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Charting the phase diagram of Quantum Chromodynamics (QCD) at large density is a challenging task due to the complex action problem in lattice simulations. Through simulations at imaginary baryon chemical potential $\mu_B$ we observe that,…

High Energy Physics - Lattice · Physics 2025-11-03 Szabolcs Borsányi , Zoltán Fodor , Jana N. Guenther , Piyush Kumar , Paolo Parotto , Attila Pásztor , Chik Him Wong

Taylor expansion of the equation of state of QCD suffers from shortcomings at chemical potentials $\mu_B \geq (2-2.5)T$. First, one faces difficulties inherent in performing such an expansion with a limited number of coefficients; second,…

High Energy Physics - Lattice · Physics 2021-06-16 S. Borsanyi , Z. Fodor , J. N. Guenther , R. Kara , S. D. Katz , P. Parotto , A. Pasztor , C. Ratti , K. K. Szabo

We present results of a simulation of 2-flavor QCD on a 4x16^3 lattice using p4-improved staggered fermions with bare quark mass m/T=0.4. Derivatives of the thermodynamic grand canonical partition function Z(V,T,mu_u,mu_d) with respect to…

High Energy Physics - Lattice · Physics 2008-11-26 C. R. Allton , M. Doering , S. Ejiri , S. J. Hands , O. Kaczmarek , F. Karsch , E. Laermann , K. Redlich

We present recent lattice results on QCD thermodynamics at non-vanishing baryon number density obtained from a 6th order Taylor expansion in the chemical potential. Results for bulk thermodynamic observables, in particular for fluctuations…

High Energy Physics - Lattice · Physics 2009-11-10 Frithjof Karsch

We determine the equation of state of QCD at finite chemical potential, to order $(\mu_B/T)^6$, for a system of 2+1 quark flavors. The simulations are performed at the physical mass for the light and strange quarks on several lattice…

High Energy Physics - Lattice · Physics 2018-03-14 J. Gunther , R. Bellwied , S. Borsanyi , Z. Fodor , S. D. Katz , A. Pasztor , C. Ratti

We provide the most accurate results for the QCD transition line so far. We optimize the definition of the crossover temperature $T_c$, allowing for its very precise determination, and extrapolate from imaginary chemical potential up to…

We investigate the reliability of the Taylor expansion method in QCD with isospin chemical potentials using lattice simulations. By comparing the expansion of the number density to direct results, the range of validity of the leading- and…

High Energy Physics - Lattice · Physics 2019-02-06 Bastian B. Brandt , Gergely Endrodi

We present results on baryon number, strangeness and electric charge fluctuations in QCD at non-zero density and temperature obtained from lattice calculations with almost physical quark masses. At vanishing chemical potential, i.e. under…

High Energy Physics - Lattice · Physics 2008-11-26 C. Schmidt , for RBC-Bielefeld Collaboration

We propose a new method to investigate the existence and location of the conjectured high-temperature critical point of strongly interacting matter via contours of constant entropy density. By approximating these lines as a power series in…

High Energy Physics - Phenomenology · Physics 2026-02-18 Hitansh Shah , Mauricio Hippert , Jorge Noronha , Claudia Ratti , Volodymyr Vovchenko

We present results of our simulations of QCD with two light dynamical quarks on a 32^3 X 8 lattice at a current quark mass tuned to have the Goldstone pion mass of about 230 MeV. Employing the Taylor expansion method we proposed earlier, we…

High Energy Physics - Lattice · Physics 2015-06-11 Saumen Datta , Rajiv V. Gavai , Sourendu Gupta

We calculate the pressure (p), the energy density (\epsilon) and the baryon density (n_B) of QCD at finite temperatures (T) and chemical potentials (\mu). The recently proposed overlap improving multi-parameter reweighting technique is used…

High Energy Physics - Lattice · Physics 2009-11-07 F. Csikor , G. I. Egri , Z. Fodor , S. D. Katz , K. K. Szabo , A. I. Toth

A new approach is presented to explore the singularity structure of lattice QCD in the complex chemical potential plane. Our method can be seen as a combination of the Taylor expansion and analytic continuation approaches. Its novelty lies…

For a QCD chiral critical point to exist, the parameter region of small quark masses for which the finite temperature transition is first-order must expand when the chemical potential is turned on. This can be tested by a Taylor expansion…

High Energy Physics - Lattice · Physics 2008-11-26 Philippe de Forcrand , Seyong Kim , Owe Philipsen

We discuss the phase structure and the equation of state for QCD at non-zero temperature and density. Derivatives of $\ln Z$ with respect to quark chemical potential $\mu_q$ up to fourth order are calculated for 2-flavor QCD, enabling…

High Energy Physics - Lattice · Physics 2008-11-26 Shinji Ejiri , Chris R. Allton , Simon J. Hands , Olaf Kaczmarek , Frithjof Karsch , Edwin Laermann , Christian Schmidt

We present results on the QCD phase diagram for mu_B <= pi T. Our simulations are performed with an imaginary chemical potential mu_I for which the fermion determinant is positive. On an 8^3 x 4 lattice with 2 flavors of staggered quarks,…

High Energy Physics - Lattice · Physics 2010-04-05 Ph. de Forcrand , O. Philipsen

We provide the first lattice-QCD estimate of the crossover line down to $T\simeq108$~MeV. We introduce a new method that combines the Lee-Yang edge in the complex plane of baryon chemical potential $\mu_B$ with universal chiral scaling to…

High Energy Physics - Lattice · Physics 2026-03-18 D. A. Clarke , H. -T. Ding , J. -B. Gu , S. -T. Li , Swagato Mukherjee , P. Petreczky , C. Schmidt , H. -T. Shu , K. -F. Ye

We discuss the Taylor expansion approach to non-zero baryon chemical potential ($\mu_B$) and present results on expanion coefficients of the pressure and energy density up to the 6-th order in $\mu_B$. Calculations have been performed with…

High Energy Physics - Lattice · Physics 2010-01-21 Chuan Miao , Christian Schmidt , for RBC-Bielefeld Collaboration

A critical point (E) is expected in QCD on the temperature (T) versus baryonic chemical potential (\mu) plane. Using a recently proposed lattice method for \mu \neq 0 we study dynamical QCD with n_f=2+1 staggered quarks of physical masses…

High Energy Physics - Lattice · Physics 2009-11-10 Z. Fodor , S. D. Katz

We calculated the QCD equation of state using Taylor expansions that include contributions from up to sixth order in the baryon, strangeness and electric charge chemical potentials. Calculations have been performed with the Highly Improved…

We present N_t=4 lattice results for the equation of state of 2+1 flavour staggered, dynamical QCD at finite temperature and chemical potential. We use the overlap improving multi-parameter reweighting technique to extend the equation of…

High Energy Physics - Lattice · Physics 2008-11-26 F. Csikor , G. I. Egri , Z. Fodor , S. D. Katz , K. K. Szabo , A. I. Toth