# Quark Matter 2014 - XXIV International Conference on Ultrarelativistic Nucleus-Nucleus Collisions

19-24 May 2014
Europe/Zurich timezone

## Inhomogeneous phases in 1+1 and 1+3 dimensional effective quark models

20 May 2014, 16:30
2h

### spectrum

Board: B-05
Poster QCD Phase Diagram

### Speaker

Mr Achim Heinz (ITP Frankfurt am Main)

### Description

Chiral symmetry is a symmetry of the QCD Lagrangian, which is spontaneously broken due to nonperturbative phenomena. As a con- sequence, a chiral condensate, which corresponds to a vacuum’s con- densate of quark-antiquark pairs, emerges. Usually, this condensate is treated as constant over space, but analytic as well as numerical stud- ies show that an inhomogenous condensation is favored at high density. However, in most cases it is not possible to calculate analytically the emergence of inhomogeneous condensation. Therefore it is important to improve numerical methods: in the talk, we present a new numerical approach which is capable to reproduce well-known analytic results in 1+1 as well as in 1+3 dimensions. We also outline which studies can be performed with this method in the near future.
On behalf of collaboration: None

### Primary author

Mr Achim Heinz (ITP Frankfurt am Main)

### Co-authors

Prof. Giacosa Francesco (ITP Frankfurt am Main) Prof. Marc Wagner (ITP Frankfurt am Main) Prof. Rischke Dirk H. (ITP Frankfurt am Main)

 Slides