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Article Dans Une Revue Physical Review Letters Année : 2020

Double-Scaling Limit in the Principal Chiral Model: A New Noncritical String?

Résumé

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.

Dates et versions

hal-02416894 , version 1 (17-12-2019)

Identifiants

Citer

Vladimir Kazakov, Evgeny Sobko, Konstantin Zarembo. Double-Scaling Limit in the Principal Chiral Model: A New Noncritical String?. Physical Review Letters, 2020, 124 (19), pp.191602. ⟨10.1103/PhysRevLett.124.191602⟩. ⟨hal-02416894⟩
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