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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∫<br />
∫ [<br />
( ) ]<br />
= DρDµDw exp − d 3 1 4π<br />
x<br />
2 (∂ iw) 2 −2ζ cos<br />
g w − µ −iµρ .<br />
New variables: 4π g w − µ = ψ;<br />
4π<br />
g<br />
w + µ = φ ←−integrate over<br />
Z =<br />
∫ ∫<br />
DρDψ exp<br />
d 3 x<br />
[<br />
1<br />
2<br />
( 4π<br />
g<br />
) 2<br />
ρ 1 △ ρ−iψρ+2ζ cos ψ ]<br />
=<br />
∫<br />
∫<br />
Dρ exp<br />
d 3 x<br />
[<br />
1<br />
2<br />
( 4π<br />
g<br />
) 2<br />
ρ 1 △ ρ − V (ρ) ]<br />
V (ρ) = ρ ln<br />
(<br />
ρ<br />
2ζ + √<br />
1 + ρ2<br />
4ζ 2 )<br />
+ 2ζ<br />
√<br />
1 + ρ2<br />
4ζ 2<br />
ρ≪ζ<br />
−→<br />
−2ζ + ρ2<br />
4ζ<br />
Confinement in the 3d Ge<strong>or</strong>gi–Glashow model D. Diakonov, L-12
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