QCD phase transition in the early universe - Theory Center
QCD phase transition in the early universe - Theory Center
QCD phase transition in the early universe - Theory Center
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Overview – <strong>QCD</strong> – F<strong>in</strong>ite Temperature <strong>QCD</strong> – Unsettled Issues: Trace anomaly – Early Universe - Summary<br />
Orig<strong>in</strong> of <strong>the</strong> Trace Anomaly<br />
● Only one <strong>in</strong>dependent <strong>the</strong>rmodynamic quantity<br />
p= T<br />
V ln Z =T 2 ∂<br />
∂T<br />
● Re-express everyth<strong>in</strong>g by trace anomaly<br />
p<br />
● Only a term l<strong>in</strong>ear <strong>in</strong> T can contribute<br />
to p but not to ε<br />
p<br />
T<br />
● Perturbation <strong>the</strong>ory cannot provide such a term<br />
<strong>QCD</strong> Phase Transition(s) & The Early Universe/Axel Maas<br />
∞<br />
T 4 =c SB −∫ T<br />
dT <br />
T 5<br />
<br />
=−3 p=T 5 ∂<br />
∂T<br />
∞<br />
T 4 =3c SB −∫ T<br />
[Follow<strong>in</strong>g Zwanziger, 2004]<br />
dT 1<br />
T 3<br />
p<br />
T 4<br />
∂<br />
∂T<br />
<br />
T