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The thesis is devoted to the problem of colour confinement in the non-Abelian Yang-Mills theory (gluon part of Quantum Chromodynamics). A generalisation of the 3-dimensional Fock-Schwinger gauge is proposed where the Gauss law constraint is…

Statistical Mechanics · Physics 2024-05-24 E. G. Timoshenko

We show that one can obtain naturally the confinement of static charges from the spontaneous symmetry breaking of scale invariance in a gauge theory. At the classical level a confining force is obtained and at the quantum level, using a…

High Energy Physics - Theory · Physics 2008-11-26 Patricio Gaete , Eduardo Guendelman

We investigate a recently proposed Higgs-like model (arXiv:0811.4423 [hep-th]), in the framework of a gauge-invariant but path-dependent variables formalism. We compute the static potential between test charges in a condensate of scalars…

High Energy Physics - Theory · Physics 2010-03-26 Patricio Gaete , Euro Spallucci

We investigate the vacuum dynamics of U(1), SU(2), and SU(3) lattice gauge theories in presence of external (chromo)magnetic fields, both in (3+1) and (2+1) dimensions. We find that the critical coupling for the phase transition in compact…

High Energy Physics - Lattice · Physics 2009-11-11 Paolo Cea , Leonardo Cosmai

We show a possible way to construct a consistent formalism where the effective electric charge can change with space and time without destroying the invariance. In the previous work [1][2] we took the gauge coupling to be of the form…

High Energy Physics - Theory · Physics 2015-10-28 Eduardo. I. Guendelman , Roee Steiner

We use a variational wave function to calculate the energy of the interaction between external charges in the compact Abelian gauge theory in 2+1 dimensions with mixed action. Our variational wave functions preserve the compact gauge…

High Energy Physics - Lattice · Physics 2009-10-31 Alex Kovner , Benjamin Svetitsky

We compare vacuum dynamics of abelian versus non abelian lattice gauge theories in presence of external fields. We find that the deconfinement temperature of non abelian theories depends on the strength of a constant abelian chromomagnetic…

High Energy Physics - Lattice · Physics 2009-09-29 Paolo Cea , Leonardo Cosmai

We consider models with N U(1) gauge fields A_{\mu}^n, N Kalb-Ramond fields B_{\mu \nu}^n, an arbitrary bare action and a fixed UV cutoff \Lambda. Under mild assumptions these can be obtained as effective low energy theories of SU(N+1) Yang…

High Energy Physics - Theory · Physics 2010-02-03 U. Ellwanger , N. Wschebor

It is shown that a pointlike composite having charge and magnetic moment displays a confining potential for the static interaction while simultaneously obeying fractional statistics in a pure gauge theory in three dimensions, without a…

High Energy Physics - Theory · Physics 2009-11-10 Patricio Gaete , Clovis Wotzasek

Using the lattice Schr\"odinger functional we study vacuum dynamics of SU(3) gauge theory at finite temperature. The vacuum is probed by means of an external constant Abelian chromomagnetic field. We find that by increasing the strength of…

High Energy Physics - Lattice · Physics 2009-11-07 Paolo Cea , Leonardo Cosmai

We present potentials between static charges from simulations of quantum gravity coupled to an SU(2) gauge field on $6^{3}\times 4$ and $8^{3}\times 4$ simplicial lattices. The action consists of the gravitational term given by Regge's…

High Energy Physics - Lattice · Physics 2016-08-31 W. Beirl , B. A. Berg , B. Krishnan , H. Markum , J. Riedler

We explore the physical consequences of a new nonlinear electrodynamics, for which the electric field of a point-like charge is finite at the origin, as in the well-known Born-Infeld electrodynamics. However, contrary to the latter, in this…

General Physics · Physics 2018-01-17 Patricio Gaete , José A. Helayël-Neto

In this Letter we use the Julia-Toulouse approach for condensation of defects in order to obtain an effective confinement theory for external chromoelectric probe charges in SU(3) gauge theory in the regime with condensed chromomagnetic…

High Energy Physics - Theory · Physics 2012-03-29 L. S. Grigorio , M. S. Guimaraes , R. Rougemont , C. Wotzasek

We show that a difference in time scales of vertical and lateral dynamics permits one to analyze the problem of interacting electrons confined in an axially symmetric three-dimensional potential with a lateral oscillator confinement by…

Mesoscale and Nanoscale Physics · Physics 2008-09-26 N. S. Simonovic , R. G. Nazmitdinov

Decomposition of SU(2) gauge field into the monopole and monopoleless components is studied in the Maximal Abelian gauge using Monte-Carlo simulations in lattice SU(2) gluodynamics as well as in two-color QCD with both zero and nonzero…

High Energy Physics - Lattice · Physics 2022-02-16 V. Bornyakov , I. Kudrov , R. Rogalyov

The scalar field plays an fundamental role in the investigation of confinement property characterising many particle physics models. This is achieved by coupling this particle directly with gauge fields at the lagrangian level. We have…

High Energy Physics - Phenomenology · Physics 2018-03-20 R. Markazi , N. El Biaze

A comparative dynamical study of axial gauge QED and QCD is presented. Elementary excitations associated with particular field configurations are investigated. Gluonic excitations analogous to linearly polarized photons are shown to acquire…

High Energy Physics - Theory · Physics 2015-06-26 F. Lenz , E. J. Moniz , M. Thies

For a recently proposed pure gauge theory in three dimensions, without a Chern-Simons term, we calculate the static interaction potential within the structure of the gauge-invariant variables formalism. The result coincides with that of the…

High Energy Physics - Theory · Physics 2009-11-10 Patricio Gaete

Within the framework of the gauge-invariant, but path-dependent, variables formalism, we study the connection between scale symmetry breaking and confinement in three-dimensional gluodynamics. We explicitly show that the static potential…

High Energy Physics - Theory · Physics 2008-11-26 Patricio Gaete , José A. Helaÿel-Neto

Abelian and nonabelian gauge invariant states are directly compared to revisit how the unconfined abelian theory is expressed. It is argued that the Yang-Mills equations have no obvious physical content apart from their relation to…

High Energy Physics - Theory · Physics 2007-05-23 Richard S. Wittman