### New PDF release: Grassmannian Geometry of Scattering Amplitudes

By Nima Arkani-Hamed, Jacob Bourjaily, Freddy Cachazo, Alexander Goncharov, Alexander Postnikov, Jaroslav Trnka

ISBN-10: 1107086582

ISBN-13: 9781107086586

Outlining a innovative reformulation of the principles of perturbative quantum box thought, this e-book is a self-contained and authoritative research of the applying of this new formula to the case of planar, maximally supersymmetric Yang-Mills concept. The e-book starts by means of deriving connections among scattering amplitudes and Grassmannian geometry from first rules earlier than introducing novel actual and mathematical rules in a scientific demeanour obtainable to either physicists and mathematicians. the primary avid gamers during this approach are on-shell services that are heavily relating to sure sub-strata of Grassmannian manifolds referred to as positroids - when it comes to which the category of on-shell services and their kin turns into combinatorially show up. this is often a necessary advent to the geometry and combinatorics of the positroid stratification of the Grassmannian and a fantastic textual content for complex scholars and researchers operating within the parts of box thought, excessive power physics, and the wider fields of mathematical physics.