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Related papers: Canonical approach to finite density QCD with mult…

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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

While the grand canonical partition function Z_{GC}(mu) with chemical potential mu explicitly breaks the Z_3 symmetry with the Dirac determinant, the canonical partition function at fixed baryon number Z_C(B) is manifestly Z_3-symmetric. We…

High Energy Physics - Lattice · Physics 2009-11-10 Slavo Kratochvila , Philippe de Forcrand

In this review, I recall the nature and the inevitability of the "sign problem" which plagues attempts to simulate lattice QCD at finite baryon density. I present the main approaches used to circumvent the sign problem at small chemical…

High Energy Physics - Lattice · Physics 2014-11-20 Philippe de Forcrand

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

Imaginary baryon number chemical potential simulations are a popular workaround for the (in)famous sign problem plaguing finite density QCD studies on the lattice. One is necessarily left with the problem of analytically continuing results…

High Energy Physics - Lattice · Physics 2025-02-06 Francesco Di Renzo , Marco Aliberti , Petros Dimopoulos

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 review recent results on QCD at finite temperature and non-vanishing baryon number density. We focus on observables which are of immediate interest to experimental searches for the Quark Gluon Plasma, i.e. the phase transition…

High Energy Physics - Lattice · Physics 2015-06-25 Frithjof Karsch

Particle production in high-energy collisions is often addressed within the framework of the thermal (statistical) model. We present a method to calculate the canonical partition function for the hadron resonance gas with exact conservation…

High Energy Physics - Phenomenology · Physics 2014-11-20 F. Beutler , A. Andronic , P. Braun-Munzinger , K. Redlich , J. Stachel

The statistical model with exact conservation of baryon number, electric charge, and strangeness - the Canonical Statistical Model (CSM) - is used to analyze the dependence of yields of light nuclei at midrapidity on charged pion…

High Energy Physics - Phenomenology · Physics 2019-09-10 Volodymyr Vovchenko , Benjamin Donigus , Horst Stoecker

We describe an efficient algorithm to compute a large number of baryon-baryon interactions from $NN$ to $\Xi\Xi$ by means of HAL QCD method, which lays the groundwork for the nearly physical point lattice QCD calculation with volume…

In this work, we revisit the thermodynamical self-consistency of the quasiparticle model with the finite baryon chemical potential adjusted to lattice QCD calculations. Here, we investigate the possibility that the effective quasiparticle…

High Energy Physics - Phenomenology · Physics 2019-07-31 Hong-Hao Ma , Kai Lin , Wei-Liang Qian , Yogiro Hama , Takeshi Kodama

Highlights from recent computations in lattice QCD involving baryons are presented. Calculations of the proton mass and spin decompositions are discussed, a percent level determination of the nucleon axial coupling is described, and…

Nuclear Theory · Physics 2019-09-19 Colin Morningstar

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

The first principle lattice QCD methods allow to calculate the thermodynamic observables at finite temperature and imaginary chemical potential. These can be compared to the predictions of various phenomenological models. We argue that…

High Energy Physics - Phenomenology · Physics 2017-11-01 Volodymyr Vovchenko , Attila Pasztor , Zoltan Fodor , Sandor D. Katz , Horst Stoecker

The entropy per baryon is studied in the strong coupling large dimension $d$ limit of lattice QCD with staggered fermions. The partition function is calculated for non-zero chemical potential and temperature using the $1/d$ expansion. It is…

High Energy Physics - Lattice · Physics 2016-08-31 Neven Bilic , Jean Cleymans

Using the multi-point Pad\'e approach, we locate Lee-Yang edge singularities of the QCD pressure in the complex baryon chemical potential plane. These singularities are extracted from singularities in the net baryon-number density…

High Energy Physics - Lattice · Physics 2024-05-17 David A. Clarke , Petros Dimopoulos , Francesco Di Renzo , Jishnu Goswami , Christian Schmidt , Simran Singh , Kevin Zambello

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 existence of the QCD critical point at non-zero baryon density is not only of great interest for experimental physics but also a challenge for the theory. Any hint of the existence of the first order phase transition and, particularly,…

High Energy Physics - Lattice · Physics 2010-09-07 Anyi Li

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

We provide a formulation of potential non-relativistic quantum chromodynamics (pNRQCD) suitable for calculating binding energies and matrix elements of generic hadron and multi-hadron states made of heavy quarks in $SU(N_c)$ gauge theory…

High Energy Physics - Phenomenology · Physics 2023-11-06 Benoît Assi , Michael L. Wagman