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We represent the Polyakov loop correlator as a spectral sum of correlators of eigenvectors of the lattice Dirac operator. This spectral representation is studied numerically using quenched SU(3) configurations below and above the…

High Energy Physics - Lattice · Physics 2010-02-03 Erek Bilgici , Christof Gattringer

A recently proposed phenomenological model, which includes nonperturbative effects from dimension two gluon condensates, is applied to analyze the available lattice data for the heavy quark free energy in the deconfined phase of quenched…

High Energy Physics - Phenomenology · Physics 2025-01-23 E. Megias , E. Ruiz Arriola , L. L. Salcedo

The dual superconductivity is a promising mechanism of quark confinement. In the preceding works, we have given a non-Abelian dual superconductivity picture for quark confinement, and demonstrated the numerical evidences on the lattice. In…

High Energy Physics - Lattice · Physics 2019-08-20 Akihiro Shibata , Seikou Kato , Kei-Ichi Kondo

We propose a three-flavor version of the Polyakov-Nambu-Jona-Lasino (PNJL) model at zero temperature regime, by implementing a traced Polyakov loop ($\Phi$) dependence in the scalar, vector and 't Hooft channel strengths. We study the…

High Energy Physics - Phenomenology · Physics 2021-12-03 O. A. Mattos , T. Frederico , C. H. Lenzi , M. Dutra , O. Lourenço

We construct a new order parameter for finite temperature QCD by considering the quark condensate for U(1)-valued temporal boundary conditions for the fermions. Fourier transformation with respect to the boundary condition defines the dual…

High Energy Physics - Lattice · Physics 2008-11-26 Erek Bilgici , Falk Bruckmann , Christof Gattringer , Christian Hagen

We consider the SU(2) lattice gauge theory at finite temperature in (d+1) dimensions, with different couplings $\beta_t$ and $\beta_s$ for timelike and spacelike plaquettes. By using the character expansion of the Wilson action and…

High Energy Physics - Lattice · Physics 2009-10-28 M. Billo' , M. Caselle , A. D'Adda , S. Panzeri

We investigate chiral and deconfinement transitions in the framework of the strong coupling lattice QCD for color SU(3) with one species of unrooted staggered fermion at finite temperature and quark chemical potential. We take account of…

High Energy Physics - Lattice · Physics 2011-02-28 Takashi Z. Nakano , Kohtaroh Miura , Akira Ohnishi

We study the machine learning techniques applied to the lattice gauge theory's critical behavior, particularly to the confinement/deconfinement phase transition in the SU(2) and SU(3) gauge theories. We find that the neural network, trained…

High Energy Physics - Lattice · Physics 2021-01-20 D. L. Boyda , M. N. Chernodub , N. V. Gerasimeniuk , V. A. Goy , S. D. Liubimov , A. V. Molochkov

QCD with infinite heavy quark masses exhibits a first-order thermal transition which is driven by the spontaneous breaking of the global $\mathcal{Z}_3$ center symmetry. We analyze the corresponding order parameter, namely the Polyakov loop…

High Energy Physics - Lattice · Physics 2022-12-21 Ruben Kara , Szabolcs Borsanyi , Zoltan Fodor , Daniel A. Godzieba , Paolo Parotto , Denes Sexty

We discuss the renormalized free energy of a heavy quark anti-quark pair in the color singlet channel for quenched and full QCD at finite temperature. The temperature and mass dependence, as well as its short distance behavior is analyzed.…

High Energy Physics - Lattice · Physics 2009-11-10 O. Kaczmarek , F. Karsch , P. Petreczky , F. Zantow

We compute the renormalon ambiguity of the static potential, in the limit of a large number of flavors. An extrapolation of the QED result to QCD implies that the large distance behavior of the quark potential is arbitrary in perturbation…

High Energy Physics - Phenomenology · Physics 2016-09-01 Ugo Aglietti , Zoltan Ligeti

A first order phase transition leading to deconfinement and chiral restoration is a likely possibility for QCD, at least in some region of the temperature-density plane. A signal for a unique transition is that the order parameters for such…

High Energy Physics - Phenomenology · Physics 2009-10-22 A. Barducci , R. Casalbuoni , G. Pettini , R. Gatto

We present a study of the free energy of parameterized Polyakov loops P in SU(2) and SU(3) lattice gauge theory as a function of the parameters that characterize P. We explore temperatures below and above the deconfinement transition, and…

High Energy Physics - Lattice · Physics 2015-06-05 Dmitri Diakonov , Christof Gattringer , Hans-Peter Schadler

We study the quark mass dependence of the QCD phase transition by an effective potential defined through the distribution function of observables. As a test of the method, we study the first order deconfinement phase transition in the heavy…

High Energy Physics - Lattice · Physics 2010-11-23 H. Saito , S. Aoki , K. Kanaya , H. Ohno , S. Ejiri , T. Hatsuda , Y. Maezawa , T. Umeda

We discuss different aspects of the quark mass dependence of the chiral and deconfinement transitions. We make predictions for locating the deconfining critical point, by analyzing the $m_q$ dependence of the ratio of imaginary and real…

High Energy Physics - Phenomenology · Physics 2009-11-10 Agnes Mocsy

We present a model for quark matter with a density dependent quark-quark (confining) potential, which allows to describe a deconfinement phase transition as the system evolves from a low density assembly of bound structures to a high…

High Energy Physics - Phenomenology · Physics 2016-09-01 W. M. Alberico , M. Nardi , S. Quattrocolo

We identify an observable that could operate as a probe of the quark versus hadron content of a bath of quarks and gluons at finite temperature and chemical potential. To this purpose, we relate the Polyakov and anti-Polyakov loops, which…

High Energy Physics - Phenomenology · Physics 2026-03-04 V. Tomas Mari Surkau , Urko Reinosa

We propose a new quantity which describes the confinement-deconfinement transition based on topological properties of QCD. The quantity which we call the quark number holonomy is defined as the integral of the quark number susceptibility…

High Energy Physics - Phenomenology · Physics 2016-06-09 Kouji Kashiwa , Akira Ohnishi

We give a brief introduction on finite temperature phase transitions in lattice QCD including a discussion on the identification of first order transitions. We present a study of the deconfinement phase transition of one-flavour QCD, using…

High Energy Physics - Lattice · Physics 2007-05-23 C. Alexandrou , A. Boriçi , A. Feo , Ph. de Forcrand , A. Galli , F. Jegerlehner , T. Takaishi

There is a sharp increase in the relative number of degrees of freedom at the deconfining phase transition. Characterizing this increase using the Polyakov Loop model, we find that for a nearly second order deconfining phase transition, the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Adrian Dumitru , Robert D. Pisarski
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