Year: 1994
Type: article
Abstract: A nonlocal and nonlinear theory of hadrons, equivalent to the color singlet sector of two-dimensional QCD, is constructed. The phase space of this theory is an infinite-dimensional Grassmannian. The baryon number of QCD corresponds to a topological invariant (“virtual rank”) of the Grassmannian. It is shown that the hadron theory has topological solitons corresponding to the baryons of QCD. [Formula: see text] plays the role of ħ in this theory; Nc must be an integer for topological reasons. We also describe the quantization of a toy model with a finite-dimensional Grassmannian as the phase space. In an appendix, we show that the usual Hartree-Fock theory of atomic and condensed matter physics has a natural formulation in terms of infinite-dimensional Grassmannians.
Author: S.G. RAJEEV
Institution: University of Rochester
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funder: U.S. Department of Energy
OpenAlex ID: W205891928