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arXiv · 1808.00042

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

Mbavhalelo Mulokwe·João P. Rodrigues
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Abstract

We study the three dimensional O(N) invariant bosonic vector model with a $\fracλ{N}(ϕ^{a}ϕ^{a})^{2}$ 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 $Δ=2$ state. We further demonstrate that at the critical point the $Δ=1$ state disappears from the spectrum.

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Mbavhalelo Mulokwe, João P. Rodrigues. 2018-07-31. Large N bilocals at the infrared fixed point of the three dimensional O(N) invariant vector theory with a quartic interaction. https://doi.org/10.1007/jhep11(2018)047

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