t Hooft mechanism of confinement or dual Meissner effect
t Hooft mechanism of confinement or dual Meissner effect
t Hooft mechanism of confinement or dual Meissner effect
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Best dreams fulfilled! [A. Polyakov, Nucl. Phys. B (1977)]. However,<br />
i) d = 2 + 1 and ii) the gauge group SU(2) is explicitly broken by the Higgs field down<br />
to U(1) where the <strong>dual</strong> photon gets the mass.<br />
M<strong>or</strong>e recent achievements:<br />
• N = 2, d = 3 + 1 supersymmetric the<strong>or</strong>y, s<strong>of</strong>tly broken to N = 1 supersymmetric<br />
the<strong>or</strong>y. It is also shown to possess <strong>confinement</strong> and mass gap – m<strong>or</strong>e <strong>or</strong> less due to<br />
the same <strong>mechanism</strong> (<strong>of</strong> monopole condensation) [Seiberg and Witten (1994), Douglas<br />
and Shenker (1995)]<br />
• pure Yang–Mills d = 3 + 1 non-supersymmetric the<strong>or</strong>y [D.D. and Petrov (2007)] is<br />
also shown to possess <strong>confinement</strong>, at least at the semiclassical level!<br />
Confinement in the 3d Ge<strong>or</strong>gi–Glashow model D. Diakonov, L-12
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