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2-color QCD, i. e. QCD with the gauge group SU(2), is the simplest non-Abelian gauge theory without sign problem at finite quark density. Therefore its study on the lattice is a benchmark for other non-perturbative approaches at finite…

High Energy Physics - Lattice · Physics 2018-04-18 Ouraman Hajizadeh , Tamer Boz , Axel Maas , Jon-Ivar Skullerud

Motivated by color-magnetic instabilities in QCD, we investigate field-strength correlations in both SU(2) and SU(3) lattice QCD. In the Euclidean Landau gauge, we numerically calculate the perpendicular-type color-magnetic correlation,…

High Energy Physics - Lattice · Physics 2025-10-16 Hideo Suganuma , Atsuya Tokutake , Kei Tohme

We study the two-point field-strength correlation $g^2 \langle G_{\mu\nu}^a(s)G^b_{\alpha\beta}(s') \rangle$ in the Landau gauge in SU(2) and SU(3) quenched lattice QCD, as well as the gluon propagator $g^2 \langle A_\mu^a (s)A_\nu^b(s')…

High Energy Physics - Lattice · Physics 2025-10-17 Atsuya Tokutake , Kei Tohme , Hideo Suganuma

We analyze the relation between Faddeev-Popov eigenmodes and gluon-momentum components in the Coulomb gauge using SU(3) lattice QCD. In the Coulomb gauge, the color-Coulomb energy is largely enhanced by near-zero Faddeev-Popov eigenmodes,…

High Energy Physics - Lattice · Physics 2015-06-04 Takumi Iritani , Hideo Suganuma

We derive some exact bounds on the free energy $W(J)$ in QCD, where $J_\mu^b$ is a source for the gluon field $A_\mu^b$ in the minimal Landau gauge, and $W(J)$ is the generating functional of connected gluon correlators. Among other…

High Energy Physics - Lattice · Physics 2013-01-17 Axel Maas , Daniel Zwanziger

2-color QCD is the simplest QCD-like theory which is accessible to lattice simulations at finite density. It therefore plays an important role to test qualitative features and to provide benchmarks to other methods and models, which do not…

High Energy Physics - Lattice · Physics 2019-05-28 Tamer Boz , Ouraman Hajizadeh , Axel Maas , Jon-Ivar Skullerud

In order to study the temperature dependence of the quark-hadron phase structure and the QCD equation of state in vanishing and finite magnetic field, the SU(3) Polyakov linear-sigma model is utilized. In mean field approximation, the…

High Energy Physics - Lattice · Physics 2017-02-06 Abdel Magied Abdel Aal Diab , Abdel Nasser Tawfik , M. T. Hussein

The problem of color superconductivity in dense QCD is reconsidered in the improved rainbow approximation to the Schwinger-Dyson equation. The effect of the unscreened magnetic modes of gluons on the value of the color condensate is…

High Energy Physics - Phenomenology · Physics 2014-11-17 D. K. Hong , V. A. Miransky , I. A. Shovkovy , L. C. R. Wijewardhana

Some magnetic aspects of QCD are discussed at finite density and temperature. Possibility of spontaneous magnetization is studied within Landau Fermi-liquid theory, and the important roles of the screening effects for gluon propagation are…

High Energy Physics - Phenomenology · Physics 2011-09-30 Toshitaka Tatsumi

We analyze the magnetic moment of gluon, find if QCD is nongauge SU(3) theory then the magnetic moment of gluon varnishes, but if QCD is gauge theory then the magnetic moment of gluon will not vanishes. The magnetic moment of gluon can be…

General Physics · Physics 2008-10-30 Yu Kun Qian

Starting from the QCD Hamiltonian in near-light cone coordinates, we study the dynamics of the gluonic zero modes. Euclidean 2+1 dimensional lattice simulations show that the gap at strong coupling vanishes at intermediate coupling. This…

High Energy Physics - Phenomenology · Physics 2009-10-31 E. -M. Ilgenfritz , Yu. P. Ivanov , H. -J. Pirner

We present a detailed study of the recently proposed gapless color superconductivity in neutral two-flavor quark matter in beta-equilibrium at zero as well as at finite temperature. We clarify the nature of the fermionic quasiparticles, and…

High Energy Physics - Phenomenology · Physics 2010-04-05 Mei Huang , Igor Shovkovy

We investigate gluon spectral functions at finite temperature in Landau gauge, based on a subset of lattice QCD ensembles with $N_f=2+1+1$ dynamical twisted mass quarks flavors, generated by the tmfT collaboration. Our study uses a novel…

High Energy Physics - Lattice · Physics 2018-04-04 Ernst-Michael Ilgenfritz , Jan M. Pawlowski , Alexander Rothkopf , Anton Trunin

Landau gauge gluon propagators are studied numerically in the SU(3) gluodynamics as well as in the full QCD with the number of flavors $n_F=2$ using efficient gauge fixing technique. We compare these propagators at temperatures very close…

High Energy Physics - Lattice · Physics 2015-05-27 V. G. Bornyakov , V. K. Mitrjushkin

We study the chiral symmetry in two-color QCD with N massless flavors at finite temperature, using an effective theory. For the gauge group SU(2), the chiral symmetry is enlarged to SU(2N), which is then spontaneously broken to Sp(2N) at…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. Wirstam

Using SU(3) lattice QCD, we investigate role of spatial gluons for hadron masses in the Coulomb gauge, considering the relation between QCD and the quark model. From the Coulomb-gauge configurations at the quenched level on a $16^3 \times…

High Energy Physics - Lattice · Physics 2023-01-11 Hiroki Ohata , Hideo Suganuma

The three gluon one particle irreducible function is investigated using lattice QCD simulations over a large region of momentum in the Landau gauge for four dimensional pure Yang-Mills equations and the SU(3) gauge group. The results favor…

High Energy Physics - Lattice · Physics 2016-10-12 Anthony G. Duarte , Orlando Oliveira , Paulo J. Silva

We develop here a nonperturbative framework to study quantum chromodynamics (QCD) at finite temperatures using the thermofield dynamics (TFD) method of Umezawa. The methodology considered here is self-consistent and variational. There is a…

High Energy Physics - Phenomenology · Physics 2009-10-22 A. Mishra , H. Mishra , S. P. Misra , S. N. Nayak

During the first part of this review we will focus on the thermodynamics of $SU(N)$ gauge theories at finite temperature. We will present results from a calculation of electric and magnetic screening masses for the gluons, discuss…

High Energy Physics - Lattice · Physics 2007-05-23 Frithjof Karsch

We present the results of an exploratory study (by means of Monte Carlo simulations on the lattice) of the properties of the gauge-invariant two-point correlation functions of the gauge-field strengths for $N_f=2$ QCD at zero temperature…

High Energy Physics - Lattice · Physics 2016-11-09 Enrico Meggiolaro , Massimo D'Elia , Michele Mesiti , Francesco Negro
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