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

G. Akemann; Poul Henrik Damgaard; Kim Splittorff; J.J.M. Verbaarschot

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

G. Akemann, Poul Henrik Damgaard, Kim Splittorff, J.J.M. Verbaarschot

1 Citation (Scopus)

Abstract

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.

Original language	English
Journal	P o S - Proceedings of Science
Volume	079
Number of pages	7
ISSN	1824-8039
Publication status	Published - 1 Nov 2010

Cite this

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title = "effects of dynamical quarks on the spectrum of the Wilson Dirac operator",

abstract = "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.",

author = "G. Akemann and Damgaard, {Poul Henrik} and Kim Splittorff and J.J.M. Verbaarschot",

year = "2010",

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language = "English",

volume = "079",

journal = "P o S - Proceedings of Science",

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TY - JOUR

T1 - effects of dynamical quarks on the spectrum of the Wilson Dirac operator

AU - Akemann, G.

AU - Damgaard, Poul Henrik

AU - Splittorff, Kim

AU - Verbaarschot, J.J.M.

PY - 2010/11/1

Y1 - 2010/11/1

N2 - 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.

AB - 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.

M3 - Journal article

SN - 1824-8039

VL - 079

JO - P o S - Proceedings of Science

JF - P o S - Proceedings of Science

ER -

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

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