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

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 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 …

arXiv:1111.2115v1 [hep-th] 9 Nov 2011 Page 1 LPTENS–11/44 Conformal Bootstrap in Three
Dimensions? Slava Rychkov Laboratoire de Physique Théorique, Ecole Normale Supérieure …

Monotonic renormalization group flows of the “c” and “a” functions are often cited as reasons
why cyclic or chaotic coupling trajectories cannot occur. It is argued here, based on simple …

A bstract The running of quantum field theories can be studied in detail with the use of a
local renormalization group equation. The usual beta-function effects are easy to include …