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We investigate the critical end point of QCD with two flavours of light dynamical quarks at finite lattice cutoff a=1/4T using a Taylor expansion of the baryon number susceptibility. We find a strong volume dependence of the position of the…

High Energy Physics - Lattice · Physics 2010-04-06 R. V. Gavai , Sourendu Gupta

We study lattice QCD in the limit of infinite gauge coupling on a discrete spatial yet continuous Euclidean time lattice at finite baryon chemical potential $\mu_B$. The continuous time framework is based on sending $N_\tau\rightarrow…

High Energy Physics - Lattice · Physics 2019-12-23 Marc Klegrewe , Wolfgang Unger

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

We map out the QCD crossover line $\frac{T_c(\mu_B)}{T_c(0)} = 1 - \kappa_2 \left( \frac{\mu_B}{T_c(0)} \right)^2 - \kappa_4 \left( \frac{\mu_B}{T_c(0)} \right)^4 + \mathcal{O}(\mu_B^6)$ for the first time up to $\mathcal{O}(\mu_B^4)$ for a…

High Energy Physics - Lattice · Physics 2019-02-20 Patrick Steinbrecher

We present results for the QCD Equation of State at non-zero chemical potentials corresponding to the conserved charges in QCD using Taylor expansion upto sixth order in the baryon number, electric charge and strangeness chemical…

High Energy Physics - Lattice · Physics 2018-03-14 Sayantan Sharma , for Bielefeld-BNL-CCNU collaboration

We obtain the baryon number density, n, and the excess contribution to the pressure, Delta P, at finite chemical potential, mu_B, and temperature, T, by resumming the Taylor series expansion in a lattice computation with lattice spacing of…

High Energy Physics - Lattice · Physics 2014-08-13 Sourendu Gupta , Nikhil Karthik , Pushan Majumdar

Most lattice studies of hot and dense QCD matter rely on extrapolation from zero or imaginary chemical potentials. The ill-posedness of numerical analytic continuation puts severe limitations on the reliability of such methods. We studied…

High Energy Physics - Lattice · Physics 2022-01-05 Attila Pasztor , Szabolcs Borsanyi , Zoltan Fodor , Matteo Giordano , Sandor D. Katz , Daniel Nogradi , Chik Him Wong

We present a new equation of state for QCD in which the temperature $T$ and the three chemical potentials for baryon number $\mu_B$, electric charge $\mu_Q$ and strangeness $\mu_S$ can be varied independently. This result is based on a…

We perform the first direct determination of the position of the leading singularity of the pressure in the complex chemical potential $\mu_B$ plane in lattice QCD using numerical simulations with 2-stout improved rooted staggered fermions.…

High Energy Physics - Lattice · Physics 2021-02-03 Matteo Giordano , Konel Kapas , Sandor D. Katz , Daniel Nogradi , Attila Pasztor

The phase diagram of QCD, as a function of temperature T and quark chemical potential mu, may contain a critical point (mu_E,T_E) whose non-perturbative nature makes it a natural object of lattice studies. However, the sign problem prevents…

High Energy Physics - Lattice · Physics 2009-11-13 Ph. de Forcrand

The thermodynamic singularities of QCD in the plane of complex baryo-chemical potential mu are studied. Predictions are made using scaling and universality arguments in the vicinity of the massless quark limit. The results are illustrated…

High Energy Physics - Lattice · Physics 2009-11-11 M. A. Stephanov

The thermal restoration of chiral symmetry in QCD is known to proceed by an analytic crossover, which is widely expected to turn into a phase transition with a critical endpoint as the baryon density is increased. In the absence of a…

High Energy Physics - Lattice · Physics 2021-11-08 Owe Philipsen

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 compare higher moments of baryon numbers measured at the RHIC heavy ion collision experiments with those by the lattice QCD calculations. We employ the canonical approach, in which we can access the real chemical potential regions…

High Energy Physics - Lattice · Physics 2018-11-07 D. Boyda , V. G. Bornyakov , V. Goy , A. Molochkov , A. Nakamura , A. Nikolaev , V. I. Zakharov

When the free energy density of QCD is expanded in a series in the chemical potential, mu, the Taylor coefficients are the non-linear quark number susceptibilities. We show that these depend on the prescription for putting chemical…

High Energy Physics - Lattice · Physics 2009-11-10 Rajiv V. Gavai , Sourendu Gupta

We investigate the critical end point (CEP) of QCD with two flavours of light dynamical quarks at finite lattice cutoff a=1/4T using a Taylor expansion of the baryon number susceptibility. We find a strong volume dependence of the position…

High Energy Physics - Lattice · Physics 2007-05-23 Rajiv Gavai , Sourendu Gupta

We compute the coefficients $c_2(T,B)$ and $c_4(T,B)$ of the Taylor expansion for the pressure in powers of $\mu_B/T$ in the presence of a large magnetic field within perturbative QCD at finite temperature and baryon density up to two-loops…

High Energy Physics - Phenomenology · Physics 2026-01-14 Eduardo S. Fraga , Letícia F. Palhares , Tulio E. Restrepo

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

We propose a novel method to locate the QCD critical point by constructing an expansion along contours of constant entropy density. Applying two independent analysis of lattice QCD data at zero baryon chemical potential, we find a critical…

High Energy Physics - Phenomenology · Physics 2025-10-16 Hitansh Shah , Mauricio Hippert , Jorge Noronha , Claudia Ratti , Volodymyr Vovchenko

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…

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