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We investigate the QCD Anderson transition by studying the low-lying eigenmodes of the overlap operator in the background of gauge configurations with 2+1+1 quark flavors of twisted-mass Wilson fermions. The mobility edge, below which…

High Energy Physics - Lattice · Physics 2025-03-05 Robin Kehr , Lorenz von Smekal

Chiral Random Matrix Theory has proven to describe the spectral properties of low temperature QCD very well. However, at temperatures above the chiral symmetry restoring transition it can not provide a global description. The level-spacing…

High Energy Physics - Lattice · Physics 2018-10-03 Lukas Holicki , Ernst-Michael Ilgenfritz , Lorenz von Smekal

In this work we probe the QCD Anderson transition by studying spectral distributions of the massless overlap operator on gauge configurations created by the twisted mass at finite temperature collaboration (tmfT) with 2+1+1 flavors of…

High Energy Physics - Lattice · Physics 2024-04-30 Robin Kehr , Dominik Smith , Lorenz von Smekal

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 study the influence of an external magnetic field on the deconfinement transition in two-flavour lattice QCD with physical quark charges. We use dynamical overlap fermions without any approximation such as fixed topology and perform…

High Energy Physics - Lattice · Physics 2014-08-20 V. G. Bornyakov , P. V. Buividovich , N. Cundy , O. A. Kochetkov , A. Schäfer

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 review the present status of the Anderson transition in the spectrum of the Dirac operator of QCD-like theories on the lattice. Localized modes at the low-end of the spectrum have been found in SU(2) Yang-Mills theory with overlap and…

High Energy Physics - Lattice · Physics 2015-06-22 Matteo Giordano , Tamas G. Kovacs , Ferenc Pittler

We study the problems of chiral symmetry breaking and eigenmode localisation in finite-temperature QCD by looking at the lattice Dirac operator as a random Hamiltonian. We recast the staggered Dirac operator into an unconventional…

High Energy Physics - Lattice · Physics 2016-06-29 Matteo Giordano , Tamas G. Kovacs , 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…

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

We investigate the QCD Dirac operator with gauge configurations given by a liquid of instantons in the region of temperatures about the chiral phase transition. Both the quenched and unquenched cases are examined in detail. We present…

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

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 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. For two massless quark flavors we observe that at the chiral…

High Energy Physics - Lattice · Physics 2007-05-23 Antonio M. Garcia-Garcia , James C. Osborn

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

Overlap fermions are particularly well suited to study the finite temperature dynamics of the chiral symmetry restoration transition of QCD, which might be just an analytic crossover. Using gauge field configurations on a 24^3x10 lattice…

High Energy Physics - Lattice · Physics 2008-11-26 V. Weinberg , E. -M. Ilgenfritz , K. Koller , Y. Koma , Y. Nakamura , G. Schierholz , T. Streuer

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…

High Energy Physics - Lattice · Physics 2021-06-17 Matteo Giordano , Tamas G. Kovacs

We study the Anderson-type localisation-delocalisation transition found previously in the QCD Dirac spectrum at high temperature. Using high statistics QCD simulations with $N_f=2+1$ flavours of staggered quarks, we discuss how the change…

High Energy Physics - Lattice · Physics 2013-12-09 Matteo Giordano , Tamas G. Kovacs , Ferenc Pittler

We discuss chiral symmetry restoration and eigenmode localisation in finite-temperature QCD by looking at the lattice Dirac operator as a random Hamiltonian. We argue that the features of QCD relevant to both phenomena are the presence of…

High Energy Physics - Lattice · Physics 2016-10-25 Matteo Giordano , Tamas G. Kovacs , Ferenc Pittler

Recently we found an Anderson-type localization-delocalization transition in the QCD Dirac spectrum at high temperature. Using spectral statistics we obtained a critical exponent compatible with that of the corresponding Anderson model.…

High Energy Physics - Lattice · Physics 2014-10-31 Matteo Giordano , Tamas G. Kovacs , Ferenc Pittler , Laszlo Ujfalusi , Imre Varga

In QCD above the chiral restoration temperature there exists an Anderson transition in the fermion spectrum from localized to delocalized modes. We investigate whether the same holds for nonlinear sigma models which share properties like…

High Energy Physics - Lattice · Physics 2018-04-18 Falk Bruckmann , Jacob Wellnhofer

Lattice simulations for (2+1)-flavor QCD with external magnetic field demonstrated that the quark mass is one of the important parameters responsible for the (inverse) magnetic catalysis. We discuss the dependences of chiral condensates and…

High Energy Physics - Lattice · Physics 2018-04-18 Akio Tomiya , Heng-Tong Ding , Swagato Mukherjee , Christian Schmidt , Xiao-Dan Wang
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