The a-theorem for the four-dimensional vector model

2014/05/28 by Howard J. Schnitzer, Schnitzer, Howard J.
Physics and Astronomy · Computer Science · Mathematics · #Black Holes and Theoretical Physics #Matrix Theory and Algorithms #Tensor decomposition and applications

paper · pdf · doi:10.48550/arxiv.1405.7347

Abstract

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=a_UV-a_IR>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.

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