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
نویسندگان
چکیده
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. The cylindrically symmetric solution describes a classical field " string " (flux tube) of the kind which is expected to form between quarks in the dual superconductor picture of confinement. These solutions with classical confining behaviour appear to be typical solutions for the classical SU (3) Yang-Mills equations. This implies 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 / 96 11 09 6 v 1 1 1 N ov 1 99 6 Confining properties of the classical SU ( 3 ) Yang - Mills theory
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 fie...
متن کاملar X iv : h ep - t h / 99 02 18 4 v 1 2 5 Fe b 19 99 QUANTUM COSMOLOGY FROM N = 4 SUPER YANG - MILLS THEORY
We consider quantum N = 4 super Yang-Mills theory interacting in a covariant way with N = 4 conformal supergravity. The induced large N effective action for such a theory is calculated on a dilaton-gravitational background using the conformal anomaly found via AdS/CFT correspondence. Considering such an effective action as a quantum correction to the classical gravity action we study quantum co...
متن کاملar X iv : h ep - t h / 02 01 18 6 v 1 2 4 Ja n 20 02 Classical Solutions of SU ( 3 ) Pure Yang - Mills Theory
Regular classical solutions of pure SU(3) gauge theories, in Minkowsky spacetime, are computed in the Landau gauge. The classical fields have an intrinsic energy scale and produce quark confinement if interpreted in the sense of a nonrelativistic potential. Moreover, the quark propagator in the background of these fields vanishes at large positive and negative time and space.
متن کاملar X iv : h ep - t h / 05 02 11 7 v 1 1 3 Fe b 20 05 hep - th / 0502117 ITP – UH – 02 / 05 Noncommutative Instantons in 4 k Dimensions
We consider Ward’s generalized self-duality equations for U(2r) Yang-Mills theory on R and their Moyal deformation under self-dual noncommutativity. Employing an extended ADHM construction we find two kinds of explicit solutions, which generalize the ’t Hooft and BPST instantons from R to noncommutative R. The BPST-type configurations appear to be new even in the commutative case.
متن کاملar X iv : h ep - t h / 99 02 13 1 v 1 1 8 Fe b 19 99 NBI - HE - 99 - 05 Introduction to the Maldacena Conjecture on AdS / CFT
These lectures do not at all provide a general review of this rapidly growing field. Instead a rather detailed account is presented of a number of the most elementary aspects.
متن کامل