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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φ ′ = S φ S † = τ 3<br />
2 v Φ(r) → τ 3<br />
2 v,<br />
A ′ i<br />
=<br />
⎧<br />
⎨<br />
⎩<br />
A ′ r<br />
= 0<br />
A ′ θ<br />
= only inside c<strong>or</strong>e<br />
A ′ φ<br />
= inside c<strong>or</strong>e ∓ τ 3 1−cos θ<br />
2r sin θ .<br />
Magnetic field strength outside the monopole c<strong>or</strong>e at r ≫ 1/m W :<br />
B ′ r = ( curl A ′) r = 1<br />
r sin θ<br />
∂<br />
∂θ<br />
( )<br />
sin θ A ′ φ<br />
= ± τ 3<br />
2r 2.<br />
string singularity<br />
(gauge artifact)<br />
magnetic field<br />
<strong>of</strong> a monopole<br />
Confinement in the 3d Ge<strong>or</strong>gi–Glashow model D. Diakonov, L-12