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Updated: Dec 20, 2025

Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Double-Scaling Limit in the Principal Chiral Model: A New Noncritical String?
Vladimir Kazakov1, Evgeny Sobko2, Konstantin Zarembo3
1Laboratoire de physique de l'École normale supérieure, ENS, Université PSL, CNRS, Sorbonne Université, Université Paris-Diderot, Sorbonne Paris Cité, 24 rue Lhomond, 75005 Paris, France and Theoretical Physics Department, CERN, 1211 Geneva 23, Switzerland.
Abstract:
We initiate a systematic, non-perturbative study of the large-N expansion in the two-dimensional SU(N)×SU(N) principal Chiral model (PCM). Starting with the known infinite-N solution for the ground state at fixed chemical potential, we devise an iterative procedure to solve the Bethe ansatz equations order by order in 1/N. The first few orders, which we explicitly compute, reveal a systematic enhancement pattern at strong coupling calling for the near-threshold resummation of the large-N expansion. The resulting double-scaling limit bears striking similarities to the c=1 noncritical string theory and suggests that the double-scaled PCM is dual to a noncritical string with a (2+1)-dimensional target space where an additional dimension emerges dynamically from the SU(N) Dynkin diagram.
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