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Effects of dynamical quarks on the spectrum of the Wilson Dirac operator · Around

2010

Effects of dynamical quarks on the spectrum of the Wilson Dirac operator

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

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Effects of dynamical quarks on the microscopic spectrum of the Wilson Dirac operator are analyzed by means of effective field theory.

We consider the distributions of the real modes of the Wilson Dirac operator as well as the spectrum of the Hermitian Wilson Dirac operator, and work out the case of one flavor in all detail.
In contrast to the quenched case, the theory has a mild sign problem that manifests itself by giving a spectral density that is not positive definite as the spectral gap closes.

Built on

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K. M. Bitar, U. M. Heller and R. Narayanan, Phys. Lett. B 418
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Similar

P. H. Damgaard and S. M. Nishigaki, Nucl. Phys. B 518
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1998
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P. H. Damgaard, J. C. Osborn, D. Toublan and J. J. M. Verbaarschot, Nucl. Phys. B 547
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Cited alongside, same era.
P. H. Damgaard and K. Splittorff, Phys. Rev. D 62
2000
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S. R. Sharpe and R. L. Singleton, Phys. Rev. D 58
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Cited alongside, same era.

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
2006
Later among the works it cites.
P. H. Damgaard, K. Splittorff and J. J. M. Verbaarschot, Phys. Rev. Lett. 105
2010
Closest in time.
O. Bar, S. Necco and S. Schaefer, JHEP 0903
2010
Closest in time.

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