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arXiv · 2107.08052

Long-Range Vector Models at Large N

Noam Chai·Mikhail Goykhman·Ritam Sinha
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Abstract

We calculate various CFT data for the $O(N)$ vector model with the long-range interaction, working at the next-to-leading order in the $1/N$ expansion. Our results provide additional evidence for the existence of conformal symmetry at the long-range fixed point, as well as the continuity of the CFT data at the long-range to short-range crossover point $s_\star$ of the exponent parameter $s$. We also develop the $N>1$ generalization of the recently proposed IR duality between the long-range and the deformed short-range models, providing further evidence for its non-perturbative validity in the entire region $d/2<s<s_\star$.

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Noam Chai, Mikhail Goykhman, Ritam Sinha. 2021-07-16. Long-Range Vector Models at Large N. https://doi.org/10.1007/jhep09(2021)194

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