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We propose a subvolume method to study the $\theta$ dependence of the free energy density of the four-dimensional SU($N$) Yang-Mills theory on the lattice. As an attempt, the method is first applied to SU(2) Yang-Mills theory at…

High Energy Physics - Lattice · Physics 2021-10-07 Ryuichiro Kitano , Ryutaro Matsudo , Norikazu Yamada , Masahito Yamazaki

Numerical results for relative weights of test gauge-field configurations in the vacuum of the SU(2) lattice gauge theory in (3+1) dimensions are compared with expectations following from various proposals for the Yang-Mills vacuum wave…

High Energy Physics - Lattice · Physics 2014-02-13 Jeff Greensite , Stefan Olejnik

SU(3) lattice gauge theory is studied by means of an improved action where a $2 \times 2$ Wilson loop is supplemented to the standard plaquette term. By contrast to earlier studies using a tree level improvement, the prefactor of the $2…

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

The new method of nonperturbative calculation of the beta-function in the lattice gauge theory is proposed. The method is based on the finite size scaling hypothesis.

High Energy Physics - Lattice · Physics 2007-05-23 O. Mogilevsky

The high-temperature phase of SU(2) Yang-Mills theory is addressed by means of dimensional reduction with a special emphasis on the properties of center vortices. For this purpose, the vortex vacuum which arises from center projection is…

High Energy Physics - Lattice · Physics 2009-10-31 J. Gattnar , K. Langfeld , A. Schafke , H. Reinhardt

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 study the phase diagram of the SU(2) lattice gauge theory with fundamental-adjoint Wilson plaquette action. We confirm the presence of a first order bulk phase transition and we estimate the location of its end-point in the bare…

High Energy Physics - Lattice · Physics 2013-02-21 Enrico Rinaldi , Giuseppe Lacagnina , Biagio Lucini , Agostino Patella , Antonio Rago

In this paper we study the shear viscosity temperature dependence of $SU(3)$--gluodynamics within lattice simulation. To do so, we measure the correlation functions of energy-momentum tensor in the range of temperatures $T/T_c\in [0.9,…

High Energy Physics - Lattice · Physics 2017-05-24 Nikita Astrakhantsev , Viktor Braguta , Andrey Kotov

A model for the quantum effective description of the vacuum structure of thermalized SU(3) Yang-Mills theory is proposed. The model is based on Abelian projection leading to a Ginzburg-Landau theory for the magnetic sector. The possibility…

High Energy Physics - Phenomenology · Physics 2017-08-23 Ralf Hofmann

We discuss a representation of the Z(3) Gauge-Higgs lattice field theory at finite density in terms of dual variables, i.e., loops of flux and surfaces. In the dual representation the complex action problem of the conventional formulation…

High Energy Physics - Lattice · Physics 2013-05-30 Christof Gattringer , Alexander Schmidt

The two-loop effective action for the SU(3) gauge model in a constant background field ${\bar A}_0(x,t)=B_0^3T_3+B_0^8T_8$ is recalculated for a gauge with an arbitrary $\xi$-parameter. The gauge-invariant thermodynamical potential is found…

High Energy Physics - Theory · Physics 2009-10-22 O. K. Kalashnikov

We investigate the dynamics of lattice gauge theories in an Abelian monopole background field. By means of the gauge-invariant lattice Schrodinger functional we study the Abelian monopole condensation in U(1) lattice gauge theory at zero…

High Energy Physics - Lattice · Physics 2015-06-25 P. Cea , L. Cosmai

We study SU(2) gluodynamics at finite temperature near the deconfining phase transition. We create the lattice ensembles using the tadpole improved Luscher-Weisz action. The overlap Dirac operator is used to determine the following three…

High Energy Physics - Lattice · Physics 2008-11-26 V. G. Bornyakov , E. V. Luschevskaya , S. M. Morozov , M. I. Polikarpov , E. M. Ilgenfritz , M. Muller-Preussker

We investigate some properties of thick vortices and thick monopoles in the SU(2) lattice gauge theory by inserting operators that create these excitations. We measure the derivative of the free energy of the vortex with respect to the…

High Energy Physics - Lattice · Physics 2009-10-31 S. Cheluvaraja

The site-reduction of U(1) lattice gauge theory along the spatial directions is used to model the monopole dynamics. The reduced theory is that of the angle-valued coordinates on the discrete worldline. Below the critical coupling…

High Energy Physics - Theory · Physics 2021-07-27 Amir H. Fatollahi

The essential features of the high-temperature electroweak phase transition are contained in a three-dimensional super-renormalizable effective field theory. We calculate the exact counterterms needed for lattice simulations of the…

High Energy Physics - Lattice · Physics 2009-10-28 M. Laine

We study the detailed properties of Z_2 domain walls in the deconfined high temperature phase of the d=2+1 SU(2) gauge theory. These walls are studied both by computer simulations of the lattice theory and by one-loop perturbative…

High Energy Physics - Lattice · Physics 2016-08-24 C. Korthals Altes , A. Michels , M. Stephanov , M. Teper

We present the first measurement of the vortex free-energy order parameter at weak coupling for SU(2) in simulations employing multihistogram methods. The result shows that the excitation probability for a sufficiently thick vortex in the…

High Energy Physics - Lattice · Physics 2009-10-31 T. G. Kovacs , E. T. Tomboulis

We compare vacuum dynamics of abelian versus non abelian lattice gauge theories in presence of external fields. We find that the deconfinement temperature of non abelian theories depends on the strength of a constant abelian chromomagnetic…

High Energy Physics - Lattice · Physics 2009-09-29 Paolo Cea , Leonardo Cosmai

There has been a surge of experimental effort recently in cooling trapped fermionic atoms to quantum degeneracy. By varying an external magnetic field, interactions between atoms can be made arbitrarily strong. When the S wave scattering…

High Energy Physics - Lattice · Physics 2009-11-10 Matthew Wingate