Large-N Principal Chiral Model in Arbitrary External Fields
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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