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A disorder parameter is constructed which signals the condensation of vortices. The construction is tested by numerical simulations. Advances in the understanding of the basic properties of QCD vacuum will be reported. Three main subjects…

High Energy Physics - Lattice · Physics 2007-05-23 A. Di Giacomo

We analyze the topological and fermionic vacuum structure of four-dimensional QCD on the lattice by means of correlators of fermionic observables and topological densities. We show the existence of strong local correlations between the…

High Energy Physics - Lattice · Physics 2009-10-31 W. Sakuler , S. Thurner , H. Markum

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

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 report on new analyses of the topological and chiral vacuum structure of four-dimensional QCD on the lattice. Correlation functions as well as visualization of monopole currents in the maximally Abelian gauge emphasize their topological…

High Energy Physics - Lattice · Physics 2008-11-26 E. -M. Ilgenfritz , H. Markum , M. Müller--Preussker , W. Sakuler , S. Thurner

We show that low-lying eigenmodes of the Laplace operator are suitable to represent properties of the underlying SU(2) lattice configurations. We study this for the case of finite temperature background fields, yet in the confinement phase.…

High Energy Physics - Lattice · Physics 2009-11-11 Falk Bruckmann , Ernst-Michael Ilgenfritz

We study spectra, localization properties and local chirality of eigenvectors of the lattice Dirac operator. We analyze ensembles of quenched SU(3) configurations on both sides of the QCD phase transition. Our Dirac operator is a systematic…

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

We revisit old ideas that smearing or blocking an SU(N) lattice gauge field, or averaging over an ensemble of fields created in the neighbourhood of that field, can reduce the high frequency fluctuations sufficiently that the naive lattice…

High Energy Physics - Lattice · Physics 2022-02-08 Michael Teper

We analyze the properties of a class of improved lattice topological charge density operators, constructed by a smearing-like procedure. By optimizing the choice of the parameters introduced in their definition, we find operators having (i)…

High Energy Physics - Lattice · Physics 2009-10-28 C. Christou , A. Di Giacomo , H. Panagopoulos , E. Vicari

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

We analyze topological objects in pure QCD in the presence of external quarks by calculating the distributions of instanton and monopole densities around static color sources. We find a suppression of the densities close to external sources…

High Energy Physics - Theory · Physics 2016-11-03 St. Thurner , H. Markum , W. Sakuler

There exist several types of monopole - like topological defects in Electroweak theory. We investigate properties of these objects using lattice numerical methods. The intimate connection between them and the dynamics of the theory is…

High Energy Physics - Lattice · Physics 2015-07-28 B. L. G. Bakker , A. I. Veselov , M. A. Zubkov

The problem of having to reconstruct the decay rates and corresponding amplitudes of the single-exponential components of a noisy multi-exponential signal is common in many other areas of physics and engineering besides lattice field…

High Energy Physics - Lattice · Physics 2023-07-10 Georg M. von Hippel

Progress by the Lattice Hadron Physics Collaboration in determining the baryon and meson resonance spectrum of QCD using Monte Carlo methods with space-time lattices is described. The extraction of excited-state energies necessitates the…

High Energy Physics - Lattice · Physics 2017-08-23 K. J. Juge , A. Lichtl , C. Morningstar , R. G. Edwards , D. G. Richards , S. Basak , S. Wallace , I. Sato , G. T. Fleming

We present a novel method to determine on the lattice both the real and imaginary parts of complex electroweak amplitudes involving two external currents and a single hadron or the QCD vacuum in the external states. The method is based on…

High Energy Physics - Lattice · Physics 2023-06-13 R. Frezzotti , G. Gagliardi , V. Lubicz , F. Sanfilippo , S. Simula , N. Tantalo

We investigate the lattice index theorem and the localization of the zero-modes for thick classical center vortices. For non-orientable spherical vortices, the index of the overlap Dirac operator differs from the topological charge although…

High Energy Physics - Lattice · Physics 2008-11-26 Gerald Jordan , Roman Hoellwieser , Manfried Faber , Urs M. Heller

Two-dimensional CP**(N-1) models are used to compare the behavior of different cooling techniques on the lattice. Cooling is one of the most frequently used tools to study on the lattice the topological properties of the vacuum of a field…

High Energy Physics - Lattice · Physics 2008-11-26 B. Alles , L. Cosmai , M. D'Elia , A. Papa

In this review, we discuss various properties of topological solitons in dense QCD matter, with a particular emphasis on the CFL phase exhibiting superfluidity and superconductivity, and their phenomenological implications in terms of the…

High Energy Physics - Phenomenology · Physics 2014-02-04 Minoru Eto , Yuji Hirono , Muneto Nitta , Shigehiro Yasui

We explore gauge actions for lattice QCD, which are constructed such that the occurrence of small plaquette values is strongly suppressed. By choosing strong bare gauge couplings we arrive at values for the physical lattice spacings of…

High Energy Physics - Lattice · Physics 2009-11-11 W. Bietenholz , K. Jansen , K. -I. Nagai , S. Necco , L. Scorzato , S. Shcheredin

We propose a novel general approach to locality of lattice composite fields, which in case of QCD involves locality in both quark and gauge degrees of freedom. The method is applied to gauge operators based on the overlap Dirac matrix…

High Energy Physics - Lattice · Physics 2017-02-08 Andrei Alexandru , Ivan Horváth