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

Gernot Akemann; Poul H. Damgaard; Kim Splittorff; Jac Verbaarschot

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

Gernot Akemann
, Poul H. Damgaard
, Kim Splittorff
, Jac Verbaarschot

Physics and Astronomy

Brunel University London
University of Copenhagen

Research output: Contribution to journal › Conference article › peer-review

1 Scopus citations

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	Proceedings of Science
Volume	105
State	Published - 2010
Event	28th International Symposium on Lattice Field Theory, Lattice 2010 - Villasimius, Sardinia, Italy Duration: Jun 14 2010 → Jun 19 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 = "Gernot Akemann and Damgaard, \{Poul H.\} and Kim Splittorff and Jac Verbaarschot",

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AU - Akemann, Gernot

AU - Damgaard, Poul H.

AU - Splittorff, Kim

AU - Verbaarschot, Jac

N1 - Publisher Copyright: © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.

PY - 2010

Y1 - 2010

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.

UR - https://www.scopus.com/pages/publications/85055325143

M3 - Conference article

AN - SCOPUS:85055325143

SN - 1824-8039

VL - 105

JO - Proceedings of Science

JF - Proceedings of Science

T2 - 28th International Symposium on Lattice Field Theory, Lattice 2010

Y2 - 14 June 2010 through 19 June 2010

ER -

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

Abstract

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