlator whose dramatic consequences include the KLT relations [41, 52].”
- On-shell techniques and universal results in quantum gravity (2013, background): “Thus the massive field theory amplitude relations obtained by considering the α′ → 0 limit, satisfy the same properties as explained in [31] as corresponding massless ones.”
- Closed string amplitudes as single-valued open string amplitudes (2014, background): “8) and arise from the KLT relations [1,23].”
- Ambitwistor strings and the scattering equations (2013, background): “[26], ambitwistor strings give a simpler context without the towers of massive modes of standard string theory.”
- Double copy for massive quantum particles with spin (2019, background): “ile it is applicable to tree-level gravitational processes for any number of sources, the formula has the drawback that the individual kinematic factors are gauge-dependent. The standard KLT formulae [14,64,65], which are manifestly gauge-invariant, cannot be used together with QCD amplitudes that c”
- Colour-Kinematics duality for one-loop rational amplitudes (2013, background): “Various authors have described how to compute numerators obeying the duality (we shall call such numerators dual numerators for simplicity) for any tree amplitude in gauge theory [4–7].”
- Scattering equations and matrices: from Einstein to Yang-Mills, DBI and NLSM (2014, background): “From the explicit form of the DBI integrand, given in (5.7), it is obvious that its KLT decomposition is similar to that of EM, i.e., MDBI(γ, s) = ∑ α,βM (L) YMS(α)S[α|β]M (R) NLSM(β).”
- Black Hole Formation and Classicalization in Ultra-Planckian 2 ! N Scattering (2014, background): “This was first proven in string theory by exploiting the monodromy properties of the closed string world-sheet [10] and later cast into compact form in [24,25].”
- Extensions of theories from soft limits (2016, methodology): “KLT relations have been used to calculate soft limits in [30, 31].”