English

Large-N Principal Chiral Model in Arbitrary External Fields

High Energy Physics - Theory 2023-12-11 v1

Abstract

We report the explicit solution for the vacuum state of the two-dimensional SU(N)SU(N) Principal Chiral Model at large-NN for an arbitrary set of chemical potentials and any interaction strength, a unique result of such kind for an asymptotically free QFT. The solution matches one-loop perturbative calculation at weak coupling, and in the opposite strong-coupling regime exhibits an emergent spacial dimension from the continuum limit of the SU(N)SU(N) Dynkin diagram.

Keywords

Cite

@article{arxiv.2312.04801,
  title  = {Large-N Principal Chiral Model in Arbitrary External Fields},
  author = {Vladimir Kazakov and Evgeny Sobko and Konstantin Zarembo},
  journal= {arXiv preprint arXiv:2312.04801},
  year   = {2023}
}

Comments

5 pages, 1 figure

R2 v1 2026-06-28T13:44:41.612Z