Large-N Principal Chiral Model in Arbitrary External Fields

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 quantum field theory. The solution matches one-loop pe...

Full description

Saved in:
Bibliographic Details
Published in:Physical review letters 2024-04, Vol.132 (14), p.141602-141602, Article 141602
Main Authors: Kazakov, Vladimir, Sobko, Evgeny, Zarembo, Konstantin
Format: Article
Language:English
Subjects:
High Energy Physics - Theory
Physics
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 quantum field theory. 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.
ISSN:0031-9007
1079-7114
1079-7114
DOI:10.1103/PhysRevLett.132.141602