No-go theorem on spontaneous parity breaking revisited

Citation
V. Azcoiti et A. Galante, No-go theorem on spontaneous parity breaking revisited, NUCL PH B-P, 83-4, 2000, pp. 947-949
Citations number
7
Categorie Soggetti
Physics
Journal title
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS
ISSN journal
09205632 → ACNP
Volume
83-4
Year of publication
2000
Pages
947 - 949
Database
ISI
SICI code
0920-5632(200004)83-4:<947:NTOSPB>2.0.ZU;2-9
Abstract
An essential assumption in the Vafa and Witten's theorem on P and CT realiz ation in vector-like theories concerns the existence of a free energy densi ty in Euclidean space in the presence of any external hermitian symmetry br eaking source. We show how this requires the previous assumption that the s ymmetry is realized in the vacuum. Even if Vafa and Witten's conjecture is plausible, actually a theorem is still lacking.