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The spectrum of low-lying eigenvalues of overlap Dirac operator in quenched SU(2) lattice gauge theory with tadpole-improved Symanzik action is studied at finite temperatures in the vicinity of the confinement-deconfinement phase transition…

High Energy Physics - Lattice · Physics 2008-11-26 P. V. Buividovich , E. V. Luschevskaya , M. I. Polikarpov

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…

High Energy Physics - Lattice · Physics 2022-12-07 György Baranka , Matteo Giordano

We investigate the confinement mechanism in three-flavor QCD with imaginary isospin chemical potentials $(\mu_u,\mu_d,\mu_s)=(i\theta T,-i\theta T,0)$, using the Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model, where $T$ is…

High Energy Physics - Phenomenology · Physics 2015-06-12 Hiroaki Kouno , Takahiro Makiyama , Takahiro Sasaki , Yuji Sakai , Masanobu Yahiro

We represent Polyakov loops and their correlators as spectral sums of eigenvalues and eigenmodes of the lattice Dirac operator. The deconfinement transition of pure gauge theory is characterized as a change in the response of moments of…

High Energy Physics - Lattice · Physics 2009-11-11 Christof Gattringer

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

QCD monopoles are magnetically charged quasiparticles whose Bose-Einstein condensation (BEC) at $T<T_c$ creates electric confinement and flux tubes. The "magnetic scenario" of QCD proposes that scattering on the non-condensed component of…

High Energy Physics - Phenomenology · Physics 2019-07-24 Adith Ramamurti , Edward Shuryak

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

We investigate chiral and deconfinement transitions in the strong coupling lattice QCD for color SU(3). We combine the leading order Polyakov loop effective action of the strong coupling expansion and the next-to-next-to-leading order…

High Energy Physics - Lattice · Physics 2010-10-28 Takashi Z. Nakano , Kohtaroh Miura , Akira Ohnishi

We study confinement and deconfinement in dense two color QCD by analyzing the dynamics of thermal quarks and gluons. The Polyakov loop is used as a probe of the relevant thermal excitations, distinguishing quark and hadron dominated…

High Energy Physics - Phenomenology · Physics 2025-11-21 Yugo Kurebayashi , Toru Kojo , Daiki Suenaga

Using a standard cooling method for SU(3) lattice gauge fields constant Abelian magnetic field configurations are extracted after dyon-antidyon constituents forming metastable Q=0 configurations have annihilated. These so-called Dirac…

High Energy Physics - Lattice · Physics 2013-05-30 E. -M. Ilgenfritz , B. V. Martemyanov , M. Müller-Preussker

We investigate the eigenvalues and eigenvectors of the staggered Dirac operator in the vicinity of the chiral phase transition of quenched SU(3) lattice gauge theory. We consider both the global features of the spectrum and the local…

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

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

We study the phase structure of QCD at finite temperature within a Polyakov-loop enhanced quark-meson model. Such a model describes the chiral as well as the confinement-deconfinement dynamics. In the present investigation, based on the…

High Energy Physics - Phenomenology · Physics 2014-04-04 Tina Katharina Herbst , Mario Mitter , Jan M. Pawlowski , Bernd-Jochen Schaefer , Rainer Stiele

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

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

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…

High Energy Physics - Lattice · Physics 2021-10-29 György Baranka , Matteo Giordano

We calculate the Polyakov loop susceptibilities in the SU(3) lattice gauge theory using the Symanzik improved gauge action on different-sized lattices. The longitudinal and transverse fluctu- ations of the Polyakov loop, as well as, that of…

High Energy Physics - Lattice · Physics 2013-11-20 Pok Man Lo , Bengt Friman , Olaf Kaczmarek , Krzysztof Redlich , Chihiro Sasaki

Unquenching of the Polyakov-loop potential showed to be an important improvement for the description of the phase structure and thermodynamics of strongly-interacting matter at zero quark chemical potentials with Polyakov-loop extended…

High Energy Physics - Phenomenology · Physics 2016-05-25 Rainer Stiele , Juergen Schaffner-Bielich

We investigate the QCD phase diagram based on the strong coupling expansion of the lattice QCD with one species of the staggered fermions at finite temperature (T) and chemical potential (mu). We analytically derive an effective potential…

High Energy Physics - Lattice · Physics 2011-09-29 Kohtaroh Miura , Takashi Z. Nakano , Akira Ohnishi , Noboru Kawamoto

We extend the hadronic SU(3) non-linear sigma model to include quark degrees of freedom. The choice of potential for the Polyakov loop as a function of temperature and chemical potential allows us to construct a realistic phase diagram from…

Solar and Stellar Astrophysics · Physics 2010-04-29 V. A. Dexheimer , S. Schramm