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Ample numerical evidence from lattice calculations shows a strong connection between the confining properties of gauge theories at finite temperature and the localisation properties of the low-lying Dirac eigenmodes. In this contribution we…

高能物理 - 格点 · 物理学 2023-01-11 Marco Cardinali , Massimo D'Elia , Francesco Garosi , Matteo Giordano

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.…

高能物理 - 格点 · 物理学 2020-09-28 Reka A. Vig , Tamas G. Kovacs

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…

高能物理 - 格点 · 物理学 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…

高能物理 - 格点 · 物理学 2018-11-06 Tamas G. Kovacs , Reka A. Vig

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…

高能物理 - 格点 · 物理学 2022-02-01 Tamas G. Kovacs

The low-lying Dirac modes become localised at the finite-temperature transition in QCD and in other gauge theories, suggesting a general connection between their localisation and deconfinement. The simplest model where this connection can…

高能物理 - 格点 · 物理学 2021-10-29 György Baranka , Matteo Giordano

It was previously found that at high temperature the lowest part of the QCD Dirac spectrum consists of localized modes obeying Poisson statistics. Higher up in the spectrum, modes become delocalized and their statistics can be described by…

高能物理 - 格点 · 物理学 2013-11-08 Matteo Giordano , Tamás G. Kovács , Ferenc Pittler

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…

高能物理 - 格点 · 物理学 2019-01-04 Tamas G. Kovacs , Reka A Vig

I study the localisation properties of low Dirac eigenmodes in 2+1 dimensional SU(3) pure gauge theory, both in the low-temperature, confined and chirally-broken phase and in the high-temperature, deconfined and chirally-restored phase, by…

高能物理 - 格点 · 物理学 2019-06-26 Matteo Giordano

We study the properties of low-lying Dirac modes in quenched compact QED at $\beta =1.01$, employing $12^3\times N_t$ ($N_t =4,6,8,10,12$) lattices and the overlap formalism for the fermion action. We pay attention to the spatial…

高能物理 - 格点 · 物理学 2008-11-26 Toru T. Takahashi

Low-lying Dirac modes become localized at the finite-temperature transition in QCD and other gauge theories, indicating a strong connection between localization and deconfinement. This phenomenon can be understood through the "sea/islands"…

高能物理 - 格点 · 物理学 2025-01-24 György Baranka , Matteo Giordano

We study the localization properties of the eigenmodes of the staggered Dirac operator across the deconfinement transition in finite-temperature $\mathbb{Z}_3$ pure gauge theory on the lattice in 2+1 dimensions. This allows for nontrivial…

高能物理 - 格点 · 物理学 2022-12-07 György Baranka , Matteo Giordano

We study the localization properties of the eigenmodes of the staggered Dirac operator in finite-temperature $\mathbb{Z}_2$ pure gauge theory on the lattice in 2+1 dimensions. We find that the low modes turn from delocalized to localized as…

高能物理 - 格点 · 物理学 2021-10-04 György Baranka , Matteo Giordano

We study localization of the low Dirac modes in 3+1 dimensional pure $\mathrm{SU}(3)$ gauge theory at zero and nonzero imaginary $\theta$ angle, with the aim of better characterizing the relation between low-mode localization and…

高能物理 - 格点 · 物理学 2025-06-18 Claudio Bonanno , Matteo Giordano

It is by now well established that Dirac fermions coupled to non-Abelian gauge theories can undergo an Anderson-type localization transition. This transition affects eigenmodes in the lowest part of the Dirac spectrum, the ones most…

高能物理 - 格点 · 物理学 2021-06-17 Matteo Giordano , Tamas G. Kovacs

At zero temperature the lowest part of the spectrum of the QCD Dirac operator is known to consist of delocalized modes that are described by random matrix statistics. In the present paper we show that the nature of these eigenmodes changes…

高能物理 - 格点 · 物理学 2013-05-30 Tamas G. Kovacs , Ferenc Pittler

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…

高能物理 - 格点 · 物理学 2008-11-26 C. Gattringer , M. Göckeler , P. E. L. Rakow , A. Schäfer , W. Söldner , T. Wettig

We study the properties of low-lying Dirac modes in quenched compact QED at $\beta$=0.99, 1.01 and 1.03, employing $12^3\times 12$ lattices and the overlap formalism for the fermion action. We pay special attention to the spatial…

高能物理 - 格点 · 物理学 2008-11-26 Toru T. Takahashi

We study the chiral polarization properties of low-lying Dirac eigenmodes at finite temperature using the overlap operator. Results for pure gauge theory on both sides of deconfinement phase transition are presented. We find that the…

高能物理 - 格点 · 物理学 2012-11-13 Andrei Alexandru , Ivan Horváth

We examine statistical fluctuation of eigenvalues from the near-edge bulk of QCD Dirac spectra above the critical temperature. For completeness we start by reviewing on the spectral property of Anderson tight-binding Hamiltonians as…

高能物理 - 格点 · 物理学 2013-12-18 Shinsuke M. Nishigaki , Matteo Giordano , Tamas G. Kovacs , Ferenc Pittler
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