Transcript Document

7th Clay problem
Similar problem: cuprate superconductors
theory:
t-J model
problem:
no Cooper pairs
resolution(?): slave-boson decomposition
additional abelian compact U(1) gauge symmetry
abelian
-function - confines at short distance
Could this happen to quarks?
Could this also happen in Yang-Mills?
superfluid
density:
spin-charge
separation
vortex tubes and solitons
Hietarinta-Salo
experiment:
Leach et.al.
knotted solitons at “low coupling” – Maxwells theory
First two terms:
Maxwell:
Dirac:
E-M duality:
tentative simulations in YM:
Suggests
spin-charge
separation