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 …

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 …

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

We consider correlation functions of the stress-tensor or a conserved current in AdS d+
1/CFT d computed using the Hilbert or the Yang-Mills action in the bulk. We introduce new …

This article provides an introduction to on-shell recursion relations for calculations of tree-
level amplitudes. Starting with the basics, such as spinor notations and color …

A bstract Using the principles of the modern scattering amplitudes programme, we develop a
formalism for constructing the amplitudes of three-dimensional topologically massive gauge …

A bstract Celestial amplitude plays an important role in the understanding of holography.
Computing celestial amplitudes by recursion can deepen our understanding of the structure …

A bstract We study, in the context of the three-dimensional\(\mathcal {N}\)= 6 Chern-Simons-
matter (ABJM) theory, the infrared-finite functions that result from performing L− 1 loop …

We provide evidence for a duality between color and kinematics in three-dimensional
supersymmetric Chern-Simons matter theories. We show that the six-point amplitude in the …