Towards finite density QCD with Taylor expansions
- We analyze general convergence properties of the Taylor expansion of observables to finite chemical potential in the framework of an effective 2+1 flavor Polyakov-quark-meson model. To compute the required higher order coefficients a novel technique based on algorithmic differentiation has been developed. Results for thermodynamic observables as well as the phase structure obtained through the series expansion up to 24th order are compared to the full model solution at finite chemical potential. The available higher order coefficients also allow for resummations, e.g. Padé series, which improve the convergence behavior. In view of our results we discuss the prospects for locating the QCD phase boundary and a possible critical endpoint with the Taylor expansion method.
| Author: | Frithjof Karsch, Bernd-Jochen Schaefer, Marc WagnerORCiDGND, Jochen WambachORCiDGND |
|---|---|
| URN: | urn:nbn:de:hebis:30:3-274820 |
| ISSN: | 1824-8039 |
| ArXiv Id: | http://arxiv.org/abs/1110.6038 |
| Parent Title (English): | Proceedings of Science |
| Publisher: | Scuola Internazionale Superiore di Studi Avanzati |
| Place of publication: | Trieste |
| Document Type: | Conference Proceeding |
| Language: | English |
| Year of Completion: | 2012 |
| Year of first Publication: | 2011 |
| Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
| Release Date: | 2012/12/14 |
| Volume: | 2011 |
| Issue: | (Lattice 2011)219 |
| Page Number: | 7 |
| First Page: | 1 |
| Last Page: | 7 |
| Note: | XXIX International Symposium on Lattice Field Theory July 10-16, 2011 Squaw Valley, Lake Tahoe, California |
| HeBIS-PPN: | 416425410 |
| Institutes: | Physik / Physik |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
| Sammlungen: | Universitätspublikationen |
| Licence (German): |  Creative Commons - Namensnennung-Keine kommerzielle Nutzung-Weitergabe unter gleichen Bedingungen |
