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VOL. 2 | 2001 Classical Mechanics on Grassmannian and Disc
A. Konechny, S. G. Rajeev, O. T. Turgut

Editor(s) Ivaïlo M. Mladenov, Gregory L. Naber

## Abstract

In these notes, we will discuss from a purely geometric point of view classical mechanics on certain type of Grassmannians and discs. We will briefly discuss a superversion which in some sense combines these two models, and corresponds to the large-$N_c$ limit of $SU(N_c)$ gauge theory with fermionic and bosonic matter fields, both in the fundamental representation, in $1 + 1$ dimensions [12]. This result is a natural extension of ideas in [16]. There it has been shown that the large-$N_c$ phase space of $1+1$ dimensional QCD is given by an infinite dimensional Grassmannian. The complex scalar field version of this theory is worked out in [18] and it is shown that the phase space is an infinite dimensional disc.

## Information

Published: 1 January 2001
First available in Project Euclid: 5 June 2015

zbMATH: 1062.37051
MathSciNet: MR1815639

Digital Object Identifier: 10.7546/giq-2-2001-181-207

Rights: Copyright © 2001 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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Vol. 2 • 1 January 2001