The purpose of this review is to bridge the gap between a standard course in quantum field
theory and recent fascinating developments in the studies of on-shell scattering amplitudes …

Half BPS correlators in $\mathcal {N}= 4$ super Yang–Mills theory are key quantities both in
the AdS/CFT correspondence as well as in scattering amplitudes research. They are dual at …

The double copy is, in essence, a map between scattering amplitudes in a broad variety of
familiar field and string theories. In addition to the mathematically rich intrinsic structure, it …

Providing a comprehensive, pedagogical introduction to scattering amplitudes in gauge
theory and gravity, this book is ideal for graduate students and researchers. It offers a …

A bstract Perturbative scattering amplitudes in gauge theories have remarkable simplicity
and hidden infinite dimensional symmetries that are completely obscured in the …

Outlining a revolutionary reformulation of the foundations of perturbative quantum field
theory, this book is a self-contained and authoritative analysis of the application of this new …

We give an explicit recursive formula for the all ℓ-loop integrand for scattering amplitudes
in\(\mathcal {N}= 4\) SYM in the planar limit, manifesting the full Yangian symmetry of the …

We establish a direct connection between scattering amplitudes in planar four-dimensional
theories and a remarkable mathematical structure known as the positive Grassmannian. The …

A bstract Recently, an explicit, recursive formula for the all-loop integrand of planar
scattering amplitudes in\(\mathcal {N}={4}\) SYM has been described, generalizing the …

At the fundamental level, the interactions of elementary particles are described by quantum
gauge field theory. The quantitative implications of these interactions are captured by …