Stable monopole–antimonopole string background in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="italic">SU</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> QCD

Motivated by the instability of the Savvidy–Nielsen–Olesen (SNO) vacuum we make a systematic search for a stable magnetic background in pure SU(2) QCD. It is shown that a pair of axially symmetric monopole and antimonopole strings is stable, provided that the distance between the two strings is less than a critical value. The existence of a stable monopole–antimonopole string background strongly supports that a magnetic condensation of monopole–antimonopole pairs can generate a dynamical symmetry breaking, and thus the magnetic confinement of color in QCD.

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