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We demonstrate how to locate the critical endpoint of the QCD phase transition by means of simulations at imaginary \mu. For the three flavor theory, we present numerical results for the pseudo-critical line as a function of chemical…

High Energy Physics - Lattice · Physics 2009-11-10 Ph. de Forcrand , O. Philipsen

We present unambiguous evidence from lattice simulations of QCD with three degenerate quark species for two tricritical points in the (T,m) phase diagram at fixed imaginary \mu/T=i\pi/3 mod 2\pi/3, one in the light and one in the heavy mass…

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

A careful study is made on the lattice of the phase diagram of QCD with two staggered flavors, to investigate the order of the chiral transition of N_f=2 QCD. The specific heat and the susceptibility of the chiral condensate are determined…

High Energy Physics - Lattice · Physics 2009-11-10 M. D'Elia , A. Di Giacomo , C. Pica

We investigate to which extent we can exploit the dependence of the order of the chiral transition on the number of light degenerate flavors $N_\text{f}$, re-interpreted as continuous parameter in the path integral formulation, as a means…

High Energy Physics - Lattice · Physics 2018-11-12 Francesca Cuteri , Owe Philipsen , Alessandro Sciarra

For a QCD chiral critical point to exist, the parameter region of small quark masses for which the finite temperature transition is first-order must expand when the chemical potential is turned on. This can be tested by a Taylor expansion…

High Energy Physics - Lattice · Physics 2008-11-26 Philippe de Forcrand , Seyong Kim , Owe Philipsen

Non-compact three-dimensional QED is studied by computer simulations to understand its chiral symmetry breaking features for different values of the number of fermion flavors N_f. We consider the four-component formulation for the fermion…

High Energy Physics - Lattice · Physics 2008-11-26 Costas Strouthos , John B. Kogut

It is investigated how quark confinement depends on the number of flavors, $N_f$, in QCD on the lattice with Wilson quarks. We strengthen and extend the conclusion reported at {\it Lattice 91}: (1) For $N_f \le 6$ the finite temperature…

High Energy Physics - Lattice · Physics 2009-10-22 Y. Iwasaki , K. Kanaya , S. Sakai , T. Yoshie

With a modified chemical potential dependent effective model for the gluon propagator, we try to locate the critical end point (CEP) of strongly interacting matter in the framework of Dyson-Schwinger equations (DSE). Beyond the chiral…

High Energy Physics - Phenomenology · Physics 2014-07-04 Chao Shi , Yong-Long Wang , Yu Jiang , Zhu-Fang Cui , Hong-Shi Zong

Using a gap equation for the pion mass a nonperturbative method is given for solving the chiral quark-meson model in the chiral limit at the lowest order in the fermion contributions encountered in a large N_f approximation. The location of…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Jakovac , A. Patkos , Zs. Szep , P. Szepfalusy

We review our results for the QCD phase diagram at baryonic chemical potential mu_B \leq pi T. Our simulations are performed with an imaginary chemical potential mu_I for which the fermion determinant is positive. For 2 flavors of staggered…

High Energy Physics - Phenomenology · Physics 2017-08-23 Ph. de Forcrand , O. Philipsen

A complete thermodynamical analysis of the 2+1 dimensional massless Gross-Neveu model is performed using the optimized perturbation theory. This is a non-perturbative method that allows us to go beyond the known large-N results already at…

High Energy Physics - Theory · Physics 2008-11-26 Jean-Loic Kneur , Marcus Benghi Pinto , Rudnei O. Ramos , Ederson Staudt

Certain approximate solutions of the continuum Schwinger-Dyson Equations (SDEs) predict chiral symmetry breaking in the 3d Thirring model when the number of fermion flavors N_f<4.32 whereas others predict symmetry breaking for all N_f. Our…

High Energy Physics - Lattice · Physics 2008-11-26 Stavros Christofi , Simon Hands , Costas Strouthos

We discuss the QCD critical point at finite density through the study of many flavor QCD, in which two light flavors and Nf massive flavors exist. Performing simulations of QCD with two flavors of improved Wilson fermions, we calculate…

High Energy Physics - Lattice · Physics 2015-12-29 Ryo Iwami , Shinji Ejiri , Norikazu Yamada

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 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

QCD with three degenerate quark flavours at zero baryon density exhibits a first order thermal phase transition for small quark masses, which changes to a smooth crossover for some critical quark mass m^c_0, i.e. the chiral critical point.…

High Energy Physics - Lattice · Physics 2008-11-26 Philippe de Forcrand , Owe Philipsen

QCD with heavy dynamical quarks exhibits a first order thermal transition which is driven by the spontaneous breaking of the global $\mathcal{Z}_3$ center symmetry. Decreasing the quark masses weakens the transition until the corresponding…

High Energy Physics - Lattice · Physics 2021-12-09 Ruben Kara , Szabolcs Borsanyi , Zoltan Fodor , Jana N. Guenther , Paolo Parotto , Attila Pasztor , Denes Sexty

We argue that the order of the chiral transition for N_f=2 is a sensitive probe of the QCD vacuum, in particular of the mechanism of color confinement. A strategy is developed to investigate the order of the transition by use of finite size…

High Energy Physics - Lattice · Physics 2009-11-11 M. D'Elia , A. Di Giacomo , C. Pica

We investigate the phase structure of three-flavor QCD in the presence of finite quark chemical potential $\mu/T\lesssim1.2$ by using the non-perturbatively $O(a)$ improved Wilson fermion action on lattices with a fixed temporal extent…

High Energy Physics - Lattice · Physics 2015-12-30 Xiao-Yong Jin , Yoshinobu Kuramashi , Yoshifumi Nakamura , Shinji Takeda , Akira Ukawa

Algorithmic progress in recent years made it possible to simulate QCD with Nf=2 flavours of O(a)-improved Wilson fermions at very light quark masses. We present the current results for baryon spectrum states, the nucleon axial coupling and…