Resurgence analysis of the Nambu-Jona-Lasinio model at large charge
A bstract 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 /(2 N ). 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 in terms of the worldline of particles moving along the geodesics on the cylinder.
Authors
- Domenico Orlando (ORCID: https://orcid.org/0000-0002-9023-7241)
- Jahmall Bersini (ORCID: https://orcid.org/0000-0001-5176-915X)
- Simeon Hellerman (ORCID: https://orcid.org/0009-0004-9817-6609)
- Susanne Reffert (ORCID: https://orcid.org/0000-0001-5034-028X)
Institutions
- University of Bern (CH)
- Istituto Nazionale di Fisica Nucleare, Sezione di Torino (IT)
- The University of Tokyo (JP)
Publication Details
- Journal
- Journal of High Energy Physics
- Published
- 2025-09-18
- DOI
- https://doi.org/10.1007/jhep09(2025)159
- Primary Topic
- Quantum Chromodynamics and Particle Interactions
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- Ministry of Education, Culture, Sports, Science and Technology
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
- Yukawa Institute for Theoretical Physics, Kyoto University
- Stony Brook University
- Japan Society for the Promotion of Science
- Kavli Institute for Theoretical Physics, University of California, Santa Barbara