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In quenched QCD the Polyakov loop is an order parameter of the deconfinement transition, but with decreasing quark mass, the peak in the Polyakov loop susceptibility becomes less pronounced, and it loses its interpretation as an indicator…

High Energy Physics - Lattice · Physics 2024-01-04 David A. Clarke , Olaf Kaczmarek , Frithjof Karsch , Anirban Lahiri

Under the assumption of the Abelian dominance in QCD, we show that chiral condensate is locally present around a QCD monopole. The appearance of the chiral condensate around a GUT monopole was shown in the previous analysis of the Rubakov…

High Energy Physics - Phenomenology · Physics 2017-08-02 Aiichi Iwazaki

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

Using the overlap Dirac operator I show that, contrary to some expectations, even well above the critical temperature there is not necessarily a gap in the Dirac spectrum in pure SU(2) gauge theory. This happens when the Polyakov loop and…

High Energy Physics - Lattice · Physics 2009-04-14 Tamas G. Kovacs

A first attempt to accommodate the chiral and deconfining phase transitions of QCD in the bottom-up holographic framework is given. We constrain the relation between dilaton field $\phi$ and metric warp factor $A_e$ and get several…

High Energy Physics - Phenomenology · Physics 2016-05-04 Zhen Fang , Song He , Danning Li

While the Polyakov loop is an order parameter of the deconfinement transition in the heavy quark mass regime of QCD, its sensitivity to the deconfinement of light, dynamical quarks in QCD is not apparent. On the other hand, the quark mass…

High Energy Physics - Lattice · Physics 2021-02-08 David Anthony Clarke , Olaf Kaczmarek , Frithjof Karsch , Anirban Lahiri , Mugdha Sarkar

We investigate temperature fluctuations in hot QCD matter using a 3-flavor Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model. The high-order cumulant ratios $R_{n2}$ ($n>2$) exhibit non-monotonic variations across the chiral phase…

Nuclear Theory · Physics 2026-04-23 He Liu , Peng Wu , Hong-Ming Liu , Peng-Cheng Chu

We analyse the role of the quark backreaction on the gauge-field dynamics and its impact on the Polyakov-loop potential. Based on our analysis we construct an improved Polyakov-loop potential that can be used in future model studies. In the…

High Energy Physics - Phenomenology · Physics 2013-03-18 Rainer Stiele , Lisa M. Haas , Jens Braun , Jan M. Pawlowski , Juergen Schaffner-Bielich

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 two effective models for QCD, the Nambu-Jona-Lasinio -model and the linear sigma model extended by including a Polyakov loop potential, which is fitted to reproduce pure gauge theory thermodynamics, and a coupling between the…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Kahara , K. Tuominen

The behavior of the mesons and diquarks is studied at finite temperatures, chemical potentials and densities, notably when the color superconductivity is taken into account. The Nambu and Jona-Lasinio model complemented by a Polyakov loop…

High Energy Physics - Phenomenology · Physics 2025-09-04 Eric Blanquier

In mean-field approximation, the SU($4$) Polyakov linear - sigma model (PLSM) is constructed in order to characterize the quark-hadron phase structure in a wide range of temperatures and densities. The chiral condensates $\sigma_l$,…

Nuclear Theory · Physics 2016-11-10 Abdel Magied Diab , Azar I. Ahmadov , Abdel Nasser Tawfik , Eiman Abou El Dahab

Chiral and deconfinement phase transitions at finite temperature $T$ and quark number chemical potential $\mu$ are simultaneously studied in the quenched dynamical holographic QCD model within the Einstein-Dilaton-Maxwell framework. By…

High Energy Physics - Phenomenology · Physics 2020-04-22 Xun Chen , Danning Li , Defu Hou , Mei Huang

A non-perturbative method of Field Correlators is applied to calculate the Polyakov loop dependence on temperature, $L(T)$, in the 2+1 flavor QCD with small quark masses, so the only relevant scale is the color-electric string tension…

High Energy Physics - Phenomenology · Physics 2019-04-02 R. A Abramchuk , Z. V. Khaidukov , Yu. A. Simonov

The temperature behaviour of meson condensates $<\sigma_0>$ and $<\sigma_8>$ is calculated in the $SU(3)\times SU(3)$-linear sigma model. The couplings of the Lagrangian are fitted to the physical $\pi,K,\eta,\eta'$ masses, the pion decay…

High Energy Physics - Phenomenology · Physics 2010-11-01 D. Metzger , H. Meyer--Ortmanns , H. --J. Pirner

The linear-sigma model, in which information about confining gluons is included through the Polyakov-loop potential (PLSM), is considered in order to perform a systematic study for various magnetic properties of QCD matter under extreme…

High Energy Physics - Phenomenology · Physics 2018-05-07 Abdel Nasser Tawfik , Abdel Magied Diab , T. M. Hussein

We describe how the coupling of the gluonic Polyakov loop to quarks solves different inconsistencies in the standard treatment of chiral quark models at finite temperature at the one quark loop level. Large gauge invariance is incorporated…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Megias , E. Ruiz Arriola , L. L. Salcedo

Based on the three-flavor Polyakov-looped Nambu$-$Jona-Lasinio (pNJL) model, we have studied the structure of the three-dimensional QCD phase diagram with respect to the temperature, the baryon chemical potential, and the isospin chemical…

High Energy Physics - Phenomenology · Physics 2024-02-06 Lu-Meng Liu , Jun Xu , Guang-Xiong Peng

We study the effect of rotation on the confining and chiral properties of QCD using the Polyakov-enhanced linear sigma model coupled to quarks. Working in the homogeneous approximation, we obtain the phase diagram at finite temperature,…

Nuclear Theory · Physics 2026-04-15 Pracheta Singha , Sergiu Busuioc , Victor E. Ambrus , Maxim N. Chernodub

We study the deconfinement transition in two-flavour lattice QCD with dynamical overlap fermions. Our simulations have been carried out on a $16^3 \times 6$ lattice at a pion mass around 500 MeV with a special HMC algorithm without any…

High Energy Physics - Lattice · Physics 2015-02-11 O. A. Kochetkov , V. G. Bornyakov , P. V. Buividovich , N. Cundy