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For SU(2) lattice gauge theory, a new SO(3) cooling procedure is proposed which removes the SU(2)/Z(2) coset fields from the lattice configurations and reveals a Z(2) vortex vacuum texture different from the P-vortex content obtained in the…

High Energy Physics - Lattice · Physics 2016-09-01 K. Langfeld , E. -M. Ilgenfritz , H. Reinhardt

We consider a new cooling procedure which separates gluon degrees of freedom from singular center vortices in SU(2) LGT in a gauge invariant way. Restricted by a cooling scale $\kappa^4/\sigma^2$ fixing the residual SO(3) gluonic action…

High Energy Physics - Lattice · Physics 2015-06-25 K. Langfeld , E. -M. Ilgenfritz , H. Reinhardt , A. Schäfke

We determine the non-perturbative gluon condensate of four-dimensional SU(3) gauge theory in a model independent way. This is achieved by carefully subtracting high order perturbation theory results from non-perturbative lattice QCD…

High Energy Physics - Phenomenology · Physics 2014-09-05 Gunnar S. Bali , Clemens Bauer , Antonio Pineda

The continuum limit of SU(2) lattice gauge theory is carefully investigated at zero and at finite temperatures. It is found that the continuum gauge field has singularities originating from center degrees of freedom being discovered in…

High Energy Physics - Lattice · Physics 2015-06-25 K. Langfeld , E. -M. Ilgenfritz , H. Reinhardt , G. Shin

By looking at cooled configurations on the lattice, we study the presence of peaks in the action density, or its electric and magnetic components, in the SU(2) gauge vacuum. The peaks are seen to be of instanton-like nature and their number…

High Energy Physics - Lattice · Physics 2008-11-26 A. Gonzalez Arroyo , P. Martinez , A. Montero

Lattice simulations along with studies in continuum QCD indicate that non-perturbative quantum fluctuations lead to an infrared regularisation of the gluon propagator in covariant gauges in the form of an effective mass-like behaviour. In…

High Energy Physics - Phenomenology · Physics 2022-01-25 Jan Horak , Friederike Ihssen , Joannis Papavassiliou , Jan M. Pawlowski , Axel Weber , Christof Wetterich

The large density of gluons, which is present shortly after a nuclear collision at very high energies, can lead to the formation of a condensate. We identify a gauge-invariant order parameter for condensation based on elementary…

High Energy Physics - Phenomenology · Physics 2020-08-19 Jürgen Berges , Kirill Boguslavski , Mark Mace , Jan M. Pawlowski

In three dimensions, the gluon condensate of pure SU(3) gauge theory has ultraviolet divergences up to 4-loop level only. By subtracting the corresponding terms from lattice measurements of the plaquette expectation value and extrapolating…

High Energy Physics - Lattice · Physics 2010-02-03 A. Hietanen , K. Kajantie , M. Laine , K. Rummukainen , Y. Schroder

Three dimensional SU(2) lattice gauge theory is studied after eliminating thin monopoles and the smallest thick monopoles. Kinematically this constraint allows the formation of thick vortex loops which produce Z(2) fluctuations at longer…

High Energy Physics - Lattice · Physics 2007-05-23 Srinath Cheluvaraja

An analysis of the temperature dependence of the leading contributions to the gluon condensate for SU(N) lattice gauge theory is presented using the data from recent Monte Carlo simulations. The gluon condensate is calculated directly from…

High Energy Physics - Phenomenology · Physics 2007-05-23 Graham Boyd , David E. Miller

Phenomenological evidence and analytic approximations to the QCD ground state suggest a complex gluon condensate structure. Exclusion of elementary fermion excitations by the generation of infinite mass corrections is a consequence. In…

High Energy Physics - Theory · Physics 2007-05-23 R. Vilela Mendes

SU(2) lattice gauge theory is studied after eliminating thin monopoles and the smallest thick monopoles. Kinematically this constraint allows thick vortex loops which produce long range Z(2) fluctuations. The thick vortex loops are…

High Energy Physics - Lattice · Physics 2009-11-07 Srinath Cheluvaraja

On the lattice searching for the gluon condensate is difficult because a large perturbative contribution to the expectation value of the action has to be subtracted before looking for a small contribution from a possible gluon condensate.…

High Energy Physics - Lattice · Physics 2007-05-23 P. E. L. Rakow

We present results of an investigation into the nature of instantons in 4-dimensional pure gauge lattice $SU(2)$\ obtained from configurations which have been cooled using an under-relaxed cooling algorithm. We discuss ways of calibrating…

High Energy Physics - Lattice · Physics 2016-09-01 C. Michael , P. S. Spencer

There exists a class of gauge models incorporating a finite density of matter in which the Higgs mechanism is provided by condensates of gauge (or gauge and scalar) fields, i.e., there are vector condensates in this case. We describe vortex…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. V. Gorbar , Junji Jia , V. A. Miransky

We construct a four dimensional lattice gauge theory in which fermions acquire mass without breaking symmetries as a result of gauge interactions. Our model consists of reduced staggered fermions transforming in the bifundamental…

High Energy Physics - Lattice · Physics 2021-11-02 Nouman Butt , Simon Catterall , Goksu Can Toga

We interpret lattice data for the equation of state of pure gauge $SU(3)_c$ by an evaporation model. At low temperatures gluons are frozen inside the gluon condensate, whose dynamics is described in terms of a dilaton lagrangian. Above the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Alessandro Drago , Marina Gibilisco , Claudia Ratti

The vortex theory which emerges from SU(2) lattice gauge theory by center projection is briefly reviewed. In this vortex picture, quark confinement is due to percolating (closed) vortices which are randomly linked to the Wilson loop. The…

High Energy Physics - Lattice · Physics 2007-05-23 Kurt Langfeld

The structures of confining vortices which underlie pure SU(3) Yang-Mills theory are studied by means of lattice gauge theory. Vortices and Z_3 monopoles are defined as dynamical degrees of freedom of the Z_3 gauge theory which emerges by…

High Energy Physics - Lattice · Physics 2008-11-26 Kurt Langfeld

The masslessness of gluons due to gauge invariance appears to be contradictory with the observed massive structures of hadrons. As a dual process of gauge transformation, we have to fix the gauge to quantize the gluons in order to get…

High Energy Physics - Phenomenology · Physics 2015-07-07 Eun-Joo Kim , Jong Bum Choi
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