English
Related papers

Related papers: Dirac mode localization in QCD near the crossover …

200 papers

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

At low temperature the low end of the QCD Dirac spectrum is well described by chiral random matrix theory. In contrast, at high temperature there is no similar statistical description of the spectrum. We show that at high temperature the…

High Energy Physics - Lattice · Physics 2010-11-11 Tamas G. Kovacs , Ferenc Pittler

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

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

We discuss a possible mechanism leading to localisation of the low-lying Dirac eigenmodes in high-temperature lattice QCD, based on the spatial fluctuations of the local Polyakov lines in the partially ordered configurations above $T_c$.…

High Energy Physics - Lattice · Physics 2015-05-20 Matteo Giordano , Tamas G. Kovacs , Ferenc Pittler

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 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

We study the low eigenmodes of the overlap and staggered Dirac operator at high temperature. We show that the recently found localized quark modes obeying Poisson statistics are connected to physical gauge field objects with their size and…

High Energy Physics - Lattice · Physics 2011-12-02 Tamas G. Kovacs , Ferenc Pittler , Falk Bruckmann , Sebastian Schierenberg

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

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…

High Energy Physics - Lattice · Physics 2021-10-04 György Baranka , Matteo Giordano

Determining the type of excitations that can exist in a thermal medium is key to understanding how hadronic matter behaves at extreme temperatures. In this work we study this question for pseudo-scalar mesons comprised of light-strange and…

High Energy Physics - Lattice · Physics 2024-06-04 Dibyendu Bala , Olaf Kaczmarek , Peter Lowdon , Owe Philipsen , Tristan Ueding

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 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 re-analyze data from available finite-temperature QCD simulations near the chiral transition, with the help of Chiral Random Matrix Theory (chRMT). Statistical properties of the lowest-lying eigenvalues of the staggered Dirac operator…

High Energy Physics - Lattice · Physics 2009-10-31 F. Farchioni , Ph. de Forcrand , I. Hip , C. B. Lang , K. Splittorff

We discuss the utility of low-lying Dirac eigenmodes for studying the nature of topological charge fluctuations in QCD. The implications of previous results using the local chirality histogram method are discussed, and the new results using…

High Energy Physics - Lattice · Physics 2008-11-26 S. J. Dong , T. Draper , I. Horvath , N. Isgur , F. X. Lee , J. McCune , J. B. Zhang , H. B. Thacker

The Dirac operator in finite temperature QCD is equivalent to the Hamiltonian of an unconventional Anderson model, with on-site noise provided by the fluctuations of the Polyakov lines. The main features of its spectrum and eigenvectors,…

High Energy Physics - Lattice · Physics 2017-04-27 Matteo Giordano , Tamas G. Kovacs , Ferenc Pittler

Results will be presented from a study of the QCD transition region using 2+1 flavors of fermions and a dislocation suppressing gauge action on a lattice with temporal extent of 8 and spatial extent 16 (1.9 - 2.7 fm). A series of…

High Energy Physics - Lattice · Physics 2015-06-03 Zhongjie Lin

We present new results in an ongoing study of the nature of the high temperature crossover in QCD with two light fermion flavors. These results are obtained with the conventional staggered fermion action at the smallest lattice spacing to…

High Energy Physics - Lattice · Physics 2009-10-28 C. Bernard , T. Blum , C. DeTar , Steven Gottlieb , Urs M. Heller , J. Hetrick , K. Rummukainen , S. Sugar , D. Toussaint , M. Wingate

We present a detailed calculation of the transition temperature in QCD with two light and one heavier (strange) quark mass on lattices with temporal extent N_t =4 and 6. Calculations with improved staggered fermions have been performed for…

We report on a study of the finite-temperature QCD transition region for temperatures between 139 and 196 MeV, with a pion mass of 200 MeV and two space-time volumes: $24^3\times8$ and $32^3\times8$, where the larger volume varies in linear…