Resurgence Analysis of the Nambu-Jona-Lasinio model at large charge
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909625441320960 |
|---|---|
| author | Bersini, Jahmall Hellerman, Simeon Orlando, Domenico Reffert, Susanne |
| author_facet | Bersini, Jahmall Hellerman, Simeon Orlando, Domenico Reffert, Susanne |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_21631 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Resurgence Analysis of the Nambu-Jona-Lasinio model at large charge Bersini, Jahmall Hellerman, Simeon Orlando, Domenico Reffert, Susanne High Energy Physics - Theory Strongly Correlated Electrons 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. |
| title | Resurgence Analysis of the Nambu-Jona-Lasinio model at large charge |
| topic | High Energy Physics - Theory Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2505.21631 |