Abstract

One-loop corrections to the equation expressing the instability of a constant colour magnetic field with respect to the Nielsen-Olesen mode are considered. These corrections radically change the equation, and introduce a critical field strength B C upon which instability, and consequently the life or death of the Copenhagen vacuum, depends. The value of B C is calculated, and is found to leave the Copenhagen vacuum intact. Our equation distinguishes between field configurations, which are quantum dynamically unstable and configurations having an effective energy with non-zero imaginary part, generally believed to signal instability. We interpret the difference. Finally we expose a mechanism which presumably makes the imaginary part of the effective energy density vanish, if the Nielsen-Olesen unstable mode is excited above a critical amplitude χ C ≈ 0.24.

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