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Related papers: Finite Size Scaling for the O(N) universality clas…

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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

We study thermodynamics of strongly coupled lattice QCD with two colors of massless staggered fermions as a function of the baryon chemical potential $\mu$ in 3+1 dimensions using a new cluster algorithm. We find evidence that the model…

High Energy Physics - Lattice · Physics 2009-11-11 Shailesh Chandrasekharan , Fu-Jiun Jiang

We investigate the finite-temperature phase structure and the scaling of the chiral condensate in lattice QCD with two degenerate light quarks, using a renormalization group improved gauge action and the Wilson quark action. We obtain a…

High Energy Physics - Lattice · Physics 2009-10-30 S. Aoki , Y. Iwasaki , K. Kanaya , S. Kaya , A. Ukawa , T. Yoshié

The chiral transition for two-flavor QCD is predicted to be in the same universality class as the 3d O(4) model. This prediction is verified in the Wilson case, but not for the staggered-fermion case. The comparison is usually done assuming…

High Energy Physics - Lattice · Physics 2007-05-23 Tereza Mendes

We investigate the chiral phase transition at finite temperature (T) in colour SU(Nc=3) Quantum Chromodynamics (QCD) with six species of fermions (Nf=6) in the fundamental representation by using lattice QCD with improved staggered…

High Energy Physics - Lattice · Physics 2012-03-30 Kohtaroh Miura , Maria Paola Lombardo , Elisabetta Pallante

Three-flavor QCD simulation with the $O(a)$-improved Wilson fermion action is made employing an exact fermion algorithm developed for odd number of quark flavors. For the plaquette gauge action, an unexpected first-order phase transition is…

Quantum chromodynamics has a rather complicated phase structure. The finite temperature, chiral phase structure depends on the number of flavours and to a large extent on the particular values of the fermion masses. For two massless…

High Energy Physics - Lattice · Physics 2009-10-30 T. Reisz

We present the status of our analysis on the order of the finite temperature transition in QCD with two flavors of degenerate fermions. Our new simulations on large lattices support the hypothesis of the first order nature of the…

High Energy Physics - Lattice · Physics 2009-04-14 C. Bonati , G. Cossu , M. D'Elia , A. Di Giacomo , C. Pica

Logarithmic finite-size scaling of the O($n$) universality class at the upper critical dimensionality ($d_c=4$) has a fundamental role in statistical and condensed-matter physics and important applications in various experimental systems.…

Statistical Mechanics · Physics 2021-04-13 Jian-Ping Lv , Wanwan Xu , Yanan Sun , Kun Chen , Youjin Deng

Quantum chromodynamics with two zero-mass flavors is expected to exhibit a phase transition with O(4) critical behavior. Fixing the universality class is important for phenomenology and for facilitating the extrapolation of simulation data…

High Energy Physics - Lattice · Physics 2008-11-26 C. Bernard , C. DeTar , S. Gottlieb , U. M. Heller , J. Hetrick , K. Rummukainen , R. L. Sugar , D. Toussaint

The nature of the QCD chiral phase transition in the limit of vanishing quark masses has remained elusive for a long time, since it cannot be simulated directly on the lattice and is strongly cutoff-dependent. We report on a comprehensive…

High Energy Physics - Lattice · Physics 2021-12-08 Francesca Cuteri , Owe Philipsen , Alessandro Sciarra

We report on new data from additional zero temperature simulations of QCD with 12 flavors. This is a continuation of previous studies using the DBW2 gauge action and naive staggered fermions. With the use of the force gradient integrator…

High Energy Physics - Lattice · Physics 2012-03-28 Xiao-Yong Jin , Robert D. Mawhinney

We study the nature of the finite-temperature chiral transition in QCD with N_f light quarks in the adjoint representation (aQCD). Renormalization-group arguments show that the transition can be continuous if a stable fixed point exists in…

High Energy Physics - Theory · Physics 2009-11-10 Francesco Basile , Andrea Pelissetto , Ettore Vicari

We report on a study of two-flavor finite-temperature chiral phase transition employing the Kogut-Susskind quark action and the plaquette gluon action in lattice QCD for a lattice with $N_t=4$ temporal size. Hybrid R simulations of $10^4$…

High Energy Physics - Lattice · Physics 2016-08-25 JLQCD Collaboration , S. Aoki , M. Fukugita , S. Hashimoto , N. Ishizuka , Y. Iwasaki , K. Kanaya , Y. Kuramashi , H. Mino , M. Okawa , A. Ukawa , T. Yoshié

We present a new unified theory of critical finite-size scaling for lattice statistical mechanical models with periodic boundary conditions above the upper critical dimension. Our theory is based on recent mathematically rigorous results…

Statistical Mechanics · Physics 2026-03-02 Yucheng Liu , Jiwoon Park , Gordon Slade

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

The nature of finite temperature transition in QCD is studied on a lattice with Wilson fermion. For massless quarks, the transition is smooth for two flavors, while it is of first order for three and six flavors. Form the study of…

High Energy Physics - Theory · Physics 2009-10-28 Sunao. Sakai

In QCD with two flavors of massless quarks, the chiral phase transition is plausibly in the same universality class as the classical four component Heisenberg antiferromagnet. Therefore, renormalization group techniques developed in the…

High Energy Physics - Phenomenology · Physics 2009-10-22 K. Rajagopal , F. Wilczek

We study the scaling behaviour of the pseudo-critical couplings for the chiral phase transition in two-flavour QCD. We show that all existing results from lattice simulations on lattices with temporal extent $N_\tau = 4$, 6 and 8 can be…

High Energy Physics - Lattice · Physics 2009-10-22 Frithjof Karsch

We have simulated lattice QCD with 2 flavours of massless staggered quarks. An irrelevant chiral 4-fermion interaction was added to the standard quark action to allow us to simulate at zero quark mass. Thermodynamics was studied on lattices…

High Energy Physics - Lattice · Physics 2009-11-07 J. B. Kogut , D. K. Sinclair