Monopole condensation in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>SU</mml:mi><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:mo>)</mml:mo><mml:mn/></mml:math>QCD

Based on the gauge independent decomposition of the non-Abelian gauge field into the dual potential and the valence potential, we calculate the one-loop effective action of $\mathrm{SU}(2)$ QCD in an arbitrary constant monopole background, using the background field method. Our result provides strong evidence for dynamical symmetry breaking through the monopole condensation, which can induce the dual Meissner effect and establish the confinement of color in the non-Abelian gauge theory. The result is obtained by separating the topological degrees which describe the non-Abelian monopoles from the dynamical degrees of the gauge potential, and integrating out all the dynamical degrees of QCD.

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