Conformal correlators in the critical $O(N)$ vector model

Abstract

We calculate a set of conformal correlators in the critical $O(N)$ vector model in $2<d<6$ dimensions. We focus on the correlators involving the Hubbard-Stratonovich field $s$, and its composite form $s^2$. In the process, we report a number of new calculations of diagrams involving the composite $s^2$ operator. Through the calculation of the $⟨s^2{s}^{2}s⟩$ three-point function, we shed new light on a conjectured $s\to -s$ symmetry in the $s$ sector of the critical $O(N)$ vector model in $d=3$.

43 pages

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Cited by in corpus (2)

• Long-range fermions and critical dualities
• Long-Range Vector Models at Large N