The QCD Phase Diagram - Theory Center
The QCD Phase Diagram - Theory Center
The QCD Phase Diagram - Theory Center
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Introduction to <strong>QCD</strong> -<br />
<strong>Center</strong> Symmetry and Confinement (I)<br />
boundary conditions at finite temperature:<br />
q(t + 1/T ,x) = −q(t,x), Aµ(t + 1/T ,x) = Aµ(t,x)<br />
this constrains the possible gauge transformations g(t + 1/T ,x) = h g(t,x)<br />
gluons respect the Z(SU(3)) center symmetry:<br />
A ′ µ (t + 1/T ,x) = h A′ µ (t,x) h† ⇒ h = z1, z = exp(i2πn/3), n = 1, 2, 3<br />
dynamical quarks break center symmetry:<br />
q ′ (t + 1/T ,x) = g(t + 1/T ,x) q(t + 1/T ,x) = −z g(t,x) q(t,x) = −z q ′ (t,x)<br />
1.November 2012 | TU Darmstadt - SE Rel. Schwerionenphysik | Ralf-Arno Tripolt | 20
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