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Related papers: Taylor expansions in chemical potential

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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 investigate the behavior of the chiral condensate in lattice QCD at finite temperature and finite chemical potential. The study was done using two flavors of light quarks and with a series of $\beta$ and $ma$ at the lattice size…

High Energy Physics - Lattice · Physics 2015-07-29 Rui Wang , Ying Chen , Ming Gong , Chuan Liu , Yu-Bin Liu , Zhao-Feng Liu , Jian-Ping Ma , Xiang-Fei Meng , Jian-Bo Zhang

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…

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

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 compare Taylor expansion and a modified variant of Taylor expansion, which incorporates features of the fugacity series, for expansions in the chemical potential around a zero-density lattice field theory. As a first test we apply both…

High Energy Physics - Lattice · Physics 2014-04-09 Max Wilfling , Christof Gattringer

We present preliminary results for the curvature of the pseudocritical line and susceptibilities in Nf = 2 + 1 flavor QCD. The computations are carried out on lattice sizes of 16x16x16x4, at matching parameters of early work of the…

High Energy Physics - Lattice · Physics 2015-06-15 E. Laermann , F. Meyer , M. P. Lombardo

We investigate the phase of the quark determinant with finite chemical potential in lattice QCD using both analytic and numerical methods. Applying the winding number expansion and the hopping parameter expansion to the logarithm of the…

High Energy Physics - Lattice · Physics 2013-05-30 Shinji Takeda , Yoshinobu Kuramashi , Akira Ukawa

The Taylor expansion of thermodynamic observables at a finite baryon chemical potential $\mu_B$ is an oft-used method to circumvent the well-known sign problem of Lattice QCD. Owing to the associated difficulty and limitations of precision…

High Energy Physics - Phenomenology · Physics 2023-02-14 Sabarnya Mitra , Prasad Hegde , Christian Schmidt

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

Exponential resummation to all orders in $\mu_B$ is a promising scheme which can capture contributions to all orders in $\mu_B$ by considering only the first few Taylor coefficients in the Taylor expansion of thermodynamic observables in…

High Energy Physics - Lattice · Physics 2023-07-10 Sabarnya Mitra

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 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

Using quenched lattice QCD simulations we investigate the continuum limit of baryon-strangeness correlation and other related conserved charge-flavour correlations for temperatures T_c<T\le2T_c. By working with lattices having large…

High Energy Physics - Lattice · Physics 2008-11-26 Swagato Mukherjee

Series expansions in the chemical potential mu are studied for an effective theory of QCD which has a flux representation where the complex action is overcome. In particular we consider fugacity series, Taylor expansion and a modified…

High Energy Physics - Lattice · Physics 2016-12-21 Eva Grünwald , Ydalia Delgado Mercado , Christof Gattringer

We employ the lattice QCD data on Taylor expansion coefficients up to sixth order to construct an equation of state at finite net-baryon density. When we take into account how hadron masses depend on lattice spacing and quark mass, the…

Nuclear Theory · Physics 2015-06-22 Pasi Huovinen , Peter Petreczky , Christian Schmidt

QCD at finite temperature and density is becoming increasingly important for various experimental programmes, ranging from heavy ion physics to astro-particle physics. The non-perturbative nature of non-abelian quantum field theories at…

High Energy Physics - Lattice · Physics 2009-11-02 Owe Philipsen

Using high statistics datasets generated in (2+1)-flavor QCD calculations at finite temperature we present results for low order cumulants of net baryon-number fluctuations at non-zero values of the baryon chemical potential. We calculate…

High Energy Physics - Lattice · Physics 2022-05-03 D. Bollweg , J. Goswami , O. Kaczmarek , F. Karsch , Swagato Mukherjee , P. Petreczky , C. Schmidt , P. Scior

We present recent results from lattice QCD relevant for the study of strongly interacting matter as it is produced in heavy ion collision experiments. The equation of state at non-vanishing density from a Taylor expansion up to $6^{th}$…

High Energy Physics - Lattice · Physics 2018-03-14 Olaf Kaczmarek

I extend to QCD an efficient method for lattice gauge theory with dynamical fermions. Once the eigenvalues of the Dirac operator and the density of states of pure gluonic configurations at a set of plaquette energies (proportional to the…

High Energy Physics - Lattice · Physics 2009-11-07 Xiang-Qian Luo