1. Pier Oddone, Erice, September 2010
Chiral magnetic effect
The phases of QCD
A window into the Quark Gluon Plasma?
Pier Oddone, Erice, September 2010

2. QCD symmetries and anomaly
QCD has approximate chiral symmetry
is anomalous current generating
Pier Oddone, Erice, September 2010

3. Pier Oddone, Erice, September 2010
From chirally symmetric state , get:
Pier Oddone, Erice, September 2010

4. QCD vacuum classical and at high T
Classical vacuum is pure gauge
Pier Oddone, Erice, September 2010

5. Pier Oddone, Erice, September 2010
The QCD sphaleron
Transitions due to instantons are quite small, because of the tunneling exponent.
Sphaleron height equals so for T higher : no suppression:
Pier Oddone, Erice, September 2010

6. The Chiral Magnetic Effect
Pier Oddone, Erice, September 2010

7. Compare to Ohmic current
This equation is time reversal non-variant, in contrast to:
A non-dissipative current! Like the supercurrent in
(London eqn for
Supercondensate n_s)
London eqn
Pier Oddone, Erice, September 2010

8. Pier Oddone, Erice, September 2010

9. Observable and Experiment
Voloshin, 2004
Parity even correlation (!)
Star data 2009, however: BACKGROUND, see talk by Jacopo Margutti: background difficult to estimate.

10. Pier Oddone, Erice, September 2010
The magnetic field: life time (Skokov et al, 2009)
For the flux to survive in the QGP phase need for electric
conductivity (lattice simulations by Aarts, 2014)
Pier Oddone, Erice, September 2010

11. Conclusion: CME effect seen in Dirac metals, but not (yet) in QGP
Reviews by Dima Kharzeev
Jinfeng Liao, QM 2015
Magnetic fields:
S. Skokov et al.:arXiv:
Dima
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Pier Oddone, Erice, September 2010