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Related papers: Towards finite density QCD with Taylor expansions

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The first results on lattice at finite temperature $T$ and chemical potential $\mu$ with 2+1 flavors of Wilson quarks are presented. We have studied the dependence of chiral phase transition and deconfinement phase transition on quark mass.…

High Energy Physics - Lattice · Physics 2007-05-23 He-Sheng Chen , Xiang-Qian Luo

We evaluate quark number densities at imaginary chemical potential by lattice QCD with clover-improved two-flavor Wilson fermion. The quark number densities are extrapolated to the small real chemical potential region by assuming some…

High Energy Physics - Lattice · Physics 2014-10-31 Junichi Takahashi , Junpei Sugano , Masahiro Ishii , Hiroaki Kouno , Masanobu Yahiro

We have studied finite temperature complex static quark-antiquark potentials for 2+1 flavor QCD using highly improved staggered action with physical strange quark masses and light quark masses corresponding to a pion mass of 161 MeV. We…

Knowledge of the screening masses at finite chemical potential can provide insight into the nature of the QCD phase diagram. However, lattice studies at finite chemical potential suffer from the well-known issue of the sign problem, which…

High Energy Physics - Lattice · Physics 2022-11-21 Rishabh Thakkar , Prasad Hegde

In this work, we have carried out lattice simulations of $(2+1)$-flavor QCD using highly improved staggered quarks at the physical pion mass on $32^3 \times 8$ and $48^3 \times 12$ lattices, with magnetic field strengths ranging up to 0.8…

High Energy Physics - Lattice · Physics 2025-02-06 Heng-Tong Ding , Jin-Biao Gu , Arpith Kumar , Sheng-Tai Li

The Polyakov-extended quark-meson model (PQM) is investigated beyond mean-field. This represents an important step towards a fully dynamical QCD computation. Both the quantum fluctuations to the matter sector and the back-reaction of the…

High Energy Physics - Phenomenology · Physics 2011-01-04 Tina Katharina Herbst , Jan M. Pawlowski , Bernd-Jochen Schaefer

We study scaling behavior of a chiral order parameter performing a simulation of two-flavor QCD with improved Wilson quarks. It has been shown that the scaling behavior of the chiral order parameter defined by a Ward-Takahashi identity…

High Energy Physics - Lattice · Physics 2015-03-18 S. Ejiri , Y. Nakagawa , S. Aoki , K. Kanaya , H. Ohno , H. Saito , T. Hatsuda , Y. Maezawa , T. Umeda

We introduce the order-separated Grassmann higher-order tensor renormalization group (OS-GHOTRG) method for QCD with staggered quarks in the strong-coupling expansion. The method allows us to determine the expansion coefficients of the…

High Energy Physics - Lattice · Physics 2026-03-26 Thomas Samberger , Jacques Bloch , Robert Lohmayer , Tilo Wettig

Using high-statistics datasets generated in (2+1)-flavor QCD calculations at finite temperature we construct estimators for the radius of convergence from an eighth order series expansion of the pressure as well as the number density. We…

High Energy Physics - Lattice · Physics 2023-01-11 Jishnu Goswami , Frithjof Karsch , Swagato Mukherjee , Christian Schmidt

We study the finite-temperature critical point of QCD in the heavy-quark region by a scaling study of the Binder cumulant on large lattices. Extending our previous study at $N_t=4$, we perform simulations on $N_t=6$ and 8 lattices with…

High Energy Physics - Lattice · Physics 2024-12-03 Kazuyuki Kanaya , Ryo Ashikawa , Shinji Ejiri , Masakiyo Kitazawa , Hiroto Sugawara

Normal modes are intimately related to the quadratic approximation of a potential at its hyperbolic equilibria. Here we extend the notion to the case where the Taylor expansion for the potential at a critical point starts with higher order…

Dynamical Systems · Mathematics 2022-08-05 Giuseppe Gaeta , Sebastian Walcher

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 perturbative three-loop result for the thermodynamic potential of QCD at finite temperature and chemical potential as obtained in the framework of dimensional reduction is compared with the exact result in the limit of large flavor…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Ipp , A. Rebhan , A. Vuorinen

The QCD baryon number density can formally be expanded into a Laurent series in fugacity, which is a relativistic generalization of Mayer's cluster expansion. We determine properties of the cluster expansion in a model with a phase…

High Energy Physics - Phenomenology · Physics 2020-01-23 Volodymyr Vovchenko , Carsten Greiner , Volker Koch , Horst Stoecker

We introduce a new non-Hermitian random matrix model for QCD with a baryon chemical potential. This model is a direct chiral extension of a previously studied model that interpolates between the Wigner-Dyson and Ginibre ensembles. We…

High Energy Physics - Theory · Physics 2009-11-10 James C. Osborn

We examine the isentropic QCD equation of state within a quasi-particle model being adjusted to first principle QCD calculations of two quark flavours. In particular, we compare with Taylor expansion coefficients of energy and entropy…

High Energy Physics - Phenomenology · Physics 2009-11-11 Marcus Bluhm , Burkhard Kampfer , Robert Schulze , Daniel Seipt

We study an effective theory of QCD at high density in detail, including the finite temperature effects and the leading order correction in $1/\mu$ expansion. We investigate the Cooper pair gap equation and find that the color-flavor…

High Energy Physics - Phenomenology · Physics 2009-10-31 Deog Ki Hong

Finite density lattice QCD usually relies on extrapolations in baryon chemical potential ($\mu_B$), be it Taylor expansion, T' expansion (\cite{Borsanyi:2021sxv}) or analytical continuation. However, their range of validity is difficult to…

In order to quantify the universal properties of the chiral phase transition in (2+1)-flavor QCD, we make use of an improved, renormalized order parameter for chiral symmetry breaking which is obtained as a suitable difference of the…

High Energy Physics - Lattice · Physics 2024-11-28 Sabarnya Mitra , Frithjof Karsch , Sipaz Sharma

A general introduction into the subject aimed at a general theoretical physics audience. We introduce the sign problem posed by finite density lattice QCD, and we discuss the main methods proposed to circumvent it, with emphasis on the…

High Energy Physics - Lattice · Physics 2008-11-26 M. P. Lombardo
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