Quarks as topological defects or what is confined inside a hadron?
Abstract
We present a picture of confinement based on representation of quarks as pointlike topological defects. The topological charge carried by quarks and confined in hadrons is explicitly constructed in terms of Yang - Mills variables. In 2+1 dimensions we are able to construct a local complex scalar field , in terms of whichthe topological charge is . The VEV of the field in the confining phase is nonzero and the charge is the winding number corresponding to homotopy group . Qurks carry the charge and therefore are topological solitons. The effective Lagrangian for is derived in models with adjoint and fundamental quarks. In 3+1 dimensions the explicit expression for and therefore a detailed picture is not available. However, assuming the validity of the same mechanism wepoint out several interesting qualitative consequences. We argue that in the Georgi - Glashow model or any grand unified model the photon (in the Higgs phase) should have a small nonperturbative mass and should be confined although with small string tension.
Keywords
Cite
@article{arxiv.hep-th/9212024,
title = {Quarks as topological defects or what is confined inside a hadron?},
author = {A. Kovner and B. Rosenstein},
journal= {arXiv preprint arXiv:hep-th/9212024},
year = {2015}
}
Comments
45 pages, 1 figure available on request