A numerical reinvestigation of the Aoki phase with $N_f=2$ Wilson fermions at zero temperature
Please always quote using this URN: urn:nbn:de:0297-zib-7492
- We report on a numerical reinvestigation of the Aoki phase in lattice QCD with two flavors of Wilson fermions where the parity-flavor symmetry is spontaneously broken. For this purpose the Hybrid Monte Carlo algorithm was used and an explicit symmetry-breaking source term $h\bar{\psi} i \gamma_{5} \tau^{3}\psi$ was added to the Wilson fermion action. The order parameter $\langle\bar{\psi}i\gamma_{5}\tau^{3}\psi\rangle$ was studied at several values of $(\beta,\kappa,h)$ on lattices of sizes $4^4$ to $12^4$. Our largest lattices can be considered as infintely large allowing to extrapolate to $h=0$. The existence of a parity-flavor-breaking phase can be confirmed at $\beta=4.0$ and $\beta=4.3$ while we find no sign of parity-flavor-breaking at $\beta=4.6$ and $\beta=5.0$.
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| Author: | Ernst-Michael Ilgenfritz, Werner Kerler, Michael Müller-Preussker, André Sternbeck, Hinnerk Stüben |
|---|---|
| Document Type: | ZIB-Report |
| Tag: | Aoki phase; Wilson fermions; parity-flavor symmetry; phase diagram |
| Date of first Publication: | 2003/08/28 |
| Series (Serial Number): | ZIB-Report (03-27) |
| ZIB-Reportnumber: | 03-27 |
| Published in: | Appeared in: Phys. Rev. D69 (2004) 074511 |
