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We present a review, of recent developments on non-linear gauge theory containing a $\sqrt{-F^2}$ term, known to produce "confining" features in flat space, coupled to gravity.

General Relativity and Quantum Cosmology · Physics 2014-09-09 Mahary Vasihoun , Eduardo Guendelman

The properties of the ground state wavefunctional in gluodynamics responsible for confinement are considered. It is shown that confinement arises due to the generation of a mass gap in the averaging over the gauge group which is necessary…

High Energy Physics - Theory · Physics 2009-10-30 K. Zarembo

We consider in detail the problem of gauge dependence that exists in relativistic perturbation theory, going beyond the linear approximation and treating second and higher order perturbations. We first derive some mathematical results…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Marco Bruni , Sabino Matarrese , Silvia Mollerach , Sebastiano Sonego

Phase equilibrium in confined Ising antiferromagnets was studied as a function of the coupling (v) and a magnetic field (h) at the surfaces, in the presence of an external field H. The ground state properties were calculated exactly for…

Materials Science · Physics 2009-10-31 A. Diaz-Ortiz , J. M. Sanchez

In the paper we provide new conditions ensuring the isolated calmness property and the Aubin property of parameterized variational systems with constraints depending, apart from the parameter, also on the solution itself. Such systems…

Optimization and Control · Mathematics 2019-02-21 Matúš Benko , Helmut Gfrerer , Jiří V. Outrata

Compact U(1) lattice gauge theory in four dimensions is studied by means of an efficient algorithm which exploits the duality transformation properties of the model. We focus our attention onto the confining regime, considering the…

High Energy Physics - Lattice · Physics 2009-02-07 Marco Panero

We investigate the behavior of the entanglement entropy of a confining gauge theory near cosmological singularities using gauge/gravity duality. As expected, the coefficients of the UV divergent terms are given by simple geometric…

High Energy Physics - Theory · Physics 2017-07-26 Netta Engelhardt , Gary T. Horowitz

We show the inconsistency of the argument linking the integral quantum Hall effect to gauge invariance. The inconsistency mainly consists of equating gauge and real vector potential transformations for a particular system geometry. Correct…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Reinhold Brueckner

In this paper the problem of the gauge in a bound state calculation is discussed. In particular, in order to verify the gauge invariance in the energy levels expansion, some set of gauge invariant contributions are given.

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Vairo

We determine, by numerical simulations on a lattice, the gauge-invariant two-point correlation functions of the gauge field strengths in the QCD vacuum with four flavours of dynamical staggered fermions.

High Energy Physics - Lattice · Physics 2009-10-30 Massimo D'Elia , Adriano Di Giacomo , Enrico Meggiolaro

Keywords: nonequilibirum phenomena; diffusion in confined systems; dynamics and relaxation in confined systems; entropic transport in confined systems; ion and polymer translocation; forces induced by fluctuations; confined active mater;…

Statistical Mechanics · Physics 2018-09-20 Giancarlo Franzese , Ivan Latella , J. Miguel Rubi

The critical dynamics of superconductors in the charged regime is reconsidered within field-theory. For the dynamics the Ginzburg-Landau model with complex order parameter coupled to the gauge field suggested earlier [Lannert et al. Phys.…

Superconductivity · Physics 2007-05-23 M. Dudka , R. Folk , G. Moser

Solutions for scalar fields superdense gravitating systems of flat, open and closed type obtained in the frame of gauge theories of gravitation are discussed. Properties of these systems in dependence on parameter $\beta$ and initial…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. V. Minkevich , A. S. Garkun , Yu. G. Vasilevski

We review certain properties of confinement with added focus on the ones we study with holography. Then we discuss observables whose unique behavior can indicate the presence of confinement. Using mainly the Wilson loop in the gauge/gravity…

High Energy Physics - Theory · Physics 2015-05-27 Dimitrios Giataganas

We study systems of a few charged bosons contained within a strongly anisotropic harmonic trap. A detailed examination of the ground-state correlation properties of two-, three-, and four-particle systems is carried out within the framework…

Quantum Physics · Physics 2012-03-15 Przemyslaw Koscik , Anna Okopinska

We report on recent progress in understanding confinement of colour in $QCD$ as dual superconductivity of the vacuum. A gauge invariant version of the creation operator of monopoles is constructed whose vacuum expectation value is the order…

High Energy Physics - Lattice · Physics 2022-10-10 Adriano Di Giacomo

Gauge field configurations appropriate for the infrared region of QCD are proposed. Using the usual QCD action, confinement is realized as in the London theory of Meissner effect.

High Energy Physics - Theory · Physics 2007-05-23 R. Parthasarathy

A non supersymmetric string background, directly derived from the string soft dilaton theorem, is used to compute, in the semiclassical approximation, the expectation value of Wilson loops in static gauge. The resulting potential shares…

High Energy Physics - Theory · Physics 2014-11-18 Enrique Alvarez , Cesar Gomez

We investigate features of the deconfinement phase transition in an $SU(N_c)$ gauge theory as revealed by fluctuations of the order parameter. The tool of choice is an effective model built from one-loop expressions of the field…

High Energy Physics - Phenomenology · Physics 2021-05-05 Pok Man Lo , Krzysztof Redlich , Chihiro Sasaki

A model is introduced with a massive scalar coupling to the Yang--Mills term in four--dimensional gauge theory. It is shown that the resulting potential of colour sources consists of a short range Coulomb interaction and a long range…

High Energy Physics - Phenomenology · Physics 2011-09-13 Rainer Dick