ar X iv : h ep - t h / 96 11 09 6 v 1 1 1 N ov 1 99 6 Confining properties of the classical SU ( 3 ) Yang - Mills theory
نویسنده
چکیده
The spherically and cylindrically symmetric solutions of the SU (3) Yang-Mills theory are obtained. The corresponding gauge potential has the confining properties. It is supposed that: a) the spherically symmetric solution is a field distribution of the classical " quark " and in this sense it is similar to the Coulomb potential; b) the cylindrically symmetric solution describes a classical field " string " (flux tube) between two " quarks ". It is noticed that these solutions are typically for the classical SU (3) Yang-Mills theory in contradiction to monopole that is an exceptional solution. This allows to conclude that the confining properties of the classical SU (3) Yang-Mills theory are general properties of this theory.
منابع مشابه
ar X iv : h ep - t h / 99 02 07 6 v 1 1 1 Fe b 19 99 Confining solutions of SU ( 3 ) Yang - Mills theory
Spherically and cylindrically symmetric solutions of SU (3) Yang-Mills theory are found, whose gauge potentials have confining properties. The spherically symmetric solutions give field distributions which have a spherical surface on which the gauge fields become infinite (which is similiar to bag models of confinement), and the other solution has a potential which increases at large distances....
متن کاملar X iv : h ep - t h / 99 11 17 0 v 1 2 2 N ov 1 99 9 AEI - 1999 - 38 hep - th / 9911170 Yang - Mills Integrals
Abstract. SU(N) Yang-Mills integrals form a new class of matrix models which, in their maximally supersymmetric version, are relevant to recent non-perturbative definitions of 10-dimensional IIB superstring theory and 11-dimensional M-theory. We demonstrate how Monte Carlo methods may be used to establish important properties of these models. In particular we consider the partition functions as...
متن کاملar X iv : h ep - t h / 99 11 17 0 v 2 2 3 N ov 1 99 9 AEI - 1999 - 38 hep - th / 9911170 Yang - Mills Integrals
Abstract. SU(N) Yang-Mills integrals form a new class of matrix models which, in their maximally supersymmetric version, are relevant to recent non-perturbative definitions of 10-dimensional IIB superstring theory and 11-dimensional M-theory. We demonstrate how Monte Carlo methods may be used to establish important properties of these models. In particular we consider the partition functions as...
متن کاملar X iv : h ep - t h / 96 11 00 5 v 1 1 N ov 1 99 6 SU ( N ) Matrix Difference Equations and a Nested Bethe Ansatz
A system of SU(N)-matrix difference equations is solved by means of a nested version of a generalized Bethe Ansatz, also called ”off shell” Bethe Ansatz [1]. The highest weight property of the solutions is proved.
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تاریخ انتشار 1996