English
Related papers

Related papers: Towards finite density QCD with Taylor expansions

200 papers

We map out the QCD phase structure at finite temperature and chemical potential for 2-flavour and 2 + 1-flavour QCD. This is done within a generalised functional approach to QCD put forward in arXiv:2002.07500 [hep-ph]. Specifically we…

High Energy Physics - Phenomenology · Physics 2021-08-18 Fei Gao , Jan M. Pawlowski

We put forward a Polyakov-loop extended quark meson model, where matter as well as glue fluctuations are taken into account, cf. [1]. The latter are included via a Polyakov-loop potential. Usually such a glue potential is based on…

High Energy Physics - Phenomenology · Physics 2014-01-09 Tina K. Herbst , Mario Mitter , Jan M. Pawlowski , Bernd-Jochen Schaefer , Rainer Stiele

We simulate lattice QCD with two flavors of Wilson fermions at imaginary baryon chemical potential. Results for the baryon number density computed in the confining and deconfining phases at imaginary baryon chemical potential are used to…

High Energy Physics - Lattice · Physics 2018-08-29 V. G. Bornyakov , D. L. Boyda , V. A. Goy , H. Iida , A. V. Molochkov , Atsushi Nakamura , A. A. Nikolaev , V. I. Zakharov , M. Wakayama

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

In this talk I present the logic behind, and examine the reliability of, estimates of the critical end point (CEP) of QCD using the Taylor expansion method.

High Energy Physics - Lattice · Physics 2008-11-26 R. V. Gavai , Sourendu Gupta

The QCD thermodynamics on the lattice provides fundamental theoretical grounds to analyze the various experimental data in relativistic heavy ion collisions. So far, most of the numerical simulations on the lattice have been performed by…

High Energy Physics - Lattice · Physics 2008-11-26 S. Ejiri , T. Hatsuda , N. Ishii , Y. Maezawa , N. Ukita , S. Aoki , K. Kanaya

We extend our previous study of the QCD phase structure in the heavy quark region to non-zero chemical potentials. To identify the critical point where the first order deconfining transition terminates, we study an effective potential…

High Energy Physics - Lattice · Physics 2012-02-29 H. Saito , S. Aoki , K. Kanaya , H. Ohno , S. Ejiri , Y. Nakagawa , T. Hatsuda , T. Umeda

Taylor expansions of analytic functions are considered with respect to two points. Cauchy-type formulas are given for coefficients and remainders in the expansions, and the regions of convergence are indicated. It is explained how these…

Classical Analysis and ODEs · Mathematics 2007-05-23 Jose L. Lopez , Nico M. Temme

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 propose a novel Bayesian method to analytically continue observables to real baryochemical potential $\mu_B$ in finite density QCD. Taylor coefficients at $\mu_B=0$ and data at imaginary chemical potential $\mu_B^I$ are treated on equal…

High Energy Physics - Lattice · Physics 2021-03-11 Attila Pásztor , Zsolt Szép , Gergely Markó

Using (2+1)-flavor lattice QCD data, we refine the parameters of an analytical holographic model via gradient descent optimization to precisely locate the critical endpoint in the $T-\mu$ plane. Specifically, we calibrate the model using…

High Energy Physics - Phenomenology · Physics 2025-12-02 Xun Chen , Floriana Giannuzzi , Stefano Nicotri

The study of QCD phase diagram is very interesting, but we have never understood it well. This is because we face a problem at finite density in QCD. The problem is called sign problem. It causes a decrease of the calculation accuracy. This…

High Energy Physics - Lattice · Physics 2018-02-15 Shotaro Oka

With combined hopping parameter and strong coupling expansions, we calculate a dimensionally reduced Polyakov-loop effective theory valid for heavy quarks at nonzero temperature and arbitrary chemical potential. We numerically compute the…

High Energy Physics - Lattice · Physics 2015-06-11 Michael Fromm , Jens Langelage , Stefano Lottini , Mathias Neuman , Owe Philipsen

We compare recent lattice studies of QCD thermodynamics at non-zero quark chemical potential with the thermodynamics of a hadron resonance gas. We argue that for T < Tc the equation of state derived from Monte--Carlo simulations of two…

High Energy Physics - Phenomenology · Physics 2009-11-10 F. Karsch , K. Redlich , A. Tawfik

We report the measurement of quark number susceptibilities (QNS) and their temperature dependence from simulations of QCD with two flavours of light dynamical staggered quarks at finite temperature on 8 * 32^3 lattices. From the radius of…

High Energy Physics - Lattice · Physics 2017-04-05 Saumen Datta , Rajiv V. Gavai , Sourendu Gupta

QCD at large density reveals a rich phase structure, ranging from a potential critical end point and inhomogeneous phases or moat regimes to color superconducting ones with competing order effects. Resolving this region in the phase diagram…

High Energy Physics - Theory · Physics 2023-09-15 Friederike Ihssen , Jan M. Pawlowski , Franz R. Sattler , Nicolas Wink

We investigate the properties of the half-filling point in lattice QCD (LQCD), in particular the disappearance of the sign problem and the emergence of an apparent particle-hole symmetry, and try to understand where these properties come…

High Energy Physics - Lattice · Physics 2016-02-22 Tobias Rindlisbacher , Philippe de Forcrand

We report our recent numerical studies on two-color QCD with Wilson fermions. First the phase structure of the system in (kappa,mu)-plane is analyzed by measuring Polyakov line, baryon number density, gluon energy density and Polyakov line…

High Energy Physics - Lattice · Physics 2009-11-07 Shin Muroya , Atsushi Nakamura , Chiho Nonaka

This thesis describes work done by me during my tenure as a Ph.D. student at the Centre for High Energy Physics, Indian Institute of Science, Bangalore. Chapter 1 is a brief introduction to QCD. In Chapter 2, we formulate QCD in the…

High Energy Physics - Lattice · Physics 2007-05-23 Raghunath Ratabole

QCD lattice simulations with 2+1 flavours typically start at rather large up-down and strange quark masses and extrapolate first the strange quark mass to its physical value and then the up-down quark mass. An alternative method of tuning…