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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σ = g2 µ<br />
= 2g √<br />
2ζ,<br />
2π 2 π<br />
prop<strong>or</strong>tional to the square root <strong>of</strong> the mean monopole density N/V = 2ζ.<br />
No massless states are left in the the<strong>or</strong>y. F<strong>or</strong> example, consider the c<strong>or</strong>relation function <strong>of</strong><br />
the magnetic field (in momentum space):<br />
< B 3 i (p)B3 j (−p) ><br />
(<br />
= g 2 δ ij − p )<br />
ip j<br />
+ (4π) 2 N p i p j<br />
p 2 V p − N<br />
4 (4π)2 V<br />
µ 2 p i p j<br />
p 2 + µ 2 p 4<br />
= g 2 (<br />
δ ij −<br />
p )<br />
(<br />
ip j<br />
4π<br />
, Debye mass : µ 2 = 2ζ<br />
p 2 + µ 2 g<br />
) 2<br />
.<br />
Confinement in the 3d Ge<strong>or</strong>gi–Glashow model D. Diakonov, L-12
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