Speaker
Achim Heinz
(ITP Frankfurt am Main)
Description
Effective hadronic models have been widely used to describe the chiral
phase transition. In this work we study the behavior of the critical
temperature T_c for the restoration of chiral symmetry as function of
the number N_c of colors. We find that T_c increases with Sqrt[N_c];
this scaling contradicts the basic expectations for the chiral phase
transition which, just as the deconfinement phase transition, should be independent of N_c. Indeed, in chiral models with quark degrees of
freedom T_c scales as N_c^0, as expected. We have modified a hadronic
linear sigma model by including a temperature-dependent coupling
constant in such a way that the expected large-N_c scaling is recovered. Consequences for the phase diagram are investigated. Finally, we have coupled the linear sigma model to a Polyakov loop in such a way that the chiral phase transition is triggered by the deconfinement phase transition. Also in this case the correct large-N_c results are recovered.
Primary author
Achim Heinz
(ITP Frankfurt am Main)
Co-authors
Prof.
Dirk Rischke
(ITP Frankfurt am Main)
Dr
Franesco Giacosa
(ITP Frankfurt am Main)
