This review describes the duality between color and kinematics and its applications, with the
aim of gaining a deeper understanding of the perturbative structure of gauge and gravity …

When the universe is treated as a quantum system, it is described by a wave function. This
wave function is a function not only of the matter fields, but also of spacetime. The no …

Asymptotic safety generalizes asymptotic freedom and could contribute to understanding
physics beyond the Standard Model. It is a candidate scenario to provide an ultraviolet …

" Wald's book is clearly the first textbook on general relativity with a totally modern point of
view; and it succeeds very well where others are only partially successful. The book includes …

In a previous paper we observed that (classical) tree-level gauge-theory amplitudes can be
rearranged to display a duality between color and kinematics. Once this is imposed, gravity …

Quantum gravity poses the problem of merging quantum mechanics and general relativity,
the two great conceptual revolutions in the physics of the twentieth century. The loop and …

We present an identity satisfied by the kinematic factors of diagrams describing the tree
amplitudes of massless gauge theories. This identity is a kinematic analog of the Jacobi …

In Einstein's gravitational theory, the spacetime is Riemannian, that is, it has vanishing
torsion and vanishing nonmetricity (covariant derivative of the metric). In the gauging of the …

The Feynman Lectures on Gravitation are based on notes prepared during a course on
gravitational physics that Richard Feynman taught at Caltech during the 1962-63 academic …

The zero modes of closed strings on a torus—the torus coordinates plus dual coordinates
conjugate to winding number—parameterize a doubled torus. In closed string field theory …