The a-theorem for the four-dimensional vector model

الأصل · EN

The discussion of renormalization group flows in four-dimensional conformal field theories has recently focused on the a-anomaly. It has been shown that there is a monotonic decreasing function which interpolates between the ultraviolet and infrared fixed points such that Δa=aUV-aIR>0. In that context Komargodski and Schwimmer showed that Δa could be studied by means of dilaton-dilaton scattering. In this paper we examine the a-theorem using these methods for a four-dimensional interacting theory: the O(N) vector model, considered to leading order in the 1/N expansion and all orders in the coupling constant λ.