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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 />

<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

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