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We discuss a class of saddle-point configurations in SU(2) lattice gauge theory in three Euclidean dimensions. These configurations are smooth on the scale of the lattice and have an action density exhibiting localized peaks, as has been…

High Energy Physics - Lattice · Physics 2016-11-03 Robert D. Mawhinney

The zero-temperature critical state of the two-dimensional gauge glass model is investigated. It is found that low-energy vortex configurations afford a simple description in terms of gapless, weakly interacting vortex-antivortex pair…

Disordered Systems and Neural Networks · Physics 2009-11-10 Lei-Han Tang , Peiqing Tong

In d=3 SU(N) gauge theory, we study a scalar field theory model of center vortices that furnishes an approach to the determination of so-called k-string tensions. This model is constructed from string-like quantum solitons introduced…

High Energy Physics - Theory · Physics 2009-11-10 John M. Cornwall

We study the vortex state in a magnetic field parallel to the $c$ axis in the framework of the extended Ginzburg Landau equation. We find the vortex acquires a fourfold modulation proportional to $\cos(4\phi)$ where $\phi$ is the angle…

Superconductivity · Physics 2009-10-31 Jun'ichi Shiraishi , Mahito Kohmoto , Kazumi Maki

We use an effective matrix model to study deconfinement in a pure SU(Nc) gauge theory, without quarks, in d=2+1 dimensions. Expanding about a constant background A0 field we construct an effective potential for the eigenvalues of the…

High Energy Physics - Phenomenology · Physics 2014-04-23 Pedro Bicudo , Robert D. Pisarski , Elina Seel

The center vortex model for the infrared sector of SU(3) Yang-Mills theory is reviewed. After discussing the physical foundations underlying the model, some technical aspects of its realisation are discussed. The confining properties of the…

High Energy Physics - Lattice · Physics 2011-07-19 Markus Quandt , Hugo Reinhardt , Michael Engelhardt

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 report two probes of centre vortices in pure SU(2). First, we attempt to generate plaquette-size Z(2) vortices in a quasi-random way to compare the structure with those of projected centre vortices from the full theory; our prescription…

High Energy Physics - Lattice · Physics 2015-06-25 P. W. Stephenson

The vortex partition function in 2d N = (2,2) U(N) gauge theory is derived from the field theoretical point of view by using the moduli matrix approach. The character for the tangent space at each moduli space fixed point is written in…

High Energy Physics - Theory · Physics 2012-07-30 Toshiaki Fujimori , Taro Kimura , Muneto Nitta , Keisuke Ohashi

We review applications of factorization methods to the problem of finding stationary point vortex patterns in two-dimensional fluid mechanics. Then we present a new class of patterns related to periodic analogs of Schrodinger operators from…

Mathematical Physics · Physics 2025-06-05 Igor Loutsenko , Oksana Yermolayeva

The visualization of the magnetic responses of a two-dimensional (2D) superconducting material on the nanoscale is a powerful approach to unravel the underlying supercurrent behavior and to investigate critical phenomena in reduced…

We extract the vortex lattice parameters using low-frequency two-coil mutual inductance measurements in a 20-nm-thick superconducting a-MoGe thin film. We fit the temperature dependence of ac penetration depth in the mixed state using a…

Superconductivity · Physics 2022-12-08 Soumyajit Mandal , Somak Basistha , John Jesudasan , Vivas Bagwe , Pratap Raychaudhuri

We obtain precise values for the fugacities of vortices in the 2-d planar rotor model from Monte Carlo simulations in the sector with {\em no} vortices. The bare spinwave stiffness is also calculated and shown to have significant…

Statistical Mechanics · Physics 2016-08-31 S. Sengupta , P. Nielaba , K. Binder

We address the question of the order of the deconfinement phase transition of four dimensional U(1) lattice gauge theory. Simulations of the Z-gauge theory dual to the Villain action on toroidal lattices up to lattice sizes of 28^4 give…

High Energy Physics - Lattice · Physics 2009-10-31 J. Cox , T. Neuhaus , H. Pfeiffer

The 2+1 dimensional pure SU(N) gauge theories with N <= 4 are candidates for applying the powerful tools of scaling and universality to their deconfinement transitions at finite temperature. The corresponding 2 dimensional q-state Potts…

High Energy Physics - Phenomenology · Physics 2015-05-20 Lorenz von Smekal , Sam R Edwards , Nils Strodthoff

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

The importance of examining the structure of centre-vortex matter in the ground-state fields of nonabelian gauge-field theory has been demonstrated in the recent centre-vortex based discovery of a second finite-temperature transition in QCD…

High Energy Physics - Lattice · Physics 2025-03-31 Jackson A. Mickley , Waseem Kamleh , Derek B. Leinweber

We address the problem of determining the type I, type II or borderline dual superconductor behavior in maximal Abelian gauge SU(2) through the study of the dual Abrikosov vortex. We find that significant electric currents in the simulation…

High Energy Physics - Lattice · Physics 2008-11-26 Richard W. Haymaker , Takayuki Matsuki

The structure of center vortices is studied in SU(4) Yang-Mills theory for the first time to illuminate the interplay between elementary (center charge $\pm 1$) and doubly charged vortices. Unlike in SU(3), where charge $+2$ vortices are…

High Energy Physics - Lattice · Physics 2025-07-22 Jackson A. Mickley , Derek B. Leinweber , Luis E. Oxman

The spacial distribution of fields and currents in confining theories can give direct evidence of dual superconductivity. We would like to discuss the techniques for finding these properties and calculating the superconductivity parameters…

High Energy Physics - Lattice · Physics 2016-11-03 Richard W. Haymaker