Critical long-range vector model in the UV

TL;DR

This paper investigates the critical UV behavior of the long-range O(N) vector model with quartic interactions, providing evidence for its equivalence to a critical IR limit of a related cubic model using analytical expansions.

Contribution

It demonstrates the equivalence between the long-range UV model and a cubic model's IR limit through analytical methods, advancing understanding of long-range critical phenomena.

Findings

Evidence for the equivalence of the long-range UV model and the cubic model's IR limit.

Analysis using $psilon$- and $1/N$-expansion techniques.

Insights into the critical behavior of long-range vector models.

Abstract

We study interacting critical UV regime of the long-range $O(N)$ vector model with quartic coupling. Analyzing CFT data within the scope of $\epsilon$- and $1/N$-expansion, we collect evidence for the equivalence of this model and the critical IR limit of the cubic model coupled to a generalized free field $O(N)$ vector multiplet.