Fetching the paper…

Reading the bibliography…

Wilson Fermions, Random Matrix Theory and the Aoki Phase · Around

2010

Wilson Fermions, Random Matrix Theory and the Aoki Phase

Akemann, G., Damgaard, P. H., Splittorff, K. et al.

Original
PDF
Post on X

Understand

The QCD partition function for the Wilson Dirac operator, $D_W$, at nonzero lattice spacing $a$ can be expressed in terms of a chiral Lagrangian as a systematic expansion in the quark mass, the momentum and $a^2$.

Starting from this chiral Lagrangian we obtain an analytical expression for the spectral density of $\gamma_5 (D_W+m)$ in the microscopic domain.
It is shown that the $\gamma_5$-Hermiticity of the Dirac operator necessarily leads to a coefficient of the $a^2$ term that is consistent with the existence of an Aoki phase.
The transition to the Aoki phase is explained, and the interplay of the index of $D_W$ and nonzero $a$ is discussed.

Built on

J. Gasser and H. Leutwyler, Phys. Lett. B 184
1987
Earlier work this paper cites.
E. V. Shuryak and J. J. M. Verbaarschot, Nucl. Phys. A 560
1994
Earlier work this paper cites.
S. R. Sharpe and R. L. Singleton, Phys. Rev. D 58
1998
Earlier work this paper cites.
P. H. Damgaard, J. C. Osborn, D. Toublan and J. J. M. Verbaarschot, Nucl. Phys. B 547
1999
Earlier work this paper cites.
R. Kaiser and H. Leutwyler, Eur. Phys. J. C 17
2000
Earlier work this paper cites.

Similar

G. Rupak and N. Shoresh, Phys. Rev. 66
2002
Cited alongside, same era.
O. Bar, G. Rupak and N. Shoresh, Phys. Rev. D 70
2004
Cited alongside, same era.
K. Splittorff and J. J. M. Verbaarschot, Nucl. Phys. B 683
2004
Cited alongside, same era.
M. Golterman, S. R. Sharpe and R. L. Singleton, Phys. Rev. D 71
2005
Cited alongside, same era.
G. Akemann, P. H. Damgaard, K. Splittorff and J. J. M. Verbaarschot, to be submitted
Cited in the paper.
G. Akemann, P. H. Damgaard, K. Splittorff and J. J. M. Verbaarschot, this volume
Original
Cited in the paper.

Then

S. R. Sharpe, Phys. Rev. D 74
2006
Later among the works it cites.
L. Del Debbio, L. Giusti, M. Luscher, R. Petronzio and N. Tantalo, JHEP 0602
2007
Later among the works it cites.
M. Luscher, JHEP 0707
Original
2007
Later among the works it cites.
P. H. Damgaard, K. Splittorff and J. J. M. Verbaarschot, Phys. Rev. Lett. 105
Original
2010
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…