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We analyze the eigenvalues and eigenvectors of the staggered Dirac operator in quenched lattice QCD in the vicinity of the deconfinement phase transition using the L\"uscher-Weisz gauge action. The spectral and localization properties of…

High Energy Physics - Lattice · Physics 2008-11-26 C. Gattringer , M. Göckeler , P. E. L. Rakow , A. Schäfer , W. Söldner , T. Wettig

We study the localization properties of the low-lying Dirac eigenmodes in QCD near the crossover temperature, using staggered fermions on the lattice. We find that localized low modes, absent at low temperature, appear at a temperature…

High Energy Physics - Lattice · Physics 2026-02-19 Matteo Giordano , Tamas G. Kovacs , Ferenc Pittler

In this paper we study the localization transition of Dirac eigenmodes in quenched QCD. We determined the temperature dependence of the mobility edge in the quark-gluon plasma phase near the deconfining critical temperature. We calculated…

High Energy Physics - Lattice · Physics 2018-11-06 Tamas G. Kovacs , Reka A. Vig

At high temperature part of the spectrum of the quark Dirac operator is known to consist of localized states. This comes about because around the crossover temperature to the quark-gluon plasma localized states start to appear at the low…

High Energy Physics - Lattice · Physics 2019-01-04 Tamas G. Kovacs , Reka A. Vig

We study the finite temperature localization transition in the spectrum of the overlap Dirac operator. Simulating the quenched approximation of QCD, we calculate the mobility edge, separating localized and delocalized modes in the spectrum.…

High Energy Physics - Lattice · Physics 2020-09-28 Reka A. Vig , Tamas G. Kovacs

We investigate the eigenvalues and eigenvectors of the staggered Dirac operator in the vicinity of the chiral phase transition of quenched SU(3) lattice gauge theory. We consider both the global features of the spectrum and the local…

High Energy Physics - Lattice · Physics 2008-11-26 M. Göckeler , H. Hehl , P. E. L. Rakow , A. Schäfer , W. Söldner , T. Wettig

The QCD Anderson transition is believed to be connected to both deconfinement and chiral crossovers. These crossovers are substantially affected when external magnetic fields ($B$) are present, most prominently, e.g., via magnetic catalysis…

High Energy Physics - Lattice · Physics 2026-04-03 Robin Kehr , Adeilton Dean Marques Valois , Lorenz von Smekal

It is known that the deconfining transition of QCD is accompanied by the appearance of localized eigenmodes at the low end of the Dirac spectrum. In the quenched case localization appears exactly at the critical temperature of…

High Energy Physics - Lattice · Physics 2022-02-01 Tamas G. Kovacs

We study the spectrum and eigenmodes of the QCD Dirac operator in a gauge background given by an Instanton Liquid Model (ILM) at temperatures around the chiral phase transition. Generically we find the Dirac eigenvectors become more…

High Energy Physics - Lattice · Physics 2009-11-11 Antonio M. Garcia-Garcia , James C. Osborn

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

Finite temperature lattice QCD is probed by varying the temporal boundary conditions of the fermions. We develop the emerging physical behavior in a study of the quenched case and subsequently present first results for a fully dynamical…

High Energy Physics - Lattice · Physics 2010-04-30 Erek Bilgici , Falk Bruckmann , Julia Danzer , Christof Gattringer , Christian Hagen , Ernst Michael Ilgenfritz , Axel Maas

We study the Anderson-like localization transition in the spectrum of the Dirac operator of quenched QCD. Above the deconfining transition we determine the temperature dependence of the mobility edge separating localized and delocalized…

High Energy Physics - Lattice · Physics 2019-01-04 Tamas G. Kovacs , Reka A Vig

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 investigate the Anderson transition found in the spectrum of the Dirac operator of Quantum Chromodynamics (QCD) at high temperature, studying the properties of the critical quark eigenfunctions. Applying multifractal finite-size scaling…

Disordered Systems and Neural Networks · Physics 2015-11-25 L. Ujfalusi , M. Giordano , F. Pittler , T. G. Kovács , I. Varga

We study hadron properties near the deconfining transition in the quenched lattice QCD simulation. This paper focuses on the heavy quarkonium states, such as $J/\psi$ meson. In order to treat heavy quarks at $T>0$, we adopt the $O(a)$…

High Energy Physics - Lattice · Physics 2009-10-31 T. Umeda , R. Katayama , O. Miyamura , H. Matsufuru

We investigate the lattice QCD Dirac operator with staggered fermions at temperatures around the chiral phase transition. We present evidence of a metal-insulator transition in the low lying modes of the Dirac operator around the same…

High Energy Physics - Lattice · Physics 2008-11-26 Antonio M. Garcia-Garcia , James C. Osborn

We examine the eigenvalues and eigenvectors of the staggered Dirac operator on thermal ensembles created in QCD with two flavours of staggered quarks. We see that across the phase transition a gap opens in the spectrum. For finite volume…

High Energy Physics - Lattice · Physics 2008-11-26 R. V. Gavai , Sourendu Gupta , R. Lacaze

The lattice studies in QCD demonstrate the nontrivial localization behavior of the eigenmodes of the 4D Euclidean Dirac operator considered as Hamiltonian of $4+1$ dimensional disordered system. We use the holographic viewpoint to provide…

High Energy Physics - Theory · Physics 2019-07-04 A. Gorsky , M. Litvinov

We study hadron properties near the deconfining transition in the finite temperature lattice QCD. This paper focus on the heavy quarkonium states, such as $J/\psi$ meson. We compare the meson correlators above and below $T_c$ and discuss…

High Energy Physics - Lattice · Physics 2009-10-31 T. Umeda , R. Katayama , H. Matsufuru , O. Miyamura

Using non-perturbative lattice method we studied hadronic screening correlators above and immediately below the deconfinement transition temperature, Tc, in the quenched approximation with lattice spacing of 1/(8T) using clover improved…

High Energy Physics - Lattice · Physics 2015-06-12 Saumen Datta , Sourendu Gupta , M. Padmanath , Nilmani Mathur , Jyotirmoy Maiti
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