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Title: All-Loop Singularities of Scattering Amplitudes in Massless Planar Theories

Journal Article · · Physical Review Letters
; ;

In massless quantum field theories the Landau equations are invariant under graph operations familiar from the theory of electrical circuits. Using a theorem on the Y - Δ reducibility of planar circuits we prove that the set of first-type Landau singularities of an n -particle scattering amplitude in any massless planar theory, at any finite loop order, is a subset of those of a certain n -particle $$\lfloor$$ (n - 2)2 / 4 $$\rfloor$$ -loop “ziggurat” graph. We determine this singularity locus explicitly for n = 6 and find that it corresponds precisely to the vanishing of the symbol letters familiar from the hexagon bootstrap in supersymmetric Yang-Mills (SYM) theory. Further implications for SYM theory are discussed.

Research Organization:
Brown Univ., Providence, RI (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
SC0010010
OSTI ID:
1465618
Alternate ID(s):
OSTI ID: 1498977
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Vol. 121 Journal Issue: 8; ISSN 0031-9007
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 18 works
Citation information provided by
Web of Science

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Cited By (2)

Emergent unitarity from the amplituhedron journal January 2020
The Sklyanin bracket and cluster adjacency at all multiplicity journal March 2019

Figures / Tables (4)

Figure 1(p. 2)figure Figure 1
Figure 2(p. 2)figure Figure 2
Figure 3(p. 3)figure Figure 3
Figure 4(p. 3)figure Figure 4

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