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We investigate the influence of topological charges on non-stable zero and near-zero modes of the single uni-color plane vortex pairs. We combine the uni-color plane vortices with the spherical vortex and also construct the plane vortex…

High Energy Physics - Lattice · Physics 2023-11-16 Seyed Mohsen Hosseini Nejad

We study topological properties of classical spherical center vortices with the low-lying eigenmodes of the Dirac operator in the fundamental and adjoint representations using both the overlap and asqtad staggered fermion formulations. In…

High Energy Physics - Lattice · Physics 2024-12-31 Roman Höllwieser , Manfried Faber , Urs M. Heller

We introduce topological non-trivial colorful regions around intersection points of two perpendicular vortex pairs and investigate their influence on topological charge density and eigenmodes of the Dirac operator. With increasing distance…

High Energy Physics - Lattice · Physics 2017-09-20 Seyed Mohsen Hosseini Nejad , Manfried Faber

We analyze topological charge contributions from classical SU(2) center vortices with shapes of planes and spheres using different topological charge definitions, namely the center vortex picture of topological charge, a discrete version of…

High Energy Physics - Lattice · Physics 2013-05-30 R. Höllwieser , M. Faber , U. M. Heller

The topological charge in the $\U(N)$ vector-like reduced model can be defined by using the overlap Dirac operator. We obtain its large $N$ limit for a fermion in a general gauge-group representation under a certain restriction of gauge…

High Energy Physics - Lattice · Physics 2009-11-10 Teruaki Inagaki , Yoshio Kikukawa , Hiroshi Suzuki

A topological approach to quark fractional charges, based on charge constraints unexplained by the Standard Model of particle physics, is discussed. Charge fractionalization is related to a tunneling process occurring in time between pure…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ernesto A. Matute

We introduce the Dirac eigenmode filtering of topological charge density associated with Ginsparg-Wilson fermions as a tool to investigate the local structure of topological charge fluctuations in QCD. The resulting framework is used to…

High Energy Physics - Lattice · Physics 2008-11-26 I. Horvath , S. J. Dong , T. Draper , F. X. Lee , K. F. Liu , J. B. Zhang , H. B. Thacker

Intersections of thick, plane SU(2) center vortices are characterized by the topological charge |Q|=1/2. We compare such intersections with the distribution of zeromodes of the Dirac operator in the fundamental and adjoint representation…

High Energy Physics - Lattice · Physics 2011-06-22 Roman Höllwieser , Manfried Faber , Urs M. Heller

We present a comparison of different definitions of the topological charge on the lattice, using a small-volume ensemble with 2 flavours of dynamical twisted mass fermions. The investigated definitions are: index of the overlap Dirac…

Despite fermion doubling, a two-dimensional quasi-relativistic spin-1/2 system can still lead to true fractionalization of electrical charge, when a massive ordered phase supports a "half-vortex". Such topological defect is possible when…

Mesoscale and Nanoscale Physics · Physics 2016-04-13 Bitan Roy , Igor F. Herbut

We investigate the interplay between topological charge and the spectrum of the fermion matrix in lattice-QED_2 using analytic methods and Monte Carlo simulations with dynamical fermions. A new theorem on the spectral decomposition of the…

High Energy Physics - Lattice · Physics 2009-10-30 C. R. Gattringer , I. Hip , C. B. Lang

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

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…

High Energy Physics - Lattice · Physics 2009-11-11 E. Follana , A. Hart , C. T. H. Davies , Q. Mason

We investigate plane vortices with color structure. The topological charge and gauge action of such colorful plane vortices are studied in the continuum and on the lattice. These configurations are vacuum to vacuum transitions changing the…

High Energy Physics - Lattice · Physics 2017-08-29 Seyed Mohsen Hosseini Nejad , Manfried Faber , Roman Höllwieser

We study a two-dimensional system of spin-polarized fermions on the kagome lattice at filling fraction f=1/3 interacting through a nearest-neighbor interaction V. Above a critical interaction strength V_c a charge-density wave with a broken…

Strongly Correlated Electrons · Physics 2015-03-17 Andreas Ruegg , Gregory A. Fiete

There has been significant interest in exploring topological disclination states, which effectively probe the band topology of the host material beyond the conventional bulk-edge correspondence. While most studies in this area have…

Mesoscale and Nanoscale Physics · Physics 2025-02-10 Ruifeng Li , Rimi Banerjee , Subhaskar Mandal , Da Li , Yang Long , Tianchi Ma , Jianwei Liu , Gui-Geng Liu , Yidong Chong , Baile Zhang , Er-Ping Li

Comparative study of topological charge is performed. Topological charges are measured by a cloverleaf operator on smoothed gauge configurations. Various types of smoothing techniques are employed. Agreement of topological charges in…

High Energy Physics - Lattice · Physics 2015-01-27 Yusuke Namekawa

We consider a recent proposal by Horv\'ath {\em et al.} to address the question whether topological charge fluctuations in QCD are instanton dominated via the response of fermions using lattice fermions with exact chiral symmetry, the…

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

We investigate several examples of Yang-Mills gauge configurations containing center vortex structures, including intersection points between vortices and nontrivial color structures residing on the vortex world-surfaces. Various…

High Energy Physics - Lattice · Physics 2018-04-04 Seyed Mohsen Hosseini Nejad

We investigate how the topological charge density in lattice QCD simulations is affected by violations of chiral symmetry caused by the fermion action. To this end we compare lattice configurations generated with a number of different…

High Energy Physics - Lattice · Physics 2012-01-10 Falk Bruckmann , Nigel Cundy , Florian Gruber , Thomas Lippert , Andreas Schäfer
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