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相关论文: Staggered eigenvalue mimicry

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We perform a comparative study of the infrared properties of overlap and staggered fermions in QCD. We observe that the infrared spectrum of the APE/HYP improved staggered Dirac operator develops a four-fold near-degeneracy and is in…

高能物理 - 格点 · 物理学 2009-11-10 S. Dürr , Ch. Hoelbling , U. Wenger

The spectral properties of a variety of improved staggered operators are studied in quenched QCD. The systematic dependence of the infrared eigenvalue spectrum on i) improvement in the staggered operator, ii) improvement in the gauge field…

高能物理 - 格点 · 物理学 2009-11-10 Kit Yan Wong , R. M. Woloshyn

Complete spectra of the staggered Dirac operator $\Dirac$ are determined in four-dimensional $SU(2)$ gauge fields with and without dynamical fermions. An attempt is made to relate the performance of multigrid and conjugate gradient…

高能物理 - 格点 · 物理学 2009-10-22 Thomas Kalkreuter

We measure the low lying eigenmodes of an overlap Dirac operator on 2--flavor staggered configurations. By comparing the eigenmode distribution to the predictions of Random Matrix Theory we test to what accuracy staggered configurations…

高能物理 - 格点 · 物理学 2008-11-26 Anna Hasenfratz , Roland Hoffmann

We investigate general properties of the eigenvalue spectrum for improved staggered quarks. We introduce a new chirality operator $[\gamma_5 \otimes 1]$ and a new shift operator $[1 \otimes \xi_5]$, which respect the same recursion relation…

We study various improved staggered quark Dirac operators on quenched gluon backgrounds in lattice QCD. We find a clear separation of the spectrum of eigenvalues into high chirality, would-be zero modes and others, in accordance with the…

高能物理 - 格点 · 物理学 2015-06-25 E. Follana , A. Hart , C. T. H. Davies

A way to identify the would-be zero-modes of staggered lattice fermions away from the continuum limit is presented. Our approach also identifies the chiralities of these modes, and their index is seen to be determined by gauge field…

高能物理 - 格点 · 物理学 2010-04-14 David H. Adams

We study various improved staggered quark Dirac operators on quenched gluon backgrounds in lattice QCD generated using a Symanzik-improved gluon action. We find a clear separation of the spectrum of eigenvalues into would-be zero modes and…

高能物理 - 格点 · 物理学 2009-11-10 E. Follana

We study various improved staggered quark Dirac operators on quenched gluon backgrounds in lattice QCD generated using a Symanzik-improved gluon action. We find a clear separation of the spectrum into would-be zero modes and others. The…

高能物理 - 格点 · 物理学 2008-11-26 E. Follana , A. Hart , C. T. H. Davies

We extend the spectral projectors method to staggered fermions. Applying the index theorem to the staggered Dirac operator it is possible to work out an expression for the topological susceptibility which depends only on the orthogonal…

高能物理 - 格点 · 物理学 2019-12-25 Claudio Bonanno , Giuseppe Clemente , Massimo D'Elia , Francesco Sanfilippo

Based on a large number of smearing steps, we classify SU(3) gauge field configurations in different topological sectors. For each sector we compare the exact analytical predictions for the microscopic Dirac operator spectrum of quenched…

高能物理 - 格点 · 物理学 2008-11-26 P. H. Damgaard , U. M. Heller , R. Niclasen , K. Rummukainen

We classify SU(3) gauge field configurations in different topological sectors by the smearing technique. In each sector we compute the distribution of low lying eigenvalues of the staggered Dirac operator. In all sectors we find perfect…

高能物理 - 格点 · 物理学 2015-06-25 P. H. Damgaard , U. M. Heller , R. Niclasen , K. Rummukainen

Staggered fermion shift symmetries correspond to translations of the fermion field within the unit cell of a hypercubic lattice. They satisfy an algebra and in four Euclidean dimensions can be related to a discrete subgroup of an $SU(4)$…

高能物理 - 格点 · 物理学 2024-10-08 Simon Catterall , Arnab Pradhan

We investigate the eigenvalue spectrum of the staggered Dirac matrix in two-color QCD at nonzero temperature and at baryon density when the eigenvalues become complex. The quasi-zero modes and their role for chiral symmetry breaking and the…

高能物理 - 唯象学 · 物理学 2007-05-23 Elmar Bittner , Maria-Paola Lombardo , Harald Markum , Rainer Pullirsch

Complete spectra of the staggered Dirac operator $\Dirac$ are determined in quenched four-dimensional $SU(2)$ gauge fields, and also in the presence of dynamical fermions. Periodic as well as antiperiodic boundary conditions are used. An…

高能物理 - 格点 · 物理学 2009-10-22 Thomas Kalkreuter

We study the eigenvalues of Dirac operators in QCD with two mass degenerate dynamical fermions. The gauge configurations have been obtained with HMC and the so-called Chirally Improved fermionic action. We compare eigenvalues obtained for…

高能物理 - 格点 · 物理学 2009-04-14 Martina Joergler , C. B. Lang

We investigate and clarify the role of topology and the issues surrounding the epsilon regime for staggered quarks. We study unimproved and improved staggered quark Dirac operators on quenched lattice QCD gluon backgrounds generated using a…

高能物理 - 格点 · 物理学 2009-11-11 E. Follana , A. Hart , C. T. H. Davies , Q. Mason

We analyze the eigenvalue spectrum of the staggered Dirac matrix in two-color QCD at nonzero baryon density when the eigenvalues become complex. The quasi-zero modes and their role for chiral symmetry breaking and the deconfinement…

高能物理 - 格点 · 物理学 2009-10-31 Elmar Bittner , Maria-Paola Lombardo , Harald Markum , Rainer Pullirsch

We consider $4d$ compact lattice QED in the quenched approximation. First, we briefly summarize the spectrum of the staggered Dirac operator and its connection with random matrix theory. Afterwards we present results for the low-lying…

高能物理 - 格点 · 物理学 2008-11-26 Bernd A. Berg , Urs M. Heller , Harald Markum , Rainer Pullirsch , Wolfgang Sakuler

We study chiral properties of eigenvalue spectrum for staggered quarks. We present a new method to identify would-be zero modes and nonzero modes using their symmetry and chiral properties. Here, we review the traditional method with HYP…

高能物理 - 格点 · 物理学 2020-01-22 Hwancheol Jeong , Chulwoo Jung , Sunghee Kim , Weonjong Lee , Jeonghwan Pak
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