On the universal critical behavior in 3-flavor QCD
- We analyze the universal critical behavior at the chiral critical point in QCD with three degenerate quark masses. We confirm that this critical point lies in the universality class of the three dimensional Ising model. The symmetry of the Ising model, which is Z(2), is not directly realized in the QCD Hamiltonian. After making an ansatz for the magnetization- and energy-like operators as linear admixtures of the chiral condensate and the gluonic action, we determine several non-universal mixing and normalization constants. These parameters determine an unambiguous mapping of the critical behavior in QCD to that of the 3d-Ising model. We verify its validity by showing that the thus obtained orderparameter scales in accordance with the magnetic equation of state of the 3d-Ising model.
| Author: | Dominik Smith, Christian SchmidtORCiD |
|---|---|
| URN: | urn:nbn:de:hebis:30:3-274437 |
| ISSN: | 1824-8039 |
| ArXiv Id: | http://arxiv.org/abs/1109.6729 |
| 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)216 |
| 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: | 416425755 |
| 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 |
