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We study the influence of relativistic rotation on the confinement/deconfinement phase transition in gluodynamics by means of lattice simulations. The simulation is performed in the reference frame which rotates with the system under…

High Energy Physics - Lattice · Physics 2023-10-31 V. V. Braguta , A. Yu. Kotov , D. D. Kuznedelev , A. A. Roenko

We compute the effective action in terms of the Polyakov loop for the 3-dimensional pure fundamental-adjoint SU(2) lattice gauge theory at non-zero temperatures using the strong coupling expansion. In the extended coupling plane we show the…

High Energy Physics - Lattice · Physics 2009-09-25 Manu Mathur

The analytic strong coupling expansion of the gluodynamics under a rotation with an angular velocity $\omega$ is reported. While the expansion is systematic, free from additional assumptions, the deconfinement temperature determined by the…

High Energy Physics - Phenomenology · Physics 2025-05-22 Sheng Wang , Jun-Xia Chen , Defu Hou , Hai-Cang Ren

We present a numerical study of the gluon propagator in lattice Landau gauge for three-dimensional pure-SU(2) lattice gauge theory at couplings beta = 4.2, 5.0, 6.0 and for lattice volumes V = 40^3, 80^3, 140^3. In the limit of large V we…

High Energy Physics - Lattice · Physics 2008-11-26 Attilio Cucchieri , Tereza Mendes , Andre Taurines

We evaluate numerically the four-momentum-space gluon propagator in lattice Landau gauge, for pure SU(2) lattice gauge theory with periodic boundary conditions. Simulations are done in the strong-coupling regime, namely at $\beta = 0, 0.8,…

High Energy Physics - Lattice · Physics 2009-10-30 Attilio Cucchieri

We present explicit numerical evidence of reflection-positivity violation for the lattice Landau gluon propagator in three-dimensional pure SU(2) gauge theory. We use data obtained at very large lattice volumes (V = 80^3, 140^3) and for…

High Energy Physics - Lattice · Physics 2009-11-10 Attilio Cucchieri , Tereza Mendes , Andre R. Taurines

The liquid droplet formula is applied to an analysis of the properties of geometrical (anti)clusters formed in SU(2) gluodynamics by the Polyakov loops of the same sign. Using this approach, we explain the phase transition in SU(2)…

High Energy Physics - Lattice · Physics 2017-04-05 A. Ivanytskyi , K. Bugaev , E. Nikonov , E. -M. Ilgenfritz , V. Sagun , I. Mishustin , V. Petrov , G. Zinovjev

The Landau-gauge gluon propagator is computed for the SU(3) gauge theory on lattices up to a size of $32^3 \times 200$. We use the standard Wilson action at $\beta = 6.0$ and compare our results with previous computations using large…

High Energy Physics - Lattice · Physics 2008-11-26 O. Oliveira , P. J. Silva , E. -M. Ilgenfritz , A. Sternbeck

Critical properties of the compact three-dimensional U(1) lattice gauge theory are explored at finite temperatures on an asymmetric lattice. For vanishing value of the spatial gauge coupling one obtains an effective two-dimensional spin…

High Energy Physics - Lattice · Physics 2011-02-14 Oleg Borisenko , Mario Gravina , Alessandro Papa

We present an analytic description of numerical results for the Landau-gauge SU(2) gluon propagator D(p^2), obtained from lattice simulations (in the scaling region) for the largest lattice sizes to date, in d = 2, 3 and 4 space-time…

High Energy Physics - Lattice · Physics 2013-05-30 Attilio Cucchieri , David Dudal , Tereza Mendes , Nele Vandersickel

We discuss SU(N) gluo-dynamics at finite temperature and on a spatial circle. We show that the effective action for the Polyakov Loop operator is a one dimensional gauged SU(N) principle chiral model with variables in the loop space and…

High Energy Physics - Theory · Physics 2016-09-06 G. Grignani , G. Semenoff , P. Sodano

We reinvestigate the problem of Gribov ambiguities within the Landau (or Lorentz) gauge for the ghost and gluon propagators in pure SU(2) lattice gauge theory. We make use of the full symmetry group of the action taking into account {\it…

High Energy Physics - Lattice · Physics 2009-11-11 I. L. Bogolubsky , G. Burgio , V. K. Mitrjushkin , M. Mueller-Preussker

Deconfinement and screening of higher-representation sources in finite-temperature $SU(2)$ lattice gauge theory is investigated by both analytical and numerical means. The effective Polyakov-line action at strong coupling is simulated by an…

High Energy Physics - Lattice · Physics 2009-10-22 P. H. Damgaard , M. Hasenbusch

We consider the SU(2) lattice gauge theory at finite temperature in (d+1) dimensions, with different couplings $\beta_t$ and $\beta_s$ for timelike and spacelike plaquettes. By using the character expansion of the Wilson action and…

High Energy Physics - Lattice · Physics 2009-10-28 M. Billo' , M. Caselle , A. D'Adda , S. Panzeri

Lattice results for the gluon propagator in SU(2) pure gauge theory obtained on large lattices are presented. Simulated annealing is used throughout to fix the Landau gauge. We concentrate on checks for Gribov copy effects and for scaling…

High Energy Physics - Lattice · Physics 2010-11-05 I. L. Bogolubsky , E. -M. Ilgenfritz , M. Müller-Preussker , A. Sternbeck

We evaluate numerically the three-momentum-space gluon propagator in the lattice Landau gauge, for three-dimensional pure-SU(2) lattice gauge theory with periodic boundary conditions. Simulations are done for nine different values of the…

High Energy Physics - Lattice · Physics 2009-10-31 Attilio Cucchieri

Motivated by the recent high-precision lattice data on Yang-Mills equations of state, we propose an effective theory of SU(3) gluonic matter. The theory is constructed based on the center and scale symmetries and their dynamical breaking,…

High Energy Physics - Phenomenology · Physics 2015-06-16 Chihiro Sasaki , Igor Mishustin , Krzysztof Redlich

We extend a previous improved action study of the Landau gauge gluon propagator, by using a variety of lattices with spacings from $a = 0.17$ to 0.41 fm, to more fully explore finite volume and discretization effects. We also extend a…

High Energy Physics - Lattice · Physics 2010-03-04 F. D. R. Bonnet , P. O. Bowman , D. B. Leinweber , A. G. Williams , J. M. Zanotti

Lattice tensor representations are used to investigate the lattice Landau gauge gluon propagator for the 4-dimensional pure SU(3) Yang-Mills gauge theory. Due to the different symmetry structure of hypercubic lattices compared to the…

High Energy Physics - Lattice · Physics 2021-12-01 Guilherme Catumba , Orlando Oliveira , Paulo J. Silva

We investigated the gauge (in)dependence of the confinement mechanism due to monopole condensation in SU(2) lattice QCD by various abelian projections. We found (1) the string tension can be reproduced by monopoles alone also in Polyakov…

High Energy Physics - Lattice · Physics 2009-10-28 Shinji Ejiri , Shun-ichi Kitahara , Yoshimi Matsubara , Tsuyoshi Okude , Tsuneo Suzuki , Koji Yasuta