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We show that for small values of the chemical potential the curvature of the phase transition line can be deduced from an analysis of scaling properties of the chiral condensate and its susceptibilities. We make use of a recent analysis of…

High Energy Physics - Lattice · Physics 2010-12-13 Christian Schmidt , Swagato Mukherjee

We determine the chiral phase transition line in (2+1)-flavor QCD for small values of the light quark chemical potential. We show that for small values of the chemical potential the curvature of the phase transition line can be deduced from…

High Energy Physics - Lattice · Physics 2011-02-01 O. Kaczmarek , F. Karsch , E. Laermann , C. Miao , S. Mukherjee , P. Petreczky , C. Schmidt , W. Soeldner , W. Unger

We study the curvature of the chiral transition/crossover line between the low-temperature hadronic phase and the high-temperature quark-gluon-plasma phase at low densities, performing simulations of two-flavor QCD with improved Wilson…

High Energy Physics - Lattice · Physics 2017-01-10 T. Umeda , S. Ejiri , R. Iwami , K. Kanaya , H. Ohno , A. Uji , N. Wakabayashi , S. Yoshida

To quantify the universal properties of chiral phase transition in (2+1)-flavor QCD, we use an improved, renormalized order parameter for the chiral symmetry breaking. We construct ratios of this divergence-free order parameter from its…

High Energy Physics - Lattice · Physics 2026-02-09 Sabarnya Mitra , Frithjof Karsch

We study scaling behavior of a chiral order parameter performing a simulation of two-flavor QCD with improved Wilson quarks. It has been shown that the scaling behavior of the chiral order parameter defined by a Ward-Takahashi identity…

High Energy Physics - Lattice · Physics 2015-03-18 S. Ejiri , Y. Nakagawa , S. Aoki , K. Kanaya , H. Ohno , H. Saito , T. Hatsuda , Y. Maezawa , T. Umeda

We study the scaling behavior of the (2+1)-flavor QCD crossover region towards the chiral limit with smaller-than-physical light quark mass gauge ensembles, generated using the HISQ fermion discretization. At zero chemical potential, we…

High Energy Physics - Lattice · Physics 2022-07-14 Olaf Kaczmarek , Frithjof Karsch , Anirban Lahiri , Sheng-Tai Li , Mugdha Sarkar , Christian Schmidt , Philipp Scior

For quantifying the universal properties of the chiral phase transition in QCD through numerical calculations on a discrete space-time lattice, one needs to perform controlled extrapolations to the continuum and infinite-volume limits…

High Energy Physics - Lattice · Physics 2025-08-28 Sabarnya Mitra , Frithjof Karsch

We study scaling behavior of a chiral order parameter in the low density region, performing a simulation of two-flavor QCD with improved Wilson quarks. The scaling behavior of the chiral order parameter defined by a Ward-Takahashi identity…

High Energy Physics - Lattice · Physics 2013-12-20 T. Umeda , S. Ejiri , K. Kanaya , Y. Maezawa , Y. Nakagawa , H. Ohno , H. Saito , S. Yoshida

We reveal that the universal scaling properties of the chiral phase transition in quantum chromodynamics (QCD) at the macroscale are, in fact, encoded within the microscopic energy levels of its fundamental constituents, the quarks. We…

High Energy Physics - Lattice · Physics 2024-01-22 Heng-Tong Ding , Wei-Ping Huang , Swagato Mukherjee , Peter Petreczky

We will report recent progress on the QCD phase diagram at finite temperature and density. In particular, we discuss the universal scaling of the chiral transition in the limit of two massless quarks and one strange quark. We also discuss…

High Energy Physics - Lattice · Physics 2025-04-02 Christian Schmidt

Macroscopic properties of the strong interaction near its chiral phase transition exhibit scaling behaviors, which are the same as those observed close to the magnetic transition in a 3-dimensional classical spin system with $O(4)$…

High Energy Physics - Lattice · Physics 2023-10-23 Heng-Tong Ding , Wei-Ping Huang , Swagato Mukherjee , Peter Petreczky

We determine the critical equation of state of the three-dimensional O(N) universality class, for N=4, 5, 6, 32, 64. The N=4 is relevant for the chiral phase transition in QCD with two flavors, the N=5 model is relevant for the SO(5) theory…

High Energy Physics - Lattice · Physics 2007-05-23 Agostino Butti , Francesco Parisen Toldin , Andrea Pelissetto , Ettore Vicari

In this proceeding, we discuss the finite-size scaling analysis of the order parameter related to the chiral phase transition in QCD with two massless quarks. We use data obtained in lattice QCD calculations performed with highly improved…

High Energy Physics - Lattice · Physics 2026-04-01 Sabarnya Mitra , Jishnu Goswami , Frithjof Karsch

In these lectures I review some basic examples of how the concepts of universality and scaling can be used to study aspects of the chiral and the deconfinement transition, if not in QCD directly but in QCD-like theories. As an example for…

High Energy Physics - Phenomenology · Physics 2012-08-02 Lorenz von Smekal

We present studies of universal properties of the chiral phase transition in $N_f$=2+1 QCD based on the simulations using Highly Improved Staggered fermions on lattices with temporal extent $N_\tau$=6. We analyze the quark mass and volume…

High Energy Physics - Lattice · Physics 2013-12-03 H. -T. Ding , A. Bazavov , F. Karsch , Y. Maezawa , Swagato Mukherjee , P. Petreczky

We discuss the universal critical behavior in (2+1)-flavor QCD by analyzing lattice data from improved staggered fermions generated by the HotQCD Collaboration. We present recent results from two different lattice discretizations and…

High Energy Physics - Lattice · Physics 2015-05-20 Christian Schmidt

Report is made of a systematic scaling study of the finite-temperature chiral phase transition of two-flavor QCD with the Kogut-Susskind quark action based on simulations on $L^3\times4$ ($L$=8, 12 and 16) lattices at the quark mass of…

High Energy Physics - Lattice · Physics 2009-10-30 JLQCD Collaboration , S. Aoki , M. Fukugita , S. Hashimoto , N. Ishizuka , Y. Iwasaki , K. Kanaya , Y. Kuramashi , H. Mino , M. Okawa , A. Ukawa , T. Yoshié

In order to quantify the universal properties of the chiral phase transition in (2+1)-flavor QCD, we make use of an improved, renormalized order parameter for chiral symmetry breaking which is obtained as a suitable difference of the…

High Energy Physics - Lattice · Physics 2024-11-28 Sabarnya Mitra , Frithjof Karsch , Sipaz Sharma

The finite temperature transition of QCD with two degenerate light quarks is studied on the lattice with a renormalization group improved gauge action and the Wilson quark action. We have made simulations on an $8^3\times 4$ lattice near…

High Energy Physics - Lattice · Physics 2009-10-28 Y. Iwasaki , K. Kanaya , S. Kaya , T. Yoshie

QCD with N_f=2 is a specially interesting system to investigate the chiral transition. The order of the transition has still not been established. We report the results of an in-depth numerical investigation performed with staggered…

High Energy Physics - Lattice · Physics 2007-05-23 M. D'Elia , A. Di Giacomo , C. Pica
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