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The QCD cross-over line in the temperature ($T$) -- baryo-chemical potential ($\mu_B$) plane has been computed by several lattice groups by calculating the chiral order parameter and its susceptibility at finite values of $\mu_B$. In this…

The physics of Anderson transitions between localized and metallic phases in disordered systems is reviewed. The term ``Anderson transition'' is understood in a broad sense, including both metal-insulator transitions and quantum-Hall-type…

Mesoscale and Nanoscale Physics · Physics 2008-10-20 F. Evers , A. D. Mirlin

Finite temperature transition in lattice QCD with degenerate Wilson quarks is investigated on an $N_t=4$ lattice, using a renormalization group improved gauge action. We find the following for the $N_F=2$ case: 1) The transition is smooth…

High Energy Physics - Lattice · Physics 2016-09-01 Y. Iwasaki , K. Kanaya , S. Kaya , S. Sakai , T. Yoshie

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 provide the first lattice-QCD estimate of the crossover line down to $T\simeq108$~MeV. We introduce a new method that combines the Lee-Yang edge in the complex plane of baryon chemical potential $\mu_B$ with universal chiral scaling to…

High Energy Physics - Lattice · Physics 2026-03-18 D. A. Clarke , H. -T. Ding , J. -B. Gu , S. -T. Li , Swagato Mukherjee , P. Petreczky , C. Schmidt , H. -T. Shu , K. -F. Ye

We study the scaling properties of the finite temperature QCD phase transition, for light quark masses ranging from the heavy quark regime to their physical values. The lattice results are obtained in the fixed scale approach from…

High Energy Physics - Lattice · Physics 2021-11-03 A. Yu. Kotov , M. P. Lombardo , A. Trunin

We determine the location $\lambda_c$ of the mobility edge in the spectrum of the hermitian Wilson operator on quenched ensembles. We confirm a theoretical picture of localization proposed for the Aoki phase diagram. When $\lambda_c>0$ we…

High Energy Physics - Lattice · Physics 2011-07-19 Maarten Golterman , Yigal Shamir , Benjamin Svetitsky

A new characterization of the Anderson phase transition, based on the response of the system to the boundary conditions is introduced. We change the boundary conditions from periodic to antiperiodic and look for its effects on the…

Strongly Correlated Electrons · Physics 2023-04-20 Mohammad Pouranvari

QCD with two flavours of massless colour-sextet quarks is considered as a model for conformal/walking Technicolor. If this theory possess an infrared fixed point, as indicated by 2-loop perturbation theory, it is a conformal(unparticle)…

High Energy Physics - Lattice · Physics 2014-11-20 J. B. Kogut , D. K. Sinclair

The time-dependent Mott transition in a periodic Anderson model with off-site, nearest-neighbor hybridization is studied within the framework of nonequilibrium self-energy functional theory. Using the two-site dynamical-impurity…

Strongly Correlated Electrons · Physics 2016-08-16 Felix Hofmann , Michael Potthoff

The critical temperature and the nature of the QCD finite temperature phase transition are determined for Nf=2 dynamical flavors of nonperturbatively improved Wilson fermions. The calculations are performed on large lattices with temporal…

High Energy Physics - Lattice · Physics 2014-11-20 V. G. Bornyakov , R. Horsley , S. M. Morozov , Y. Nakamura , M. I. Polikarpov , P. E. L. Rakow , G. Schierholz , T. Suzuki

The Axial Magnetic Effect is the generation of an equilibrium dissipationless energy flow of chiral fermions in the direction of the axial (chiral) magnetic field. At finite temperature the dissipationless energy transfer may be realized in…

High Energy Physics - Lattice · Physics 2014-04-23 V. Braguta , M. N. Chernodub , V. A. Goy , K. Landsteiner , A. V. Molochkov , M. I. Polikarpov

We study the thermal transition of QCD with two degenerate light flavours by lattice simulations using $O(a)$-improved Wilson quarks. Temperature scans are performed at a fixed value of $N_t = (aT)^{-1}=16$, where $a$ is the lattice spacing…

High Energy Physics - Lattice · Physics 2017-02-23 Bastian B. Brandt , Anthony Francis , Harvey B. Meyer , Owe Philipsen , Daniel Robaina , Hartmut Wittig

We study the localization properties of the low-lying Dirac eigenmodes in QCD at imaginary chemical potential $\hat{\mu}_I=\pi$ at temperatures above the Roberge-Weiss transition temperature $T_{\rm RW}$. We find that modes are localized up…

High Energy Physics - Lattice · Physics 2022-01-26 Marco Cardinali , Massimo D'Elia , Francesco Garosi , Matteo Giordano

We study the vacuum topology of 2+1 flavor QCD above the chiral crossover transition, at $T \lesssim 1.2~T_c$, on lattices of size $32^3\times 8$. Since overlap fermions have exact chiral symmetry and an index theorem even on a finite…

High Energy Physics - Lattice · Physics 2020-08-12 Rasmus N. Larsen , Sayantan Sharma , Edward Shuryak

We study the QCD phase transition based on the statistical treatment with the bag-model picture of hadrons, and derive a phenomenological relation among the low-lying hadron masses, the hadron sizes and the critical temperature of the QCD…

High Energy Physics - Phenomenology · Physics 2007-05-23 Noriyoshi Ishii , Hideo Suganuma

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 study quenched SU(2) lattice gauge theory with adjoint fermions in a wide range of temperatures. We focus on spectral quantities of the Dirac operator and use the temporal fermionic boundary conditions as a tool to probe the system. We…

High Energy Physics - Lattice · Physics 2009-11-13 Erek Bilgici , Christof Gattringer , Ernst-Michael Ilgenfritz , Axel Maas

We investigate Anderson localization in a three dimensional (3d) kicked rotor. By a finite size scaling analysis we have identified a mobility edge for a certain value of the kicking strength $k = k_c$. For $k > k_c$ dynamical localization…

Disordered Systems and Neural Networks · Physics 2010-02-17 Jiao Wang , Antonio M. Garcia-Garcia

The Anderson localization transition is one of the most well studied examples of a zero temperature quantum phase transition. On the other hand, many open questions remain about the phenomenology of disordered systems driven far out of…

Statistical Mechanics · Physics 2019-09-11 Michael J. Gullans , David A. Huse