The Approach to the Thermodynamic Limit in Lattice QCD at μ\neq0
| dc.creator | Splittorff, K. | |
| dc.creator | Verbaarschot, J. J. M. | |
| dc.date | 2007-09-14 | |
| dc.date.accessioned | 2026-07-07T11:19:20Z | |
| dc.date.available | 2026-07-07T11:19:20Z | |
| dc.description | The expectation value of the complex phase factor of the fermion determinant is computed to leading order in the $p$-expansion of the chiral Lagrangian. The computation is valid for $μ<m_π/2$ and determines the dependence of the sign problem on the volume and on the geometric shape of the volume. In the thermodynamic limit with $ L_i \to \infty $ at fixed temperature $1/L_0$, the average phase factor vanishes. In the low temperature limit where $L_i/L_0$ is fixed as $L_i$ becomes large the average phase factor approaches one. The results for a finite volume compare well with lattice results obtained by Allton {\it et al}.. After taking appropriate limits, we reproduce previously derived results for the $ε$-regime and for 1-dimensional QCD. The distribution of the phase itself is also computed. | |
| dc.description | 9 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/0709.2218 | |
| dc.identifier | http://arxiv.org/abs/0709.2218 | |
| dc.identifier | Phys.Rev.D77:014514,2008 | |
| dc.identifier | doi:10.1103/PhysRevD.77.014514 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/193648 | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | The Approach to the Thermodynamic Limit in Lattice QCD at μ\neq0 | |
| dc.type | text |