An essential assumption in the Vafa and Witten's theorem on P and CT realization in vector-like theories concerns the existence of a free energy density in Euclidean space in the presence of any external hermitian symmetry breaking source. We show how this requires the previous assumption that the symmetry is realized in the vacuum. Even if the Vafa and Witten's conjecture is plausible, actually a theorem is still lacking.

No-go theorem on spontaneous parity breaking revisited

GALANTE, ANGELO
2000

Abstract

An essential assumption in the Vafa and Witten's theorem on P and CT realization in vector-like theories concerns the existence of a free energy density in Euclidean space in the presence of any external hermitian symmetry breaking source. We show how this requires the previous assumption that the symmetry is realized in the vacuum. Even if the Vafa and Witten's conjecture is plausible, actually a theorem is still lacking.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11697/15556
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