In this review article, we discuss the distinction and possible equivalence between scale
invariance and conformal invariance in relativistic quantum field theories. Under some …

We study the constraints of crossing symmetry and unitarity in general 3D conformal field
theories. In doing so we derive new results for conformal blocks appearing in four-point …

A bstract We study the possible IR and UV asymptotics of 4D Lorentz invariant unitary
quantum field theory. Our main tool is a generalization of the Komargodski-Schwimmer proof …

A bstract If the coupling constants in QFT are promoted to functions of space-time, the
dependence of the path integral on these couplings is highly constrained by conformal …

A bstract Using holographic entanglement entropy for strip geometry, we construct a
candidate for a c-function in arbitrary dimensions. For holographic theories dual to Einstein …

A bstract We study the extension of the approach to the a-theorem of Komargodski and
Schwimmer to quantum field theories in d= 6 spacetime dimensions. The dilaton effective …

We consider scenarios where strong conformal dynamics constitutes the ultraviolet
completion of the physics that drives electroweak symmetry breaking. We show that in …

A bstract There is a widely held belief that conformal field theories (CFTs) require zero beta
functions. Nevertheless, the work of Jack and Osborn implies that the beta functions are not …

We consider matter fields conformally coupled to a background metric and dilaton and
describe in detail a quantization procedure and related renormalization group flow that …

A bstract We consider classically scale-invariant theories with non-minimally coupled scalar
fields, where the Planck mass and the hierarchy of physical scales are dynamically …