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Assuming the equilibrium of the QCD system, we have investigated the critical behavior of sixth-, eighth- and tenth-order susceptibilities of net-baryon number, through mapping the results in the three-dimensional Ising model to that of…

Nuclear Theory · Physics 2025-01-07 Xue Pan

We investigate the topological properties of $N_f = 2+1$ QCD with physical quark masses, at temperatures around 500 MeV. With the aim of obtaining a reliable sampling of topological modes in a regime where the fluctuations of the…

High Energy Physics - Lattice · Physics 2018-12-12 Claudio Bonati , Massimo D'Elia , Guido Martinelli , Francesco Negro , Francesco Sanfilippo , Antonino Todaro

Within the framework of SU(2) chiral perturbation theory, we derive the general solution of the QCD $\theta$-vacuum for an arbitrary vacuum phase, explicitly incorporating isospin-breaking effects from the light quark mass difference, and…

High Energy Physics - Phenomenology · Physics 2026-03-05 Zhen-Yan Lu , Quan Tang , Shu-Peng Wang , Yang Huang , Zhen Zhang , Bonan Zhang

We perform hybrid Monte-Carlo (HMC) simulation of lattice QCD with $N_f=2+1+1$ domain-wall quarks at the physical point, on the $64^3 \times (64,20,16,12,10,8,6)$ lattices, each with three lattice spacings. The lattice spacings and the bare…

High Energy Physics - Lattice · Physics 2022-10-13 Yu-Chih Chen , Ting-Wai Chiu , Tung-Han Hsieh

The first two non-trivial moments of the distribution of the topological charge (or gluonic winding number), i.e., the topological susceptibility and the fourth cumulant, can be computed in lattice QCD simulations and exploited to constrain…

High Energy Physics - Lattice · Physics 2015-06-11 V. Bernard , S. Descotes-Genon , G. Toucas

Deviations from Fermi liquid behavior are well documented in the normal state of the cuprate superconductors, and some of these differences are possibly related to pre-formed pairs appearing at temperatures above T_c. In order to test these…

Strongly Correlated Electrons · Physics 2009-10-31 M. Letz , R. J. Gooding

Reasonably good agreement with the superconducting transition temperatures of the cuprate high-Tc superconductors can be obtained on the basis of an approximate phenomenological theory. In this theory, two criteria are used to calculate the…

Superconductivity · Physics 2007-05-23 Mario Rabinowitz , T. McMullenb

Recent efforts in lattice evaluation of the topological susceptibility had shown that at high temperatures it is given by well-separated instantons (even in QCD with light fermions, where those are highly suppressed). Recent development of…

High Energy Physics - Lattice · Physics 2017-01-30 Edward Shuryak

Topological excitations are prominent candidates for explaining nonperturbative effects in QCD like confinement. In these lectures, I cover both formal treatments and applications of topological objects. The typical phenomena like BPS…

High Energy Physics - Theory · Physics 2009-11-18 Falk Bruckmann

In the recent years we have learned that light quarks play a crucial role in QCD-like theories, transforming it to many different phases. We review what is known about them, both from lattice and non-lattice approaches. A particularly…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Shuryak

Thermodynamics of two-flavor QCD at finite temperature and density is studied on a $16^3 \times 4$ lattice, using a renormalization group improved gauge action and the clover improved Wilson quark action. In the simulations along lines of…

High Energy Physics - Lattice · Physics 2008-11-26 Y. Maezawa , S. Aoki , S. Ejiri , T. Hatsuda , N. Ishii , K. Kanaya , N. Ukita , T. Umeda

We present preliminary lattice results for the topological susceptibility in high-$T$ $N_f=2+1$ QCD obtained discretizing this observable via spectral projectors on eigenmodes of the staggered operator, and we compare them with those…

We present recent lattice results on QCD thermodynamics at non-vanishing baryon number density obtained from a 6th order Taylor expansion in the chemical potential. Results for bulk thermodynamic observables, in particular for fluctuations…

High Energy Physics - Lattice · Physics 2009-11-10 Frithjof Karsch

We investigate the topological properties of the QCD vacuum with 4 flavours of dynamical staggered fermions at finite temperature. To calculate the topological susceptibility we use the field-theoretical method. As in the quenched case, a…

High Energy Physics - Lattice · Physics 2008-11-26 B. Alles , M. D'Elia , A. Di Giacomo , P. W. Stephenson

We determine the phase diagram of QCD on the \mu-T plane for small to moderate chemical potentials. Two transition lines are defined with two quantities, the chiral condensate and the strange quark number susceptibility. The calculations…

High Energy Physics - Lattice · Physics 2011-04-05 G. Endrodi , Z. Fodor , S. D. Katz , K. K. Szabo

We consider the topological susceptibility for an SU(N) gauge theory in the limit of a large number of colors, $N \to \infty$. At nonzero temperature, the behavior of the topological susceptibility depends upon the order of the deconfining…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Kharzeev , R. D. Pisarski , M. H. G. Tytgat

We update our numerical investigation of topological structures around static quarks in pure gauge QCD by results of the first runs including dynamical quarks. Simulations were performed on an $8^3\times4$ lattice, with $SU(3)$ Wilson…

High Energy Physics - Lattice · Physics 2008-11-26 M. Faber , H. Markum , S. Olejnik , W. Sakuler

We study the quark number susceptibility in SU(2) lattice gauge theory with two Wilson quark flavours at non-zero chemical potential and low temperature. We present some technical aspects of the issue and numerical results obtained at…

High Energy Physics - Lattice · Physics 2011-10-28 Pietro Giudice , Simon Hands , Jon-Ivar Skullerud

We compute the topological susceptibility of $N_f=2+1$ QCD with physical quark masses in the high-temperature phase, using numerical simulations of the theory discretized on a space-time lattice. More precisely we estimate the topological…

It was previously found that at high temperature the lowest part of the QCD Dirac spectrum consists of localized modes obeying Poisson statistics. Higher up in the spectrum, modes become delocalized and their statistics can be described by…

High Energy Physics - Lattice · Physics 2013-11-08 Matteo Giordano , Tamás G. Kovács , Ferenc Pittler