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The ultraviolet asymptotic behavior of the gluon propagator is evaluated in the maximal Abelian gauge in the SU(2) gauge theory on the basis of the renormalization-group improved perturbation theory at the one-loop level. Square-root…

High Energy Physics - Phenomenology · Physics 2016-09-06 S. M. Morozov , R. N. Rogalyov

We study SU(2) lattice gauge theory at $T>0$ in a finite box with fixed holonomy value at the spatial boundary. We search for (approximate) classical solutions of the lattice field equations and find in particular the dissociated calorons…

High Energy Physics - Lattice · Physics 2009-10-31 E. -M. Ilgenfritz , B. Martemyanov , M. Müller-Preussker , A. I. Veselov

The gluon and ghost propagators in Landau Gauge Yang-Mills Theory are investigated. Self-consistent solutions are obtained from their equations of motion above and below the presumed phase transition. Gluon confinement is manifest in these…

High Energy Physics - Phenomenology · Physics 2009-11-10 Axel Maas , Jochen Wambach , Burghard Gruter , Reinhard Alkofer

The effective action of the SU(N) Polyakov loop model in the strong coupling region and in the static limit for the quark determinant can be mapped onto the Ising model in any dimensions, with the Ising variables attached on the links of…

High Energy Physics - Lattice · Physics 2023-09-20 B. Allés , O. Borisenko , A. Papa , S. Voloshyn

We give preliminary numerical results for the gluon propagator evaluated both in coordinate and momentum space on a 16^3X40 quenched lattice at beta=6.0. Our findings are compared with earlier results in the literature at zero momentum. In…

High Energy Physics - Lattice · Physics 2009-10-22 C. Bernard , C. Parrinello , A. Soni

We report on the infrared limit of the quenched lattice Landau gauge gluon and ghost propagators computed from large asymmetric lattices. In particular, the compatibility of the pure power law infrared solutions of the Dyson-Schwinger…

High Energy Physics - Lattice · Physics 2009-09-29 P. J. Silva , O. Oliveira

SU(2) lattice gauge theory with four flavors of quarks is simulated at nonzero chemical potential mu and temperature T and the results are compared to the predictions of Effective Lagrangians. Simulations on 16^4 lattices indicate that at…

High Energy Physics - Lattice · Physics 2009-11-07 John B. Kogut

The screened massive expansion of full QCD is used in conjunction with a model for infrared quark masses to compute the Landau-gauge gluon propagator at finite temperature and baryonic density. Analytic expressions up to a one-dimensional…

High Energy Physics - Theory · Physics 2025-03-14 Giorgio Comitini , Fabio Siringo

Numerical computations are performed and analytic bounds are obtained on the excited spectrum of glueballs in SU(infinity) gauge theory, by transverse lattice Hamiltonian methods. We find an exponential growth of the density of states,…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. Dalley , B. van de Sande

The gluon propagator in Landau gauge is calculated on the lattice for SU(2) gauge theory. In particular the manifestation of confinement in the gluon propagator is studied. Removing the confining center vortices from the Yang-Mills ensemble…

High Energy Physics - Lattice · Physics 2015-06-25 K. Langfeld , H. Reinhardt , J. Gattnar

In SU(3) lattice QCD, we study diagonal and off-diagonal gluon propagators in the maximally Abelian (MA) gauge with U(1)$_3 \timesU(1)_8$ Landau gauge fixing. These propagators are studied both in the coordinate space and in the momentum…

High Energy Physics - Lattice · Physics 2013-05-01 Shinya Gongyo , Hideo Suganuma

We consider the gluon propagator $D(p^2)$ at various lattice sizes and spacings in the case of pure SU(3) Yang-Mills gauge theories using the Landau gauge fixing. We discuss a class of fits in the infrared region in order to (in)validate…

High Energy Physics - Lattice · Physics 2010-04-22 D. Dudal , O. Oliveira , N. Vandersickel

We investigate the temperature dependence of the Landau gauge gluon and ghost propagators in lattice QCD with two flavors of maximally twisted mass fermions. For these propagators we provide and analyze data which corresponds to pion mass…

High Energy Physics - Lattice · Physics 2013-06-19 R. Aouane , F. Burger , E. -M. Ilgenfritz , M. Muller-Preussker , A. Sternbeck

SU(2) gauge theory is investigated with a lattice action which is insensitive to small perturbations of the lattice gauge fields. Bare perturbation theory can not be defined for such actions at all. We compare non-perturbative continuum…

High Energy Physics - Lattice · Physics 2018-08-29 Daniel Nogradi , Lorinc Szikszai , Zoltan Varga

We report on the infrared limit of the quenched lattice Landau gauge gluon propagator computed from large asymmetric lattices. In particular, the compatibility of the pure power law infrared solution $(q^2)^{2\kappa}$ of the Dyson-Schwinger…

High Energy Physics - Lattice · Physics 2008-11-26 O. Oliveira , P. J. Silva

We consider the two-point correlators of Yang-Mills theories at finite temperature in the Landau gauge. We employ a model for the corresponding Yang-Mills correlators based on the inclusion of an effective mass term for gluons. The latter…

High Energy Physics - Theory · Physics 2015-06-18 U. Reinosa , J. Serreau , M. Tissier , N. Wschebor

We study the Landau gauge propagators of the lattice SU(2) 3d adjoint Higgs model, considered as an effective theory of high temperature 4d SU(2) gauge theory. From the long distance behaviour of the propagators we extract the screening…

High Energy Physics - Lattice · Physics 2009-10-31 F. Karsch , M. Oevers , P. Petreczky

We extend the covariant variational approach for SU(N) Yang-Mills theory in Landau gauge to non-zero temperatures. The renormalization of the zero-temperature case is revisited and it is shown that the same counterterms are sufficient to…

High Energy Physics - Theory · Physics 2015-08-05 Markus Quandt , Hugo Reinhardt

We study the gluon propagator $D_{\mu\nu}^{ab}(x)$ in the Landau gauge in SU(3) lattice QCD at $\beta$ = 5.7, 5.8, and 6.0 at the quenched level. The effective gluon mass is estimated as $400 \sim 600$MeV for $r \equiv (x_\alpha…

High Energy Physics - Lattice · Physics 2009-12-18 Takumi Iritani , Hideo Suganuma , Hideaki Iida

Scaling of the Landau gauge gluon propagator calculated at beta=6.0 and at beta=6.2 is demonstrated. A variety of functional forms for the gluon propagator calculated on a large (32^3x64) lattice at beta=6.0 are investigated.

High Energy Physics - Lattice · Physics 2008-11-26 D. B. Leinweber , C. Parrinello , J. I. Skullerud , A. G. Williams