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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

The effect of cooling on a number of observables is calculated in SU(2) lattice gauge theory. The static quark-antiquark potential and spin-dependent interactions are studied, and the topological charge is monitored. The chiral symmetry…

High Energy Physics - Lattice · Physics 2010-11-01 Howard D. Trottier , R. M. Woloshyn

We describe and test a nonperturbatively improved single-plaquette lattice action for 4-d SU(2) and SU(3) pure gauge theory, which suppresses large fluctuations of the plaquette, without requiring the naive continuum limit for smooth…

High Energy Physics - Lattice · Physics 2016-04-20 Debasish Banerjee , Michael Bögli , Kieran Holland , Ferenc Niedermayer , Michele Pepe , Urs Wenger , Uwe-Jens Wiese

Using the geometry of a double-layered torus we investigate the deconfining phase transition of pure SU(3) lattice gauge theory by Markov chain Monte Carlo simulations. In one layer, called "outside", the temperature is set below the…

High Energy Physics - Lattice · Physics 2013-11-15 Bernd A. Berg , Hao Wu

We investigate the topological structure of the vacuum in SU(3) lattice gauge theory. We use under-relaxed cooling to remove the high-frequency fluctuations and a variety of "filters" to identify the topological charges in the resulting…

High Energy Physics - Lattice · Physics 2016-08-25 Douglas A. Smith , Michael J. Teper

We introduce a gauge-invariant measure of the local "abelianicity" of any given lattice configuration in non-abelian lattice gauge theory; it is essentially a comparison of the magnitude of field strength commutators to the magnitude of the…

High Energy Physics - Lattice · Physics 2009-10-28 J. Giedt , J. Greensite

In this dissertation, we investigate the approach of pure SU(2) lattice gauge theory to its continuum limit using the deconfinement temperature, six gradient scales, and six cooling scales. We find that cooling scales exhibit similarly good…

High Energy Physics - Lattice · Physics 2019-02-20 David Clarke

We simulate the spin-1/2 Ising model and the Blume-Capel model at various values of the parameter D on the simple cubic lattice. We perform a finite size scaling study of lattices of a linear size up to L=360 to obtain accurate estimates…

Statistical Mechanics · Physics 2013-05-29 Martin Hasenbusch

In SU(2) lattice gauge theory, a new self-restricted cooling procedure is developed to uncover the gauge invariant vortex vacuum texture. The emerging vortex vacuum structure amounts to the full string tension and gives rise to a mass…

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

We measure the topological susceptibility by cooling with an over-improved action. In contrast with usual cooling, large instantons survive over-improved cooling {\em indefinitely}. By varying the parameter of the over-improved cooling…

High Energy Physics - Lattice · Physics 2009-10-28 Philippe de Forcrand , Seyong Kim

We investigate the monopole-instanton correlation in SU(2) lattice gauge theory using a renormalisation group inspired smoothing technique. We look at the properties of monopole clusters and their correlation with instantons. Since the…

High Energy Physics - Lattice · Physics 2009-10-31 Tamas G. Kovacs , Zsolt Schram

We study the gauge cooling technique for the complex Langevin method applied to the computation in lattice quantum chromodynamics. We propose a new solver of the minimization problem that optimizes the gauge, which does not include any…

High Energy Physics - Lattice · Physics 2020-10-07 Xiaoyu Dong , Zhenning Cai , Yana Di

We review some analytic results on the deconfinement transition in pure lattice gauge theories. In particular we discuss the relationship between the deconfinement transition in the $(d+1)$-dimensional $SU(2)$ model and the magnetization…

High Energy Physics - Lattice · Physics 2007-05-23 M. Caselle

For pure SU(2) lattice gauge theory at finite T, by the help of the cooling method, we search for classical (approximate) solutions having non-trivial holonomy at the spatial boundary. We identify various typical objects and provide their…

High Energy Physics - Lattice · Physics 2007-05-23 E. -M. Ilgenfritz , M. Muller-Preussker , A. I. Veselov

An overrelaxed variant of simulated annealing is applied to the problem of maximally abelian gauge fixing. The superiority of this algorithm over the commonly used relaxation procedure is demonstrated. Biases on non gauge invariant…

High Energy Physics - Lattice · Physics 2009-10-28 G. S. Bali , V. Bornyakov , M. Müller-Preussker , F. Pahl

We investigate the approach of pure SU(2) lattice gauge theory with the Wilson action to its continuum limit using the deconfining transition, Luescher's gradient flow, and the cooling flow to set the scale. Of those, the cooling flow turns…

High Energy Physics - Lattice · Physics 2021-11-19 Bernd A. Berg , David Clarke

We investigate the approach of pure SU(2) lattice gauge theory with the Wilson action to its continuum limit using the deconfining phase transition, the gradient flow and the cooling flow to set the scale. For the gradient and cooling…

High Energy Physics - Lattice · Physics 2017-05-24 Bernd A. Berg , David A. Clarke

The dynamics of instantons and anti-instantons in lattice QCD can be studied by analysing the action and topological charge of configurations as they approach a self-dual or anti-self-dual state, i.e. a state in which S/S_0=|Q|. We use…

High Energy Physics - Lattice · Physics 2010-03-04 S. Bilson-Thompson , F. D. R. Bonnet , D. B. Leinweber , A. G. Williams

We study thermodynamics of SU(3) gauge theory at fixed scales on the lattice, where we vary temperature by changing the temporal lattice size N_t=(Ta_t)^{-1}. In the fixed scale approach, finite temperature simulations are performed on…

High Energy Physics - Lattice · Physics 2010-01-21 T. Umeda , S. Ejiri , S. Aoki , T. Hatsuda , K. Kanaya , Y. Maezawa , H. Ohno

The versatile technology of cold atoms confined in optical lattices allows the creation of a vast number of lattice geometries and interactions, providing a promising platform for emulating various lattice models. This opens the possibility…

High Energy Physics - Lattice · Physics 2014-12-18 Yuzhi Liu , Yannick Meurice , Shan-Wen Tsai