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Long-range vector models at large N
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DOI：10.1007/JHEP09(2021)194.png)
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Abstract
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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(*) 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(*).
Keywords:
1/N Expansion
Conformal Field Theory
Field Theories in Lower Dimensions
Nonperturbative Effects
Journal
IF:
5.5
Papers:
3.9W
Citations:
13.7W