Mithat Unsal, SLAC
Confinement, Duality and Magnetic Bions in QCD
December 10, 2007

I will describe the microscopic mechanism of confinement in
a locally four dimensional SU(2) QCD with adjoint fermions
compactified on $S^1 \times R^{2,1}$.
The duality and index theorems plays a significant role in the derivation.  The
properties such as mass gap, confinement, and chiral symmetry breaking
which we would associate with emergence,  are manifest or easy to
derive upon the duality transform.  The solution reveals a new
mechanism of confinement.
If the  magnetic charge  of the monopole is normalized to unity, I
show that confinement occurs due to  condensation of objects with
magnetic charge two (bions), not one.
 In fact, the monopole condensation in this theory is ruled out by
index theorems.
The constituents of this pair interact repulsively by Coulomb's law.
However, an attraction which overcomes the Coulomb repulsion between
the two is induced  by fermion pair exchange. I draw analogies with condensed
matter systems. At the end, (if time permits), I will describe briefly
QCD with fundamental fermions, and introduce some new techniques
which may teach us the inner goings-on of this theory as well.