Critical long-range vector model in the UV

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.

References in corpus (6)

• Critical $O(N)$ Models in $6-\epsilon$ Dimensions
• Three Loop Analysis of the Critical $O(N)$ Models in $6-\epsilon$ Dimensions
• The crossover region between long-range and short-range interactions for the critical exponents
• Thermal Order in Conformal Theories
• A Complete Renormalization Group Trajectory Between Two Fixed Points
• Long-Range Vector Models at Large N