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Recent lattice QCD calculations show strong indications that the crossover of QCD at zero baryon chemical potential ($\mu_B$) is a remnant of the second order chiral phase transition. The non-universal parameters needed to map temperature…

High Energy Physics - Phenomenology · Physics 2021-02-03 Andrew Connelly , Gregory Johnson , Swagato Mukherjee , Vladimir Skokov

We report on a new method to extract thermodynamic properties from the density of partition function zeroes on finite lattices. This allows direct determination of the order and strength of phase transitions numerically. Furthermore, it…

High Energy Physics - Lattice · Physics 2015-06-25 Wolfhard Janke , Ralph Kenna

A finite size scaling is applied to the Yang-Lee zeros of the grand canonical partition function for the 2-D Hubbard model in the complex chemical potential plane. The logarithmic scaling of the imaginary part of the zeros with the system…

Condensed Matter · Physics 2009-10-28 E. Abraham , I. M. Barbour , P. H. Cullen , E. G. Klepfish , E. R. Pike , Sarben Sarkar

Lee-Yang zeros are points on the complex plane of magnetic field where the partition function of a spin system is zero and therefore the free energy diverges. Lee-Yang zeros and their generalizations are ubiquitous in many-body systems and…

Quantum Physics · Physics 2015-01-08 Xinhua Peng , Hui Zhou , Bo-Bo Wei , Jiangyu Cui , Jiangfeng Du , Ren-Bao Liu

The Yang-Lee edge singularity is investigated by the determinant method of the conformal field theory. The critical dimension Dc, for which the scale dimension of scalar Delta_phi is vanishing, is discussed by this determinant method. The…

High Energy Physics - Theory · Physics 2019-12-06 S. Hikami

I review a selection of recent finite temperature lattice results of the past years. First I discuss the extension of the equation of state towards high temperatures and fi- nite densities, then I show recent results on the QCD topological…

High Energy Physics - Lattice · Physics 2017-04-05 Szabolcs Borsanyi

We study the Lee-Yang zeros in the canonical approach to search phase transition points at finite temperature and density in the Nambu-Jona-Lasinio (NJL) model as an effective model of QCD. The canonical approach is a promising method to…

High Energy Physics - Lattice · Physics 2019-07-10 Masayuki Wakayama , Atsushi Hosaka

Convergence of three different expansion schemes at finite baryon chemical potentials, including the conventional Taylor expansion, the Pad\'e approximants, and the $T'$ expansion proposed recently in lattice QCD simulations, have been…

High Energy Physics - Phenomenology · Physics 2024-03-20 Rui Wen , Shi Yin , Wei-jie Fu

We propose a method to study lattice QCD at finite temperature (T) and chemical potential (\mu). We compare the method with direct results and with the Glasgow method by using n_f=4 QCD at Im(\mu)\neq0. We locate the critical endpoint (E)…

Nuclear Theory · Physics 2007-05-23 Z. Fodor , S. D. Katz

We study the Quantum Chromodynamics (QCD) phase transitions in the complex chemical potential plane in the framework of Dyson-Schwinger equation approach, in the presence of a constant gluonic background field that represents confining…

High Energy Physics - Phenomenology · Physics 2025-04-18 Zi-yan Wan , Yi Lu , Fei Gao , Yu-xin Liu

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 utilize lattice simulations of the dimensionally reduced effective field theory (EQCD) to determine the quark number susceptibility of QCD at high temperature ($T>2T_c$). We also use analytic continuation to obtain results at finite…

High Energy Physics - Lattice · Physics 2008-11-26 Ari Hietanen , Kari Rummukainen

The fluctuations of proton multiplicity in heavy-ion collisions are the key observables in the search for the QCD critical point. In this work we present an approach to constraining the cumulants of proton number based on the analytical…

Nuclear Theory · Physics 2026-03-26 Gokce Basar , Maneesha Pradeep , Mikhail Stephanov

I will review the finite density algorithm for lattice QCD based on finite chemical potential and summarize the associated difficulties. I will propose a canonical ensemble approach which projects out the finite baryon number sector from…

High Energy Physics - Lattice · Physics 2009-11-07 Keh-Fei Liu

Without invoking any cumulant determination at the input level, we present here the first calculations of direct estimates of the Lee-Yang zeros of QCD partition function in (2+1)-flavor QCD. These zeros are obtained in complex isospin…

High Energy Physics - Lattice · Physics 2025-07-21 Sabarnya Mitra

Despite intense experimental and theoretical research, the QCD phase diagram at finite baryon density remains to a large extent unexplored. From the theoretical side, the obvious non-perturbative approach is lattice QCD simulations, which…

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

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 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

It is shown that a cluster expansion technique, which is usually applied in the high-temperature regime to calcutate virial coefficients, can be applied to evaluate the superfluid transition temperature of the BCS-BEC crossover \`a la Lee…

Quantum Gases · Physics 2014-03-19 Naoyuki Sakumichi , Yusuke Nishida , Masahito Ueda
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