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The vacuum dynamics of SU(2) lattice gauge theory is studied by means of a gauge-invariant effective action, both at zero and finite temperature. Working with lattices up to 32^4 we check the scaling of the energy density with the magnetic…

High Energy Physics - Lattice · Physics 2009-10-31 Paolo Cea , Leonardo Cosmai

The dynamics of weakly coupled, non-abelian gauge fields at high temperature is non-perturbative if the characteristic momentum scale is of order |k|~ g^2 T. Such a situation is typical for the processes of electroweak baryon number…

High Energy Physics - Phenomenology · Physics 2009-09-28 Claus Zahlten , Andres Hernandez , Michael G. Schmidt

We use a gauge-invariant effective action defined in terms of the lattice Schroedinger functional to investigate vacuum dynamics and confinement in pure lattice gauge theories. After a brief introduction to the method, we report some…

High Energy Physics - Lattice · Physics 2017-08-23 Paolo Cea , Leonardo Cosmai

A new block spin renormalization group transformation for SU(N) gauge models is proposed near the non-trivial fixed point in perturbation theory and thereby the expectation values of various Wilson loops on the renormalized trajectory near…

High Energy Physics - Lattice · Physics 2011-12-01 Y. Iwasaki

We investigate lattice simulations of scalar and nonabelian gauge fields in Minkowski space-time. For SU(2) gauge-theory expectation values of link variables in 3+1 dimensions are constructed by a stochastic process in an additional (5th)…

High Energy Physics - Lattice · Physics 2008-11-26 J. Berges , Sz. Borsanyi , D. Sexty , I. -O. Stamatescu

We perform a renormalization group transformation to construct a lattice theory of chiral fermions. The field variables of the continuum theory are averaged over hypercubes to define lattice fields. Integrating out the continuum variables…

High Energy Physics - Lattice · Physics 2009-10-28 W. Bietenholz , U. -J. Wiese

We study the evolution of quantum fluctuations in the Glasma created immediately after the collision of heavy nuclei. It is shown how the presence of instabilities leads to an enhancement of non-linear interactions among initially small…

High Energy Physics - Phenomenology · Physics 2013-05-30 J. Berges , S. Schlichting

The one-loop effective action of the abelian and nonabelian Higgs models has been studied in various gauges, in the context of instanton and sphaleron transition, bubble nucleation and most recently in nonequilibrium dynamics. Gauge…

High Energy Physics - Theory · Physics 2009-10-31 J. Baacke , K. Heitmann

We quantitatively characterize the metastability in a multi-phase lattice Boltzmann model. The structure factor of density fluctuations is theoretically obtained and numerically verified to a high precision, for all simulated wave-vectors…

Statistical Mechanics · Physics 2022-12-20 Matteo Lulli , Luca Biferale , Giacomo Falcucci , Mauro Sbragaglia , Dong Yang , Xiaowen Shan

We have experimentally studied the unstable dynamics of a harmonically trapped Bose-Einstein condensate loaded into a 1D moving optical lattice. The lifetime of the condensate in such a potential exhibits a dramatic dependence on the…

Soft Condensed Matter · Physics 2009-11-10 L. Fallani , L. De Sarlo , J. E. Lye , M. Modugno , R. Saers , C. Fort , M. Inguscio

Lattice Monte Carlo simulations are performed for the SU(2) Yang Mills gauge theory in the presence of an Abelian background with external sources to obtain information on the effective potential. The goal is to investigate the lowest…

High Energy Physics - Lattice · Physics 2009-10-22 A. R. Levi

Motivated by the exotic phenomenology of certain quantum materials and recent advances in programmable quantum emulators, we here study fermions and bosons in $\mathbb Z_N$ lattice gauge theories. We introduce a family of exactly soluble…

Strongly Correlated Electrons · Physics 2023-08-28 Kaustubh Roy , Elio J. König

Finite temperature Euclidean SU(2) lattice gauge fields close to the deconfinement phase transition are subjected to cooling. We find relatively stable or absolutely stable configurations with an action below the one-instanton action…

High Energy Physics - Lattice · Physics 2007-05-23 E. -M. Ilgenfritz , B. V. Martemyanov , M. Müller-Preussker , A. I. Veselov

Using a tadpole improved SU(2) gluodynamics action, the nonabelian potential and the abelian potential after the abelian projection are computed. Rotational invariance is found restored at coarse lattices both in the nonabelian theory and…

High Energy Physics - Lattice · Physics 2010-11-19 G. I. Poulis

I discuss recent advances in the understanding of non-equilibrium gauge field dynamics in plasmas which have particle distributions which are locally anisotropic in momentum space. In contrast to locally isotropic plasmas such anisotropic…

High Energy Physics - Phenomenology · Physics 2008-10-18 Michael Strickland

A homogeneous color magnetic field is known to be unstable for the fluctuations perpendicular to the field in the color space (the Nielsen-Olesen instability). We argue that these unstable modes, exponentially growing, generate an azimuthal…

High Energy Physics - Phenomenology · Physics 2009-08-17 H. Fujii , K. Itakura , A. Iwazaki

One of the defining features of active nematics is that above a critical activity the quiescent state becomes unstable to a distorted, flowing one. We show that spatial variations in activity can fundamentally change the nature of this…

Soft Condensed Matter · Physics 2025-12-15 Alexander J. H. Houston , Michael Grinfeld , Geoff McKay , Nigel J. Mottram

We propose a gauge-invariant system of the Chern-Simons-Schrodinger type on a one-dimensional lattice. By using the spatial gauge condition, we prove local and global well-posedness of the initial-value problem in the space of square…

Mathematical Physics · Physics 2020-06-24 Hyungjin Huh , Swaleh Hussain , Dmitry E. Pelinovsky

We measure the evolution of the coupling constant using the Schroedinger functional method in the lattice formulation of SU(2) gauge theory with two massless Dirac fermions in the adjoint representation. We observe strong evidence for an…

High Energy Physics - Lattice · Physics 2013-05-29 Ari J. Hietanen , Kari Rummukainen , Kimmo Tuominen

Gauge problem of monopole dynamics is studied in SU(2) lattice gauge theory. We study first abelian and monopole contributions to the static potential in four smooth gauges, i.e., Laplacian Abelian (LA), Maximally Abelian Wilson Loop (MAWL)…

High Energy Physics - Lattice · Physics 2009-11-07 Shoichi Ito , Shun-ichi Kitahara , Tae Woong Park , Tsuneo Suzuki