# QM 2011 - XXII International Conference on Ultrarelativistic Nucleus-Nucleus Collisions

May 22 – 28, 2011
Centre Bonlieu
Europe/Zurich timezone

## U(1)A anomaly effects on phase diagrams in chiral random matrix model

Not scheduled
Théâtre National (Centre Bonlieu)

### Théâtre National

#### Centre Bonlieu

France
Board: 155
Poster QCD phase diagram

### Speaker

Takashi Sano (University of Tokyo)

### Description

Incorporating the background instanton effects, we extend the chiral random matrix model to include the anomaly effect. The anomaly effect appears naturally as the flavor mixing determinant interaction terms, which are missed in the conventional random matrix models. Due to the determinant interaction terms, the model shows the second-order phase transition for two massless-quark flavors and the first-order for three light-quark flavors at finite temperatures. We investigate the phase diagram of this model at finite T/mu and furthermore at finite isospin and hypercharge chemical potentials. We find that the critical point exists on T-mu plane with physical quark masses. We also find that the determinant terms cause the mixing not only between the chiral condensates but also between the chiral and meson condensates, which results in an enlargement of the region where, for example, both of the pion and the strange-quark chiral condensates have finite values. The anomaly effects enrich the phase structure and we expect that this is also the case in QCD. References: Phys.Rev. D80 (2009) 034007. Phys.Rev. D81 (2010) 037502. Phys.Rev. D83 (2011) 014005.

### Primary author

Takashi Sano (University of Tokyo)

### Co-author

Prof. Hirotsugu Fujii (University of Tokyo)

### Presentation materials

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