Abstract
It is shown that in the weak coupling limit the Bethe-Salpeter equation of massless chromodynamics admits a colourless tachyon solution when the number of quark multiplets n ⩽ n c, where for the colour group SU(N) the critical value n c ≈ 0.14 N 3/( N 2 − 1). When n ⩽ n c, the vacuum rearrangement results in the gluons acquiring a mass; n > n c all particles remain massless.
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