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SUMMARY:Polytopes and Scattering Amplitudes in Scalar Field Theory (Quantu
m Spacetime Series Seminar)
DTSTART;VALUE=DATE-TIME:20190826T060000Z
DTEND;VALUE=DATE-TIME:20190826T070000Z
DTSTAMP;VALUE=DATE-TIME:20200525T174643Z
UID:indico-event-7312@cern.ch
DESCRIPTION:Starting with the seminal work of Arkani-Hamed et al.\, there
has been growing evidence of an intriguing relationship between the geomet
ry of certain class of Polytopes and scattering amplitudes of massless sca
lar particles. This new perspective on scattering amplitude aims to reconf
igure the fundamental postulates of S-matrix theory. A principle called Pr
ojectivity becomes primary and leads to unitarity and locality of the S ma
trix. In this talk\, I will review the key ideas of Arkani-Hamed et al. in
the context of the tree-level S matrix of massless φ3 theory. The polyt
ope whose geometry contains information about the S matrix is known as Ass
ociahedron. Associahedron polytope is a member of an entire family of poly
topes which are known as Accordiahedra and are objects of many recent stud
ies in combinatorial mathematics. I will show how the geometry of each Acc
ordiahedra is tied to tree-level S matrix of massless scalar field theory
with polynomial interactions. This analysis relies on some recent developm
ents in Mathematics of such polytopes that I will highlight.\n\nhttps://in
dico.tifr.res.in/indico/conferenceDisplay.py?confId=7312
LOCATION: A 304
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=7312
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