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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 construct an equation of state for Quantum Chromodynamics (QCD) at finite temperature and chemical potentials for baryon number $B$, electric charge $Q$ and strangeness $S$. We use the Taylor expansion method, up to the fourth power for…

High Energy Physics - Phenomenology · Physics 2020-01-23 J. Noronha-Hostler , P. Parotto , C. Ratti , J. M. Stafford

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…

Taylor expansion in powers of baryon chemical potential ($\mu_B$) is an oft-used method in lattice QCD to compute QCD thermodynamics for $\mu_B>0$. Based only upon the few known lowest order Taylor coefficients, it is difficult to discern…

High Energy Physics - Lattice · Physics 2022-01-24 Sourav Mondal , Swagato Mukherjee , Prasad Hegde

The equation of state of Quantum Chromodynamics (QCD) at finite density is currently known only in a limited range in the baryon chemical potential $\mu_B$. This is due to fundamental shortcomings of traditional methods such as Taylor…

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

We calculate a resummed equation of state with lattice QCD simulations at imaginary chemical potentials. This work presents a generalization of the scheme introduced in 2102.06660 to the case of non-zero $\mu_S$, focusing on the line of…

High Energy Physics - Lattice · Physics 2022-06-29 Szabolcs Borsanyi , Zoltan Fodor , Jana N. Guenther , Ruben Kara , Paolo Parotto , Attila Pasztor , Claudia Ratti , Kalman K. Szabo

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…

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

We investigate the Taylor expansion of the baryon number susceptibility, and hence, pressure, in a series in the baryon chemical potential (mu_B) through a lattice simulation with light dynamical staggered quarks at a finer lattice cutoff…

High Energy Physics - Lattice · Physics 2008-12-30 R. V. Gavai , Sourendu Gupta

We present results on the QCD equation of state, obtained with two different improved dynamical staggered fermion actions and almost physical quark masses. Lattice cut-off effect are discussed in detail as results for three different…

High Energy Physics - Lattice · Physics 2008-10-06 Christian Schmid , for RBC-Bielefeld , HotQCD Collaborations

We present first results from a first-principles calculation of the QCD equation of state to $\mathcal{O}(\mu_B^4)$, where $\mu_B$ is the baryon chemical potential. We find that second-order corrections are sufficient for a large part of…

High Energy Physics - Lattice · Physics 2015-06-22 Prasad Hegde

We present an N_t=4 lattice study 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 2009-11-10 F. Csikor , G. I. Egri , Z. Fodor , S. D. Katz , K. K. Szabo , A. I. Toth

We present results from an ongoing calculation of the QCD equation of state at finite baryon chemical potential $\mu_B$. We use the method of Taylor expansions to circumvent the sign problem and calculate the expansion coefficients to sixth…

High Energy Physics - Lattice · Physics 2014-12-23 Prasad Hegde

We present a novel construction of the QCD equation of state (EoS) at finite baryon density. Our work combines a recently proposed resummation scheme for lattice QCD results with the universal critical behavior at the QCD critical point.…

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

Taylor expansion of the thermodynamic potential in powers of the (baryo)chemical potential $\mu_B$ is a well-known method to bypass the Sign Problem of Lattice QCD. Due to the difficulty in calculating the higher order Taylor coefficients,…

High Energy Physics - Lattice · Physics 2022-08-12 Sabarnya Mitra , Prasad Hegde , Christian Schmidt

We explore the QCD equation of state at finite baryon density through an expansion in baryon number fugacity, making use of the recent lattice data on the four leading Fourier coefficients of the expansion. A state-of-the-art description of…

High Energy Physics - Phenomenology · Physics 2019-05-06 Volodymyr Vovchenko , Jan Steinheimer , Owe Philipsen , Horst Stoecker

We present continuum-estimated $(2+1)$-flavor lattice QCD results for the leading-order Taylor expansion coefficients of the equation of state in strong magnetic fields and at nonzero baryon chemical potential. Simulations employ the highly…

High Energy Physics - Lattice · Physics 2025-08-12 Heng-Tong Ding , Jin-Biao Gu , Arpith Kumar , Sheng-Tai Li

We present results on the QCD equation of state, obtained with two different improved dynamical staggered fermion actions and almost physical quark masses. Lattice cut-off effects are discussed in detail as results for three different…

High Energy Physics - Lattice · Physics 2015-05-13 Christian Schmidt , for RBC-Bielefeld , HotQCD Collaborations
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