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.
Action = v g w (<br />
mH<br />
m W<br />
)<br />
≫ 1,<br />
w(0) = 4π (in the BPS limit)<br />
To add up hedgehogs, one has first to comb their hair!<br />
‘Stringy’ <strong>or</strong> singular gauge<br />
The the<strong>or</strong>y is invariant under gauge transf<strong>or</strong>mations:<br />
φ = φ a τ a<br />
2<br />
A i = A a τ a<br />
i<br />
2<br />
→<br />
S(x)φS † (x),<br />
→ S(x)A i S † (x) + iS∂ i S † .<br />
Choose the unitary gauge-transf<strong>or</strong>mation matrix S(x) such that<br />
S(n · τ)S † = τ 3 =⇒ S(θ, φ) = e −iφ 2 τ 3<br />
e iθ 2 τ 2<br />
e iφ 2 τ 3<br />
.<br />
Confinement in the 3d Ge<strong>or</strong>gi–Glashow model D. Diakonov, L-12
Change language