REVIEW 6 cited by
Surface Kinematics and "The" Yang-Mills Integrand
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
It has been a long-standing challenge to define a canonical loop integrand for non-supersymmetric gluon scattering amplitudes in the planar limit. Naive integrands are inflicted with $1/0$ ambiguities associated with tadpoles and massless external bubbles, which destroy integrand-level gauge invariance as well as consistent on-shell factorization on single loop-cuts. In this letter, we show that this essentially kinematical obstruction to defining "the" integrand for Yang-Mills theory has a structural solution, handed to us by the formulation of gluon amplitudes in terms of curves on surfaces. This defines "surface kinematics" generalizing momenta, making it possible to define "the" integrand satisfying both a (surface generalized) notion of gauge-invariance and consistent loop-cuts. The integrand also vanishes at infinity in appropriate directions, allowing it to be recursively computed for non-supersymmetric Yang-Mills theory in any number of dimensions. We illustrate these ideas through one loop for all multiplicity, and for the simplest two-loop integrand.
Forward citations
Cited by 6 Pith papers
-
NLSM amplitudes from a quartic two-derivative theory
A two-field scalar theory with a single quartic two-derivative vertex reproduces all planar NLSM tree amplitudes and, up to scaleless terms, all loop integrands.
-
QCD Scattering Amplitudes and Prescriptive Unitarity
The maximally-transcendental part of planar two-loop six-gluon MHV QCD amplitudes is bootstrapped at symbol level and expressed in a 137-letter alphabet.
-
From Cosmological Cuts to Yang--Mills Wavefunctions in de Sitter Space
Tree-level Yang-Mills de Sitter wavefunctions through six points are reconstructed from cosmological cuts into cut-detectable gluings plus a current-conservation completion, matching Feynman rules and suggesting an al...
-
On differential operators for scalar-scaffolded gluons
Differential operators on scalar-scaffolded variables extract individual phi^3 diagrams from gluon amplitudes, and the independent mixed amplitudes are counted by Catalan numbers.
-
On one-loop amplitudes in gauge theories
A universal expansion expresses one-loop n-gluon amplitudes in general gauge theories as scalar-loop integrands dressed by matter-dependent gauge-invariant traces.
-
On the New Factorizations of Yang-Mills Amplitudes
Tree-level Yang-Mills amplitudes factorize into gluings of lower-point amplitudes when a rectangular set of Mandelstam variables vanishes, and this paper gives a rigorous CHY-based proof.
Discussion (0). Continue with ORCID to comment.