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We consider properties of zero and near-zero fermionic modes in lattice gluodynamics. The modes are known to be sensitive to the topology of the underlying gluonic fields in the quantum vacuum state of the gluodynamics. We find evidence…

High Energy Physics - Lattice · Physics 2009-11-11 F. V. Gubarev , S. M. Morozov , M. I. Polikarpov , V. I. Zakharov

We study SU(2) gluodynamics at finite temperature near the deconfining phase transition. We create the lattice ensembles using the tadpole improved Luscher-Weisz action. The overlap Dirac operator is used to determine the following three…

High Energy Physics - Lattice · Physics 2008-11-26 V. G. Bornyakov , E. V. Luschevskaya , S. M. Morozov , M. I. Polikarpov , E. M. Ilgenfritz , M. Muller-Preussker

We study correlations between low-lying modes of the overlap Dirac operator and vacuum defects, center vortices and three-dimensional volumes, in lattice SU(2) gluodynamics. The low-lying modes are apparently sensitive to topological…

High Energy Physics - Lattice · Physics 2008-11-26 A. V. Kovalenko , S. M. Morozov , M. I. Polikarpov , V. I. Zakharov

We analyze zero modes of the Dirac operator for SU(2) lattice gauge theory. We find that the zero modes are strongly localized in all 4 directions. The position of these lumps depends on the boundary conditions we use for the Dirac…

High Energy Physics - Lattice · Physics 2007-05-23 Christof Gattringer , Stefan Solbrig

We study SU(2) gluodynamics at finite temperature on both sides of the deconfining phase transition. We create the lattice ensembles using the tree-level tadpole-improved Symanzik action. The Neuberger overlap Dirac operator is used to…

High Energy Physics - Lattice · Physics 2009-11-05 V. G. Bornyakov , E. V. Luschevskaya , S. M. Morozov , M. I. Polikarpov , E. -M. Ilgenfritz , M. Müller-Preussker

We study localization and chirality properties of eigenvectors of the lattice Dirac operator. In particular we focus on the dependence of our observables on the size of the corresponding eigenvalue, which allows us to study the transition…

High Energy Physics - Lattice · Physics 2008-11-26 Christof Gattringer , Meinulf Goeckeler , P. E. L. Rakow , Stefan Schaefer , Andreas Schaefer

We study physics at temperatures just above the QCD phase transition (Tc) using chiral (overlap) Fermions in the quenched approximation of lattice QCD. Exact zero modes of the overlap Dirac operator are localized and their frequency of…

High Energy Physics - Lattice · Physics 2011-07-19 Rajiv V. Gavai , Sourendu Gupta , R. Lacaze

We study topological aspects of the QCD vacuum structure in SU(2) lattice gauge theory with the abelian gauge fixing. The index of the Dirac operator is measured by using the Wilson fermion in the quenched approximation. We find…

High Energy Physics - Lattice · Physics 2009-10-30 Shoichi Sasaki , Osamu Miyamura

We use the overlap formalism to define a topological index on the lattice. We study the spectral flow of the hermitian Wilson-Dirac operator and identify zero crossings with topological objects. We determine the topological susceptibility…

High Energy Physics - Lattice · Physics 2009-10-31 Robert G. Edwards , Urs M. Heller , Rajamani Narayanan

We present selected recent results of the QCDSF collaboration on the localization and dimensionality of low overlap eigenmodes and of the topological density in the quenched SU(3) vacuum. We discuss the correlations between the topological…

High Energy Physics - Lattice · Physics 2008-11-26 E. -M. Ilgenfritz , K. Koller , Y. Koma , G. Schierholz , T. Streuer , V. Weinberg , M. Quandt

We use low lying eigenvectors of the overlap-Dirac operator as a probe of the QCD vacuum. If instantons play a significant role one would expect the low lying eigenmodes of the overlap-Dirac operator to consist mainly of the mixed ``would…

High Energy Physics - Lattice · Physics 2014-11-17 Robert G. Edwards , Urs M. Heller

We study the zero energy modes that arise in an unusual vortex configuration involving both the kinetic energy and an appropriate mass term in a model which exhibits birefringent Dirac fermions as its low energy excitations. We find the…

Strongly Correlated Electrons · Physics 2018-12-13 Bitan Roy , Peter M. Smith , Malcolm P. Kennett

The topological structure of the QCD vacuum can be probed by monitoring the spatial localization of the low-lying Dirac eigenmodes. This approach can be pursued on the lattice, and unlike the traditional one requires no smoothing of the…

High Energy Physics - Lattice · Physics 2008-11-26 Philippe de Forcrand

We study the low-lying eigenmodes of the lattice overlap Dirac operator for SU(N) gauge theories with N=2,3,4 and 5 colours. We define a fermionic topological charge from the zero-modes of this operator and show that, as N grows, any…

High Energy Physics - Lattice · Physics 2009-11-07 Nigel Cundy , Michael Teper , Urs Wenger

We determine the location $\lambda_c$ of the mobility edge in the spectrum of the hermitian Wilson operator in pure-gauge ensembles with plaquette, Iwasaki, and DBW2 gauge actions. The results allow mapping a portion of the (quenched) Aoki…

High Energy Physics - Lattice · Physics 2009-11-11 Maarten Golterman , Yigal Shamir , Benjamin Svetitsky

We study the interplay between Dirac eigenmodes and center vortices in SU(2) lattice gauge theory. In particular we focus on vortex-removed configurations and compare them to an ensemble of configurations with random changes of the link…

High Energy Physics - Lattice · Physics 2009-11-10 Jochen Gattnar , Christof Gattringer , Kurt Langfeld , Hugo Reinhardt , Andreas Schafer , Stefan Solbrig , T. Tok

The low energy eigenmodes of the continuum QCD Dirac operator are extended, but on the lattice, due to discretization effects, the Dirac operator can have localized eigenmodes. These non-physical modes can introduce strong lattice artifacts…

High Energy Physics - Lattice · Physics 2009-04-14 Anna Hasenfratz , Roland Hoffmann , Stefan Schaefer

We propose a lattice action including unphysical Wilson fermions with a negative mass m_0 of the order of the inverse lattice spacing. With this action, the exact zero mode of the hermitian Wilson-Dirac operator H_W(m_0) cannot appear and…

High Energy Physics - Lattice · Physics 2009-11-11 JLQCD collaboration , H. Fukaya , S. Hashimoto , K. -I. Ishikawa , T. Kaneko , H. Matsufuru , T. Onogi , N. Yamada

We study the properties of configurations from which P-vortices on one hand or Abelian monopoles on the other hand have been removed. We find that the zero modes and the band of non-zero modes close to zero disappear from the spectrum of…

High Energy Physics - Lattice · Physics 2008-11-26 V. G. Bornyakov , E. -M. Ilgenfritz , B. V. Martemyanov , S. M. Morozov , M. Müller-Preussker , A. I. Veselov

Measurements of the lowest-lying eigenvalues of the staggered fermion Dirac operator are made on ensembles of equilibrium gauge field configurations in quenched SU(3) lattice gauge theory. The results are compared with exact analytical…

High Energy Physics - Lattice · Physics 2009-10-31 P. H. Damgaard , U. M. Heller , A. Krasnitz
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