Large-N Principal Chiral Model in Arbitrary External Fields - Archive ouverte HAL Access content directly
Journal Articles Physical Review Letters Year : 2024

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.

Dates and versions

hal-04354199 , version 1 (19-12-2023)

Identifiers

Cite

Vladimir Kazakov, Evgeny Sobko, Konstantin Zarembo. Large-N Principal Chiral Model in Arbitrary External Fields. Physical Review Letters, 2024, 132 (14), pp.141602. ⟨10.1103/PhysRevLett.132.141602⟩. ⟨hal-04354199⟩
27 View
0 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More