420,540 research outputs found
No confinement without Coulomb confinement
We compare the physical potential of an external quark-antiquark
pair in the representation of SU(N), to the color-Coulomb potential which is the instantaneous part of the 44-component of the gluon
propagator in Coulomb gauge, D_{44}(\vx,t) = V_{\rm coul}(|\vx|) \delta(t) +
(non-instantaneous). We show that if is confining, , then the inequality holds asymptotically at large , where is the Casimir in
the representation . This implies that is also
confining.Comment: 9 page
Aspects of Confinement: a Brief Review
A brief and biased overview of the phenomenon of confinement in QCD is
presented in three parts: (1) the definition of confinement, (2) properties of
confinement, (3) ideas of confinement. The second part chiefly consists of a
brief review of recent lattice computations related to confinement while the
third summarizes some of the current analytical approaches to understanding
confinement. These include the Dyson-Schwinger formalism in Landau gauge,
Hamiltonian QCD in Coulomb gauge, and the vortex picture of confinement.Comment: 10 pages, 6 eps figures. Plenary talk at Hadron 2003, Aschaffenburg,
German
Perturbative Confinement
A Procedure is outlined that may be used as a starting point for a
perturbative treatment of theories with permanent confinement. By using a
counter term in the Lagrangian that renormalizes the infrared divergence in the
Coulomb potential, it is achieved that the perturbation expansion at a finite
value of the strong coupling constant may yield reasonably accurate properties
of hadrons, and an expression for the string constant as a function of the QCD
Lambda parameter.Comment: Presented at QCD'02, Montpellier, July 2002. 12 pages LaTeX, 8
Figures PostScript, uses gthstyle.sty Reprt-no: ITF-2002/39; SPIN-2002/2
Crystalline Confinement
We show that exotic phases arise in generalized lattice gauge theories known
as quantum link models in which classical gauge fields are replaced by quantum
operators. While these quantum models with discrete variables have a
finite-dimensional Hilbert space per link, the continuous gauge symmetry is
still exact. An efficient cluster algorithm is used to study these exotic
phases. The -d system is confining at zero temperature with a
spontaneously broken translation symmetry. A crystalline phase exhibits
confinement via multi-stranded strings between charge-anti-charge pairs. A
phase transition between two distinct confined phases is weakly first order and
has an emergent spontaneously broken approximate global symmetry. The
low-energy physics is described by a -d effective field
theory, perturbed by a dangerously irrelevant breaking operator, which
prevents the interpretation of the emergent pseudo-Goldstone boson as a dual
photon. This model is an ideal candidate to be implemented in quantum
simulators to study phenomena that are not accessible using Monte Carlo
simulations such as the real-time evolution of the confining string and the
real-time dynamics of the pseudo-Goldstone boson.Comment: Proceedings of the 31st International Symposium on Lattice Field
Theory - LATTICE 201
Structure of the confining solutions for SU(3)-Yang-Mills equations and confinement mechanism
Structure of exact solutions modelling confinement is discussed for
SU(3)-Yang-Mills equations and uniqueness of such confining solutions is proved
in a certain sense. Relationship of the obtained results to QCD and the
confinement mechanism is considered. Incidentally the Wilson confinement
criterion for the found solutions is verified and also numerical estimates for
strength of magnetic colour field responsible for linear confinement are
adduced in the ground state of charmonium.Comment: 16 pages, LaTe
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