English

Chiral Solitons

High Energy Physics - Phenomenology 2025-08-19 v2 High Energy Physics - Theory Nuclear Theory

Abstract

Generalizing quantum chromodynamics (QCD) from three to arbitrarily many color degrees of freedom suggests that baryons can be described as solitons in an effective meson theory whose interaction strength decreases with the number of colors. The exact form of that theory is unknown, but at low energies chiral symmetry and its breaking are considered as the construction recipes for modeling the theory. The Skyrmion is a static, localized solution in a non-linear field theory for pions and it is the most prominent version of a soliton in a chirally symmetric meson theory. Upon quantization it reproduces the spectrum of the low-lying baryons and their static properties reasonably well. Extending that theory by vector mesons improves on the agreement between predicted and empirical data. Chiral solitons within models for the quark flavor dynamics facilitate the investigation of nucleon structure functions. Here we provide a pedagogical overview of these facets.

Keywords

Cite

@article{arxiv.2503.20534,
  title  = {Chiral Solitons},
  author = {Herbert Weigel},
  journal= {arXiv preprint arXiv:2503.20534},
  year   = {2025}
}

Comments

24 pages, invited contribution to the Encyclopedia of Particle Physics, v2: edited for proof corrections

R2 v1 2026-06-28T22:35:09.427Z