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
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
Unusual: div B 3 = −4πρ, curl B 3 = 0 (!)<br />
The ‘kinetic energy’ <strong>of</strong> monopole density is nothing but the magnetic energy:<br />
Hence<br />
∫<br />
− d 3 x 1 2<br />
( 4π<br />
g<br />
) 2<br />
ρ 1 △ ρ = 1 ∫<br />
∫<br />
d 3 1<br />
xB<br />
2g 2 i ∂ i<br />
△ ∂ jB j = d 3 x B iB i<br />
2g . 2<br />
∫<br />
∫<br />
Z = DB i δ(curlB) Dψ exp d 3 x<br />
[<br />
]<br />
− B2<br />
2g + idivB 2 4π ψ + 2ζ cos ψ .<br />
Confinement (= Area law f<strong>or</strong> large Wilson loops<br />
Wilson loop<br />
∮<br />
W = Tr P exp i<br />
dx i A a i<br />
τ a<br />
2 .<br />
Confinement in the 3d Ge<strong>or</strong>gi–Glashow model D. Diakonov, L-12
Change language