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In this paper, we compute the constrained QCD effective potential up to two-loop order with finite quark mass and chemical potential. We present the explicit calculations by using the double line notation and analytical expressions for…

High Energy Physics - Phenomenology · Physics 2019-05-14 Yun Guo , Qianqian Du

We investigate the quality of the extrapolation procedure employed in Ref. [1] to extract the crossover line at real chemical potential from lattice data at imaginary potential. To this end we employ a functional approach that does not…

High Energy Physics - Phenomenology · Physics 2024-01-15 Julian Bernhardt , Christian S. Fischer

Motivated by lattice QCD studies we investigate the RW transition endpoint at imaginary chemical potential in a two-flavor PNJL model. We focus on the quark-mass dependence of the endpoint using different forms of the Polyakov-loop…

High Energy Physics - Phenomenology · Physics 2011-11-17 David Scheffler , Michael Buballa , Jochen Wambach

The canonical approach for finite density lattice QCD has a numerical instability. This instability makes it difficult to use the method reliably at the finite real chemical potential region. We studied this instability in detail and found…

High Energy Physics - Lattice · Physics 2015-11-18 Shotaro Oka , for Zn-Collaboration

Using GPGPU techniques and multi-precision calculation we developed the code to study QCD phase transition line in the canonical approach. The canonical approach is a powerful tool to investigate sign problem in Lattice QCD. The central…

High Energy Physics - Lattice · Physics 2018-04-18 V. G. Bornyakov , D. Boyda , V. Goy , A. Molochkov , A. Nakamura , A. Nikolaev , V. I. Zakharov

We study the physical mechanism of how an external magnetic field influences the QCD quark condensate. Two competing mechanisms are identified, both relying on the interaction between the magnetic field and the low quark modes. While the…

High Energy Physics - Lattice · Physics 2015-06-15 F. Bruckmann , G. Endrodi , T. G. Kovacs

We discuss the thermodynamics of two-colour QCD with four flavours of staggered quarks on 8^3x4 and 16^3x4 lattices. In our simulations we use the Naik action for the fermions and a (1,2) tree-level improved gauge action. We analyze the…

High Energy Physics - Lattice · Physics 2016-09-01 O. Kaczmarek , F. Karsch , E. Laermann

We study properties of the thermal transition in QCD, using anisotropic, fixed-scale lattice simulations with $N_f = 2+1$ flavours of Wilson fermion. Observables are compared for two values of the pion mass, focusing on chiral properties.…

High Energy Physics - Lattice · Physics 2020-07-09 G. Aarts , C. Allton , J. Glesaaen , S. Hands , B. Jäger , S. Kim , M. P. Lombardo , A. A. Nikolaev , S. M. Ryan , J. -I. Skullerud , L. -K. Wu

The relation between the deconfinement and chiral phase transition is explored in the framework of an Polyakov-loop-extended two-flavor quark-meson (PQM) model. In this model the Polyakov loop dynamics is represented by a background…

High Energy Physics - Phenomenology · Physics 2008-11-26 Bernd-Jochen Schaefer , Jan M. Pawlowski , Jochen Wambach

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 evaluate thermodynamic observables such as pressure, baryon number, entropy and energy density, as well as the second and fourth order baryon number cumulants in the phase structure of QCD. The intertwined confinement and chiral dynamics…

High Energy Physics - Phenomenology · Physics 2025-04-08 Yi Lu , Fei Gao , Yu-xin Liu , Jan M. Pawlowski

The deconfinement phase transition in large-$N_c$ QCD is studied within the framework of an effective Polyakov-loop model, where the potential has a U(1) symmetry originating in the large-$N_c$ limit of a Z$_{N_c}$-symmetric model. At the…

High Energy Physics - Theory · Physics 2013-02-12 Yves Brihaye , Fabien Buisseret

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

I review the growing theoretical indications that at high densities color SU(3) gauge symmetry is spontaneously broken by the formation of a quark pair condensate. This leads to a rich phase structure for QCD as a function of temperature…

High Energy Physics - Lattice · Physics 2009-10-31 M. Alford

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

In preparation of lattice studies of the two-color QCD phase diagram we study chiral restoration and deconfinement at finite temperature with two flavors of staggered quarks using an RHMC algorithm on GPUs. We first study unquenching…

High Energy Physics - Lattice · Physics 2013-11-19 David Scheffler , Christian Schmidt , Dominik Smith , Lorenz von Smekal

The canonical partition function is related to the grand canonical one through the fugacity expansion and is known to have no sign problem. In this paper we perform the fugacity expansion by a method of the hopping parameter expansion in…

High Energy Physics - Lattice · Physics 2015-04-17 Atsushi Nakamura , Shotaro Oka , Yusuke Taniguchi

The Polyakov-quark-meson (PQM) model, which combines chiral as well as deconfinement aspects of strongly interacting matter is introduced for three light quark flavors. An analysis of the chiral and deconfinement phase transition of the…

High Energy Physics - Phenomenology · Physics 2010-04-22 Bernd-Jochen Schaefer , Mathias Wagner , Jochen Wambach

In the London limit of the Ginzburg-Landau theory (Abelian Higgs model), vortex dipoles (small vortex loops) are treated as a grand canonical ensemble in the dilute gas approximation. The summation over these objects with the most general…

High Energy Physics - Theory · Physics 2009-10-31 Dmitri Antonov

We consider QCD at very low temperatures and non-zero quark chemical potential from lattice Monte Carlo simulations of the two-color theory in a very small spatial volume (the attoscale). In this regime the quark number rises in discrete…

High Energy Physics - Lattice · Physics 2015-03-17 Simon Hands , Timothy J. Hollowood , Joyce C. Myers
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