Large N bilocals at the infrared fixed point of the three dimensional O(N) invariant vector theory with a quartic interaction

Abstract

We study the three dimensional O(N) invariant bosonic vector model with a λN(φaφa)2 interaction at its infrared fixed point, using a bilocal field approach and in an 1/N expansion. We identify a (negative energy squared) bound state in its spectrum about the large N conformal background. At the critical point this is identified with the ∆ = 2 state. We further demonstrate that at the critical point the ∆ = 1 state disappears from the spectrum.