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We describe the current search for confinement mechanisms in lattice QCD. We report on a recent derivation of a lattice Ehrenfest-Maxwell relation for the Abelian projection of SU(2) lattice gauge theory. This gives a precise lattice…

High Energy Physics - Lattice · Physics 2015-06-25 Richard W. Haymaker

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 analyze the large $N$ limit of adjoint QCD, an $SU(N)$ gauge theory with $N_f$ flavors of massless adjoint Majorana fermions, compactified on $S^3 \times S^1$. We focus on the weakly-coupled confining small-$S^3$ regime. If the fermions…

High Energy Physics - Theory · Physics 2015-09-07 Gokce Basar , Aleksey Cherman , David A. McGady

The gauge model of nonrelativistic particles on a line interacting with nonstandard gravitational fields [5] is supplemented by the addition of a (non)-Abelian gauge interaction. Solving for the gauge fields we obtain equations, in closed…

High Energy Physics - Theory · Physics 2009-11-07 P. C. Stichel , W. J. Zakrzewski

Quantum electrodynamics in three spacetime dimensions, with one massless fermion species, is studied using a non-perturbative variational approach. Quantization of the theory follows Dirac's Hamiltonian procedure, with a gauge invariant…

High Energy Physics - Theory · Physics 2017-02-10 Michaël Fanuel , Jan Govaerts

Recently we discovered and discussed non-Abelian duality in the quark vacua of N=2 super-Yang-Mills theory with the U(N) gauge group and N_f flavors (N_f>N). Both theories from the dual pair support non-Abelian strings which confine…

High Energy Physics - Theory · Physics 2011-06-07 M. Shifman , A Yung

We evaluate S_{APQCD}, the Abelian projection QCD(APQCD) action nonperturbatively on the lattice. For SU(2), we find S_{APQCD} at strong coupling is essentially the compact QED(CQED) action. At weaker coupling, we find S_{APQCD} mutates: it…

High Energy Physics - Phenomenology · Physics 2016-09-01 Ken Yee

The physics of electric and magnetic screening in non-Abelian finite temperature field theory is closely related to the non-perturbative properties of the corresponding three-dimensional effective theories which are confining. I discuss…

High Energy Physics - Phenomenology · Physics 2007-05-23 Owe Philipsen

We revisit the symmetries of massless two-dimensional adjoint QCD with gauge group $SU(N)$. The dynamics is not sufficiently constrained by the ordinary symmetries and anomalies. Here we show that the theory in fact admits $\sim 2^{2N}$…

High Energy Physics - Theory · Physics 2021-05-05 Zohar Komargodski , Kantaro Ohmori , Konstantinos Roumpedakis , Sahand Seifnashri

This thesis is devoted to studying strong coupling phenomena (and confinement in particular) in supersymmetric gauge theories. The central object of investigation is the non-Abelian string that is responsible for the…

High Energy Physics - Theory · Physics 2020-12-01 E. Ievlev

Bosonisation of the massive Thirring model, with a non-minimal and non-abelian gauging is studied in 2+1-dimensions. The static abelian model is solved completely in the large fermion mass limit and the spectrum is obtained. The non-abelian…

High Energy Physics - Theory · Physics 2016-09-06 Subir Ghosh

If we approximate light quarks as massless and apply the Schwinger confinement mechanism to light quarks, we will reach the conclusion that a light quark $q$ and its antiquark $\bar q$ will be confined as a $q\bar q$ boson in the Abelian…

High Energy Physics - Phenomenology · Physics 2023-07-14 Cheuk-Yin Wong

Gauge theories with gauge group $SU(N)$ and quarks belonging to arbitrary representations of $SU(N)$ form a rich landscape of QCD-like theories, whose study can shed new light on the properties of confinement. Four cases are particularly…

High Energy Physics - Lattice · Physics 2020-03-23 F. Buisseret , C. Semay

We discuss the effect of dynamical charged particles in U(1)^{N-1} Abelian effective theories of QCD. Screening and confinement at zero temperature are explained qualitatively. The effect of dynamically charged particle is expressed in…

High Energy Physics - Lattice · Physics 2009-11-07 Tsuneo Suzuki , M. N. Chernodub

Quark confinement is proposed to be a dual Meissner effect of nonAbelian kind. Important hints come from physics of strongly-coupled infrared-fixed-point theories in N=2 supersymmetric QCD, which turn into confining vacua under a small…

High Energy Physics - Theory · Physics 2017-04-05 Kenichi Konishi

We study the Abelian projection of quark confinement in SU(3) quenched lattice QCD, in terms of the dual superconductor picture. In the maximal Abelian gauge, we perform the Cartan decomposition of the non-Abelian gauge field on a $32^4$…

High Energy Physics - Lattice · Physics 2015-03-10 Naoyuki Sakumichi , Hideo Suganuma

The role non-Abelian magnetic monopoles play in the dynamics of confinement is discussed by examining carefully a class of supersymmetric gauge theories as theoretical laboratories. In particular, in the so-called $r$-vacua of softly broken…

High Energy Physics - Theory · Physics 2017-08-23 K. Konishi

A common approach while considering confinement is to study the dominance of an Abelian subgroup of the SU(3) gauge Links. A good way to find the Abelian component of the field is through the Cho-Guan-De gauge invariant Abelian…

High Energy Physics - Lattice · Physics 2013-11-14 Nigel Cundy , Yongmin Cho , Weonjong Lee

We discuss the confining features of the Schwinger model on the Poincare half plane. We show that despite the fact that the expectation value of the large Wilson loop of massless Schwinger model displays the perimeter behavior, the system…

High Energy Physics - Theory · Physics 2007-05-23 H. Mohseni Sadjadi , M. Alimohammadi

We investigate the deconfining phase transition in SU(3) pure gauge theory and in full QCD with two flavors of staggered fermions. The phase transition is detected by measuring the free energy in presence of an abelian monopole background…

High Energy Physics - Lattice · Physics 2009-11-10 Paolo Cea , Leonardo Cosmai , Massimo D'Elia