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arXiv · 2312.04801

Large-N Principal Chiral Model in Arbitrary External Fields

Vladimir Kazakov·Evgeny Sobko·Konstantin Zarembo
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Abstract

We report the explicit solution for the vacuum state of the two-dimensional $SU(N)$ Principal Chiral Model at large-$N$ 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 $SU(N)$ Dynkin diagram.

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Vladimir Kazakov, Evgeny Sobko, Konstantin Zarembo. 2023-12-08. Large-N Principal Chiral Model in Arbitrary External Fields. https://arxiv.org/abs/2312.04801

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