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
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
Hence<br />
∫ { ∫<br />
Z = Dw exp −<br />
d 3 x<br />
[<br />
( )]}<br />
1<br />
4π<br />
2 (∂ iw) 2 − 2ζ cos<br />
g w .<br />
( ) 4π<br />
−2ζ cos<br />
g w<br />
≃ −2ζ + 1 2 µ2 w 2 ,<br />
µ 2 = 2ζ<br />
( 4π<br />
g<br />
) 2<br />
Debye mass!<br />
The plasma partition function is mathematically equivalent to the ‘Sine-G<strong>or</strong>don’ field<br />
the<strong>or</strong>y. The field w has the meaning <strong>of</strong> the <strong>dual</strong> potential: it gets a nonzero mass owing<br />
to the Debye screening in the monopole plasma.<br />
Z = exp<br />
⎧<br />
⎪⎨<br />
⎪⎩ 2ζV + 1<br />
12π<br />
[<br />
2ζ<br />
( 4π<br />
g<br />
⎫<br />
)<br />
]3<br />
2 2 ⎪⎬<br />
V + . . .<br />
⎪⎭<br />
Confinement in the 3d Ge<strong>or</strong>gi–Glashow model D. Diakonov, L-12
Change language