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The existence of the QCD critical point at non-zero baryon density is not only of great interest for experimental physics but also a challenge for the theory. Any hint of the existence of the first order phase transition and, particularly,…

High Energy Physics - Lattice · Physics 2010-09-07 Anyi Li

We investigate the properties of the half-filling point in lattice QCD (LQCD), in particular the disappearance of the sign problem and the emergence of an apparent particle-hole symmetry, and try to understand where these properties come…

High Energy Physics - Lattice · Physics 2016-02-22 Tobias Rindlisbacher , Philippe de Forcrand

We analyze the spectrum of the massive states for the color flavor locked phase (CFL) of QCD. We show that the vector mesons have a mass of the order of the color superconductive gap $\Delta$. We also see that the excitations associated…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. D. Jackson , F. Sannino

We construct the effective Lagrangian describing the low energy excitations for Quantum Chromodynamics with two flavors at high density. The non-linear realization framework is employed to properly construct the low energy effective theory.…

High Energy Physics - Phenomenology · Physics 2009-10-31 R. Casalbuoni , Z. Duan , F. Sannino

We study two aspects of the CFL phase of QCD in the NJL approximation. The first one is the issue of the dependence on \mu of the ultraviolet cutoff in the gap equation, which is solved allowing a running coupling constant. The second one…

High Energy Physics - Phenomenology · Physics 2009-11-10 R. Casalbuoni , R. Gatto , G. Nardulli , M. Ruggieri

A brief overview of the QCD phase diagram at nonzero temperature and density is provided. It is explained why standard lattice QCD techniques are not immediately applicable for its determination, due to the sign problem. We then discuss a…

High Energy Physics - Lattice · Physics 2014-02-06 Gert Aarts

One of the major frontiers of lattice field theory is the inclusion of light fermions in simulations, particularly in pursuit of accurate, first principles predictions from lattice QCD. With dedicated Teraflops-scale computers currently…

High Energy Physics - Lattice · Physics 2008-12-18 Robert D. Mawhinney

Quantum field theories at finite matter densities generically possess a partition function that is exponentially suppressed with the volume compared to that of the phase quenched analogue. The smallness arises from an almost uniform…

High Energy Physics - Lattice · Physics 2017-08-02 Nicolas Garron , Kurt Langfeld

The interplay between lattice gauge theories and fermionic matter accounts for fundamental physical phenomena ranging from the deconfinement of quarks in particle physics to quantum spin liquid with fractionalized anyons and emergent gauge…

Strongly Correlated Electrons · Physics 2019-05-06 Xiao Yan Xu , Yang Qi , Long Zhang , Fakher F. Assaad , Cenke Xu , Zi Yang Meng

Simulations of full QCD at nonzero baryon density using light quark masses are presented. The sign problem is evaded by the usage of the complex Langevin equation. The simulations are stabilized by the gauge cooling procedure for small…

High Energy Physics - Lattice · Physics 2013-10-24 Denes Sexty

QCD at a finite quark-number chemical potential $\mu$ has a complex fermion determinant, which precludes its study by standard lattice QCD simulations. We therefore simulate lattice QCD at finite $\mu$ in the phase-quenched approximation,…

High Energy Physics - Lattice · Physics 2008-11-26 J. B. Kogut , D. K. Sinclair

The recent development of the Field Correlator Method (FCM) is discussed, with applications to the most interesting areas of QCD physics obtained in the lattice data and experiment. These areas include: a) the connection of colorelectric…

High Energy Physics - Phenomenology · Physics 2024-07-16 M. S. Lukashov , Yu. A. Simonov

We present results for the static inter-quark potential, lightest glueballs, light hadron spectrum and topological susceptibility using a non-perturbatively improved action on a $16^3\times 32$ lattice at a set of values of the bare gauge…

The first-principle approach to the dense state of QCD matter, i.e. the lattice-QCD simulation at finite baryon density, is not under theoretical control for the moment. The effective model study based on QCD symmetries is a practical…

High Energy Physics - Phenomenology · Physics 2015-05-19 Kenji Fukushima

In this paper we carry out a low-temperature scan of the phase diagram of dense two-color QCD with $N_f=2$ quarks. The study is conducted using lattice simulation with rooted staggered quarks. At small chemical potential we observe the…

High Energy Physics - Lattice · Physics 2016-12-19 V. V. Braguta , E. -M. Ilgenfritz , A. Yu. Kotov , A. V. Molochkov , A. A. Nikolaev

We derive the primitive quantum gate sets to simulate lattice quantum chromodynamics (LQCD) in the strong-coupling limit with one flavor of massless staggered quarks. This theory is of interest for studies at non-zero density as the sign…

High Energy Physics - Lattice · Physics 2025-08-20 Michael Fromm , Owe Philipsen , Wolfgang Unger , Christopher Winterowd

We formulate a model of N_f=4 flavors of relativistic fermion in 2+1d in the presence of a chemical potential mu coupled to two flavor doublets with opposite sign, akin to isopsin chemical potential in QCD. This is argued to be an effective…

High Energy Physics - Lattice · Physics 2013-05-15 Wes Armour , Simon Hands , Costas Strouthos

We further pursue an approach to the sign problem of quantum chromodynamics at nonzero chemical potential, in which configurations of the lattice path integral are gathered into subsets. In the subset construction we multiply each temporal…

High Energy Physics - Lattice · Physics 2016-02-16 Jacques Bloch , Falk Bruckmann

We study the effective field theory for fermions in the color-flavor locked (CFL) phase of high density QCD. The effective theory contains a flavor nonet of baryons interacting with a nonet of pseudoscalar Goldstone bosons as well as a…

High Energy Physics - Phenomenology · Physics 2009-11-10 Andrei Kryjevski , Thomas Schaefer

Dramatic progress has been made over the last decade in the numerical study of quantum chromodynamics (QCD) through the use of improved formulations of QCD on the lattice (improved actions), the development of new algorithms and the rapid…

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