Kavli Affiliate: Simeon Hellerman
| First 5 Authors: Jahmall Bersini, Simeon Hellerman, Domenico Orlando, Susanne Reffert,
| Summary:
We study the fixed point of the three-dimensional NJL model in a
double-scaling limit where both the charge $Q$ and the number of fermion
flavors $N$ become large with a fixed ratio $q=Q/(2N)$. While a similar
analysis has been performed for the bosonic O(N) model, fermionic models pose
new challenges. In this work, we systematically explore the CFT spectrum in
both the large and small $q$ limits beyond the first few orders, and perform a
resurgence analysis. Through this approach, we identify the exponential
corrections that relate the convergent small-$q$ expansion to the asymptotic
large-$q$ behavior. Our results are suggestive of a geometric interpretation of
these results in terms of the worldline of particles moving along the geodesics
on the cylinder.
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