Amending the Vafa-Witten Theorem

Chuan Li; Qing Wang

doi:10.1016/j.physletb.2013.02.050

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arXiv · 1301.7009

Amending the Vafa-Witten Theorem

Chuan Li·Qing Wang

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Abstract

The strong version of the Vafa-Witten theorem is shown may not to hold because the zero condensate from a direct computation of the order parameter is found to be a result on the symmetric vacuum. The validity of the Vafa-Witten theorem relies then on its weak version, that the Goldstone boson is absent in vector-like gauge theories with vanishing θ-angle. The existence of a charged ρ-meson condensate, which violates electromagnetic gauge symmetry, is consistent with this weak version of the Vafa-Witten theorem when applied to strong magnetic fields in QCD.

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Chuan Li, Qing Wang. 2013-02-12. Amending the Vafa-Witten Theorem. https://doi.org/10.1016/j.physletb.2013.02.050

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