Hidden Symmetries of Large N QCD

Details Hidden Symmetries of Large N QCD Hidden Symmetries of Large N QCD

1996-10-17

arxiv.org/abs/hep-th/9610126v1

Prog.Theor.Phys.Suppl.131:269-307,1998

Physics

High Energy Physics

High Energy Physics - Theory

40 pages, 1 Postscript figure, LaTeX

Scientific paper

10.1143/PTPS.131.269

The local SUSY symmetry of the loop dynamics of QCD is found. The remarkable thing is, there is no einbein-gravitino on this theory, which makes it a 1D topological supergravity, or locally SUSY quantum mechanics. Using this symmetry, we derive the large $N_c$ loop equation in momentum superloop space. Introducing as before the position operator $\X{\mu}$ we argue that the superloop equation is equivalent to invariance of correlation functions of products of these operators with respect to certain quadrilinear transformation. The applications to meson and glueball sectors as well as the chiral symmetry breaking are discussed. The 1D field theory with Quark propagating around the loop in superspace is constructed.

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