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The smallest integer t for which the Wilson loop W^{t} fails to exhibit area law is known as the confinement index of a given field theory. The confinement index provides us with subtle information on the vacuum properties of the system. We…

High Energy Physics - Theory · Physics 2009-12-04 Kenichi Konishi , Yutaka Ookouchi

At low energies, the strong interaction is governed by the Goldstone bosons associated with the spontaneous chiral symmetry breaking, which can be systematically described by chiral perturbation theory. In this paper, we apply this theory…

High Energy Physics - Phenomenology · Physics 2020-05-11 Zhen-Yan Lu , Meng-Lin Du , Feng-Kun Guo , Ulf-G. Meißner , Thomas Vonk

We consider three dimensional quantum electrodynamics (cQED3) with massless relativistic fermions coupled to a compact gauge field using a combined perturbative variational approach. Coupling to matter renders the bare interaction between…

Strongly Correlated Electrons · Physics 2011-08-08 Matthew J. Case , Babak H. Seradjeh , Igor F. Herbut

In some recent papers it is claimed that the physical significance of the vacuum angle theta for QCD-like theories depends on the chosen gauge condition. We criticise the arguments that were given in support of this claim, and show by…

High Energy Physics - Theory · Physics 2009-10-31 Christoph Adam

Subject of our investigations is QCD formulated in terms of physical degrees of freedom. Starting from the Faddeev-Popov procedure, the canonical formulation of QCD is derived for static gauges. Particular emphasis is put on obstructions…

High Energy Physics - Phenomenology · Physics 2016-11-23 Frieder Lenz , Stefan Woerlen

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 show a theorem proving that a non-local bosonic field upon a covariant interaction with a confining gauge field undergoes the confinement of its degrees of freedom present in the free theory changing completely the physical mass spectrum…

High Energy Physics - Theory · Physics 2023-04-25 Marco Frasca , Anish Ghoshal , Alexey S. Koshelev

The theta dependent of pure gauge theories in four dimensions can be studied using a duality of large N gauge theories with string theory on a certain spacetime. Via this duality, one can argue that for every theta, there are infinitely…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

The basic properties of the confinement mechanism in QCD -- the temperature dependence of the spatial and temporal string tensions ($\sigma_s(T)$ and $\sigma_E(T)$) -- are studied in the framework of the Field Correlator Method (FCM). It is…

High Energy Physics - Phenomenology · Physics 2024-08-26 N. O. Agasian , Z. V. Khaidukov , M. S. Lukashov , Yu. A. Simonov

Using covariant phase space formulations for the natural topological invariants associated with the world-surface in closed string theory, we find that certain Wilson loops defined on the world-surface and that preserve topological…

High Energy Physics - Theory · Physics 2015-06-26 R. Cartas-Fuentevilla

Features of screening and confinement are studied for the coupling of axial torsion fields with photons in the presence of an external electromagnetic field. To this end we compute the static quantum potential. Our discussion is carried out…

High Energy Physics - Theory · Physics 2009-12-21 Patricio Gaete , José A. Helaÿel-Neto

Recent progress achieved in the solution of the problem of confinement in various (non-)Abelian gauge theories by virtue of a derivation of their string representation is reviewed. The theories under study include QCD within the so-called…

High Energy Physics - Theory · Physics 2015-06-26 Dmitri Antonov

We consider the Wilson loop expectation in SU(2) lattice gauge theory in the presence of constraints. The constraints eliminate from the functional measure gauge field configurations whose physical interpretation is that of thick center…

High Energy Physics - Lattice · Physics 2009-10-31 T. G. Kovács , E. T. Tomboulis

We study the main properties of the one-loop vacuum polarization function for massless spinor QED4 in a slab, namely, with fields defined on M in R^(3+1), such that M = {(x0, ..., x3)|0 <= x3 <= epsilon}, and bag-like boundary conditions on…

High Energy Physics - Theory · Physics 2014-11-20 C. Ccapa Ttira , C. D. Fosco , E. Losada

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

In the limit of infinite external magnetic field B the static field of an electric charge is squeezed into a string parallel to B. Near the charge the potential grows like |x_3|(ln |x_3| + const) with the coordinate x_3 along the string.…

High Energy Physics - Theory · Physics 2011-02-11 A. E. Shabad , V. V. Usov

We consider a 2+1-dimensional SU(N) lattice gauge theory in an axial gauge with the link field U in the 1-direction set to one. The term in the Hamiltonian containing the square of the electric field in the 1-direction is non-local. Despite…

High Energy Physics - Lattice · Physics 2009-11-11 Peter Orland

We show that the QCD axion couples to the electromagnetic kinetic term at one loop. The result is that if axions make up dark matter, they induce temporal variation of the fine structure constant $\alpha$, which is severely constrained. We…

High Energy Physics - Phenomenology · Physics 2023-07-21 Carl Beadle , Sebastian A. R. Ellis , Jérémie Quevillon , Pham Ngoc Hoa Vuong

We investigate the description of quark confinement in terms of confining strings or flux tubes. We show that compact QED with a topological $\theta$-term, in the dyon condensation phase, is described by a massive two-form field $B_{\mu…

High Energy Physics - Theory · Physics 2026-05-14 M. C. Diamantini , F. Quevedo , C. A. Trugenberger , L. Zapata

Using the AdS/CFT correspondence we study UV behavior of Wilson loops in various noncommutative gauge theories. We get an area law in most cases and try to identify its origin. In D3 case, we may identify the the origin as the D1 dominance…

High Energy Physics - Theory · Physics 2010-05-28 Sunggeun Lee , Sang-Jin Sin