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We present here results on the determination of the critical temperature in the chiral limit for (2+1)-flavor QCD. We propose two novel estimators of the chiral critical temperature where quark mass dependence is strongly suppressed…

High Energy Physics - Lattice · Physics 2019-01-28 H. -T. Ding , P. Hegde , F. Karsch , A. Lahiri , S. -T. Li , S. Mukherjee , P. Petreczky

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

We investigate the chiral phase transition in 2+1 dimensional QED. Previous gap equation and lattice Monte-Carlo studies of symmetry breaking have found that symmetry breaking ceases to occur when the number of fermion flavors exceeds a…

High Energy Physics - Phenomenology · Physics 2009-10-28 Thomas Appelquist , John Terning , L. C. R. Wijewardhana

The chiral phase transition at a certain critical temperature is a restoration mechanism of the chiral symmetry, broken by the nonzero mass of quarks and mesons. The transition can be studied through several models, among which are the…

High Energy Physics - Phenomenology · Physics 2008-02-20 F. A. Correa , J. Morales

We use the two-flavor Linear Sigma Model with quarks as an effective description of QCD to investigate the nature of the chiral phase transition at finite baryon chemical potential and zero temperature. We work at one-loop order to set up…

High Energy Physics - Phenomenology · Physics 2026-04-23 Alejandro Ayala , Bruno El-Bennich , Ricardo L. S. Farias , Luis A. Hernández , Bruno S. Lopes , Luis C. Parra L. , Renato Zamora

We review applications of random matrix theory to QCD at nonzero temperature and chemical potential. The chiral phase transition of QCD and QCD-like theories is discussed in terms of eigenvalues of the Dirac operator. We show that for QCD…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. Splittorff , J. J. M. Verbaarschot

Chiral phase transition of two flavor QCD at finite quark masses is known to be crossover except near the chiral limit, but it can turn to a first order transition when adding many extra flavors. This property is used to explore the nature…

High Energy Physics - Lattice · Physics 2016-03-23 Shinji Ejiri , Ryo Iwami , Norikazu Yamada

We formulate a random matrix model which mimics the chiral phase transition in QCD with two light flavors. Two critical exponents are calculated. We obtain the mean field values $\beta = \frac 12 $ and $\delta = 3$. We also find that the…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. D. Jackson , J. J. M. Verbaarschot

We calculate the transition temperature in 2 and 3-flavor QCD using improved gauge and staggered fermion actions on lattices with temporal extent Nt=4. We find Tc=173(8)MeV and 154(8)MeV for nf=2 and 3, respectively. In the case of 3-flavor…

High Energy Physics - Lattice · Physics 2009-10-31 F. Karsch , E. Laermann , A. Peikert , Ch. Schmidt , S. Stickan

We study the finite temperature phase transition of lattice QCD with an irrelevant chiral 4-fermion interaction and two massless quark flavours, on $8^3 \times 4$ and $12^2 \times 24 \times 4$ lattices. The strength of the 4-fermion…

High Energy Physics - Lattice · Physics 2007-05-23 J. B. Kogut , D. K. Sinclair

We analyze the phase diagram of QCD with two massless quark flavors in the space of temperature, T, and chemical potential of the baryon charge, mu, using available experimental knowledge of QCD, insights gained from various models, as well…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. A. Halasz , A. D. Jackson , R. E. Shrock , M. A. Stephanov , J. J. M. Verbaarschot

The chiral phase transition at finite temperature T and/or chemical potential $\mu$ is studied using the QCD-like theory with a variational approach. The ``QCD-like theory'' means the improved ladder approximation with an infrared cutoff in…

High Energy Physics - Phenomenology · Physics 2009-10-31 O. Kiriyama , M. Maruyama , F. Takagi

We present Monte Carlo simulation results for the three dimensional Thirring model for numbers of fermion flavors N_f=4 and 6. For N_f=4 we find a second order chiral symmetry breaking transition at strong coupling, corresponding to an…

High Energy Physics - Lattice · Physics 2015-06-25 L. Del Debbio , S. J. Hands

The chiral phase transition at finite temperature is investigated in the linear sigma model, which is regarded as a low energy effective theory of QCD with three momentum cutoff, in the variational method with the Gaussian approximation in…

High Energy Physics - Phenomenology · Physics 2009-06-25 Y. Tsue , K. Matsuda

Phase diagram of QCD with Wilson fermions for various numbers of flavors $N_F$ is discussed. Our simulations mainly performed on a lattice with the temporal size $N_t =4$ indicate the following: The chiral phase transition is of first order…

High Energy Physics - Lattice · Physics 2009-10-28 Y. Iwasaki

We study $U_A(1)$ symmetry and its relation to chiral symmetry at finite temperature through the application of functional renormalization group to the $SU(3)$ quark meson model. Very different from the mass gap and mixing angel between…

High Energy Physics - Phenomenology · Physics 2016-04-13 Yin Jiang , Tao Xia , Pengfei Zhuang

We study the finite-temperature phase structure and the transition temperature of QCD with two flavors of dynamical quarks on a lattice with the temporal size $N_t=4$, using a renormalization group improved gauge action and the Wilson quark…

We find that the chiral phase transition (chiral crossover) in QCD at physical point is triggered by big imbalance among three fundamental quantities essential for the QCD vacuum structure: susceptibility functions for the chiral symmetry,…

High Energy Physics - Phenomenology · Physics 2022-06-22 Chuan-Xin Cui , Jin-Yang Li , Shinya Matsuzaki , Mamiya Kawaguchi , Akio Tomiya

The study of QCD with two light dynamical fermions is of fundamental importance to understand the mechanism of color confinement. We present results of a numerical investigation on the order of the chiral phase transition with $N_f = 2$ by…

High Energy Physics - Lattice · Physics 2008-11-26 M. D'Elia , A. Di Giacomo , C. Pica

We discuss the role of the axial $U(1)_A$ symmetry in the chiral phase transition using the $U(N_f)_R\times U(N_f)_L$ linear sigma model with two massless quark flavors. We expect that above a certain temperature the axial $U(1)_A$ symmetry…

High Energy Physics - Phenomenology · Physics 2011-07-19 Hong Mao , Yunde Li , Tao Huang