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The geometry of centre vortices is studied in $\mathrm{SU(3)}$ gauge theory at finite temperature to capture the key structural changes that occur through the deconfinement phase transition. Visualisations of the vortex structure in…

High Energy Physics - Lattice · Physics 2024-08-28 Jackson A. Mickley , Waseem Kamleh , Derek B. Leinweber

Coherent boundaries of Lagrangian vortices in fluid flows have recently been identified as closed orbits of line fields associated with the Cauchy-Green strain tensor. Here we develop a fully automated procedure for the detection of such…

Dynamical Systems · Mathematics 2015-01-19 Daniel Karrasch , Florian Huhn , George Haller

A lattice gauge theory with an action polynomial in independent field variables is considered. The link variables are described by unconstrained complex matrices instead of unitary ones. A mechanism which permits to switch off in the…

High Energy Physics - Theory · Physics 2007-05-23 V. A. Franke , S. A. Paston , E. V. Prokhvatilov

Non-perturbatively computing the hadronic vacuum polarization at large photon virtualities and making contact with perturbation theory enables a precision determination of the electromagnetic coupling at the $Z$ pole, which enters global…

High Energy Physics - Lattice · Physics 2022-01-19 Marco Cè , Tim Harris , Harvey B. Meyer , Arianna Toniato , Csaba Török

Maximal center gauge (MCG) aims to detect some of the most important vacuum configurations, suggesting thick magnetic flux tubes quantised to non-trivial center elements of the gauge group being responsible for confinement. Due to the…

High Energy Physics - Lattice · Physics 2023-09-26 Zeinab Dehghan , Rudolf Golubich , Roman Höllwieser , Manfried Faber

Gauge fields control the dynamics of fermions, also a back reaction of fermions on the gauge field is expected. This back reaction is investigated within the vortex picture of the QCD vacuum. We show that the center vortex model reproduces…

High Energy Physics - Lattice · Physics 2021-04-06 Sedigheh Deldar , Zeinab Dehghan , Manfried Faber , Rudolf Golubich , Roman Höllwieser

Scalar electrodynamics can be used to investigate the formation of cosmic strings in the early universe. We present the results of lattice Monte Carlo simulations of an effective three-dimensional U(1)+Higgs theory that describes the…

High Energy Physics - Lattice · Physics 2007-05-23 A. Rajantie , K. Kajantie , M. Karjalainen , M. Laine , J. Peisa

The methods for studying the role of vortex loops in the phase transition of the Ginzburg-Landau theory of superconductivity using lattice Monte Carlo simulations are discussed. Gauge-invariant observables that measure the properties of the…

Condensed Matter · Physics 2009-10-31 A. Rajantie

I review recent lattice results on strongly interacting matter under extreme conditions, with emphasis on the finite-temperature QCD transition at $\mu_B=0$, its approach toward the chiral limit and the fate of the $U_A(1)$ anomaly, as well…

High Energy Physics - Lattice · Physics 2026-05-12 Heng-Tong Ding

After giving an overview of recently invented methods for simulating lattice QCD at small mu/T, we discuss some results for bulk thermodynamic quantities of QCD matter coming from those methods. We focus on the transition line and the…

High Energy Physics - Lattice · Physics 2017-08-23 C. Schmidt

Vortices are swirling regions of fluid that structure motion in gases and liquids across a wide range of scales, from laboratory-scale experiments to vast atmospheric currents. They play a key role in mixing, transport, and energy transfer,…

Fluid Dynamics · Physics 2026-02-18 Tiemo Pedergnana , Florian Kogelbauer

The first calculation of the response of the momentum space quark propagator to center vortices in the ground state fields of QCD is presented. Center vortices are identified on 2+1-flavour dynamical gauge fields with $m_\pi \simeq 156$ MeV…

High Energy Physics - Lattice · Physics 2024-10-11 Waseem Kamleh , Derek B. Leinweber , Adam Virgili

It is suggested that the center vortex confinement mechanism, familiar in hadronic physics, may have some relevance to high-T$_\text{c}$ phenomena. We focus specifically on the transition from the superconducting phase to the pseudogap…

Strongly Correlated Electrons · Physics 2019-11-22 Jeff Greensite , Kazue Matsuyama

The feasibility of studying, numerically, properties of infinite volume QCD-like theories in the large $N$ limit using coherent state variational methods is reassessed. An entirely new implementation of this approach is described,…

High Energy Physics - Lattice · Physics 2026-02-05 Laurence G. Yaffe

We present a model of center vortices, represented by closed random lines in continuous 2+1- dimensional space- time. These random lines are modeled as being piece-wise linear and an ensemble is generated by Monte Carlo methods. The…

High Energy Physics - Lattice · Physics 2014-11-27 Roman Höllwieser , Derar Altarawneh , Michael Engelhardt

Centre-vortex surfaces are mapped out in four dimensions within the framework of SU(3) lattice gauge theory to understand the role of secondary loops that develop in three-dimensional visualisations of centre-vortex structure, appearing…

High Energy Physics - Lattice · Physics 2025-09-17 Jackson A. Mickley , Chris Allton , Ryan Bignell , Derek B. Leinweber

We present a variety of numerical data supporting the Center Vortex theory of confinement. A method is introduced for identifying the location of center vortices, in thermalized gauge-field configurations generated by lattice Monte Carlo.…

High Energy Physics - Lattice · Physics 2007-05-23 L. Del Debbio , M. Faber , J. Greensite , S. Olejnik

QCD matter at finite temperature and density is a subject that has witnessed very impressive theoretical developments in the recent years. In this review I will discuss some new insights on the microscopic degrees of freedom of the QCD…

High Energy Physics - Lattice · Physics 2021-09-22 Sayantan Sharma

We present a method to couple finite-volume QCD to infinite-volume QED by an appropriate twist-averaging procedure. We demonstrate the prescription numerically for the leading-order hadronic contribution to the anomalous magnetic moment of…

High Energy Physics - Lattice · Physics 2015-03-17 Christoph Lehner , Taku Izubuchi

We address two questions related to the procedure of identifying center vortices based on center projection in maximal center gauge: 1. How does the procedure work, why is it expected to locate center vortices relevant for confinement, and…

High Energy Physics - Lattice · Physics 2007-05-23 M. Faber , J. Greensite , S. Olejnik , D. Yamada
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