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We study the deconfinement transition in two-flavour lattice QCD with dynamical overlap fermions. Our simulations have been carried out on a $16^3 \times 6$ lattice at a pion mass around 500 MeV with a special HMC algorithm without any…

High Energy Physics - Lattice · Physics 2015-02-11 O. A. Kochetkov , V. G. Bornyakov , P. V. Buividovich , N. Cundy

We present the first determination of the topological susceptibility from lattice QCD in the presence of strong background magnetic fields. Our simulations employ 2+1 flavours of stout improved staggered quarks with physical masses and…

High Energy Physics - Lattice · Physics 2025-01-22 B. B. Brandt , G. Endrődi , J. J. Hernández Hernández , G. Markó

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…

High Energy Physics - Lattice · Physics 2013-12-18 Shinsuke M. Nishigaki , Matteo Giordano , Tamas G. Kovacs , Ferenc Pittler

We study the Anderson-type transition previously found in the spectrum of the QCD quark Dirac operator in the high temperature, quark-gluon plasma phase. Using finite size scaling for the unfolded level spacing distribution, we show that in…

High Energy Physics - Lattice · Physics 2014-04-02 Matteo Giordano , Tamas G. Kovacs , Ferenc Pittler

We investigate the properties of the background gauge field configurations that act as disorder for the Anderson localization mechanism in the Dirac spectrum of QCD at high temperatures. We compute the eigenmodes of the M\"obius domain-wall…

High Energy Physics - Lattice · Physics 2016-06-29 Guido Cossu , Shoji Hashimoto

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…

High Energy Physics - Lattice · Physics 2013-05-30 Tamas G. Kovacs , Ferenc Pittler

Above the QCD chiral crossover temperature, the low-lying eigenmodes of the Dirac operator are localised, while moving up in the spectrum states become extended. This localisation/delocalisation transition has been shown to be a genuine…

High Energy Physics - Lattice · Physics 2014-10-24 Matteo Giordano , Tamas G. Kovacs , Ferenc Pittler

We study the thermal confinement/deconfinement and non-thermal quantum phase transitions or rapid cross-overs in QCD and QCD-like theories in external magnetic fields. At large magnetic fields, while the contribution of gauge fluctuations…

High Energy Physics - Theory · Physics 2015-06-17 Mohamed M. Anber , Mithat Unsal

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

We analyze the localization properties for eigenvectors of the Dirac operator in quenched lattice QCD in the vicinity of the deconfinement phase transition. Studying the characteristic differences between the Z_3 sectors above the critical…

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

The QCD phase transition is studied on $16^3$ and $32^3 \times 4$ lattices both with and without quark loops. We introduce a new zero-flavor or quenched species of quark $\zeta$ and study the resulting chiral condensate, $\azbz$ as a…

High Energy Physics - Lattice · Physics 2009-10-28 Shailesh Chandrasekharan , Norman Christ

Using numerical simulations of lattice QCD with physical quark masses, we reveal the influence of magnetic-field background on chiral and deconfinement crossovers in finite-temperature QCD at low baryonic density. In the absence of…

High Energy Physics - Lattice · Physics 2019-12-18 V. V. Braguta , M. N. Chernodub , A. Yu. Kotov , A. V. Molochkov , A. A. Nikolaev

We investigate N$_f$ = 1 QCD in external magnetic fields on the lattice. The background field is introduced by means of the so-called Schrodinger functional. We adopt standard staggered fermions with constant bare mass $am = 0.025$ and…

High Energy Physics - Lattice · Physics 2016-01-27 Paolo Cea , Leonardo Cosmai

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…

High Energy Physics - Lattice · Physics 2013-11-08 Matteo Giordano , Tamás G. Kovács , Ferenc Pittler

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

The transition temperature ($T_c$) of QCD is determined by Symanzik improved gauge and stout-link improved staggered fermionic lattice simulations. We use physical masses both for the light quarks ($m_{ud}$) and for the strange quark…

High Energy Physics - Lattice · Physics 2008-11-26 Y. Aoki , Z. Fodor , S. D. Katz , K. K. Szabo

The magnitude of the $U_A(1)$ symmetry breaking is expected to affect the nature of $N_f=2$ QCD chiral phase transition. The explicit breaking of chiral symmetry due to realistic light quark mass is small, so it is important to use chiral…

High Energy Physics - Lattice · Physics 2015-10-15 Sayantan Sharma , Viktor Dick , Frithjof Karsch , Edwin Laermann , Swagato Mukherjee

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

In this paper we investigate the influence of a constant external magnetic field on the finite-temperature phase structure and the chiral properties of a simplified lattice model for QCD. We assume an SU(2) gauge symmetry and employ…

High Energy Physics - Lattice · Physics 2012-06-15 E. -M. Ilgenfritz , M. Kalinowski , M. Muller-Preussker , B. Petersson , A. Schreiber