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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Average monopole density:<br />
¯N<br />
V = 1 V<br />
∂ ln Z<br />
∂ ln ζ<br />
= 2ζ + Coulomb c<strong>or</strong>rections<br />
In the weak-coupling regime g ≪ v monopoles are heavy, their density is small, everything<br />
is under control, this the<strong>or</strong>y becomes exact!<br />
Other ways to present plasma<br />
Z = ∑ N ±<br />
ζ N + +N −<br />
N + !N − !<br />
×<br />
∫<br />
Dρ(x) δ<br />
∏<br />
∫<br />
m<br />
d 3 z m e −4π ∑<br />
g 2<br />
qmqn<br />
|zm−zn|<br />
(<br />
ρ − ∑ )<br />
q m δ(x − z m )<br />
δ(...) =<br />
∫<br />
Dµ(x) exp<br />
[ ∫<br />
i<br />
d 3 x µρ − i ∑ ]<br />
q m µ(z m )<br />
Confinement in the 3d Ge<strong>or</strong>gi–Glashow model D. Diakonov, L-12
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