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词条 Elitzur's theorem
释义

  1. See also

  2. Notes

  3. References

  4. External links

{{Orphan|date=April 2011}}

Elitzur's theorem is a theorem in quantum and statistical field theory stating that local gauge symmetries cannot be spontaneously broken. The theorem was proposed in 1975 by Shmuel Elitzur, who proved it for Abelian gauge fields on a lattice.[1] It is nonetheless possible to spontaneously break a global symmetry within a theory that has a local gauge symmetry, as in the Higgs mechanism.{{Citation needed|date=September 2015}}

See also

  • Mermin–Wagner theorem

Notes

1. ^{{cite journal | author = Elitzur S | year = 1975 | title = Impossibility of spontaneously breaking local symmetries | journal = Phys. Rev. D | volume = 12 | pages = 3978–3982 | doi = 10.1103/PhysRevD.12.3978|bibcode = 1975PhRvD..12.3978E }}

References

  • {{Citation | last1=Itzykson | first1=Claude | last2=Drouffe | first2=Jean-Michel | title=Statistical field theory. Vol. 1 | publisher=Cambridge University Press | series=Cambridge Monographs on Mathematical Physics | isbn=978-0-521-34058-8 | mr=1175176 | year=1989}}

External links

  • Notes on lattice gauge theory by A. Muramatsu
{{DEFAULTSORT:Elitzur's Theorem}}{{Physics-stub}}

4 : Theorems in quantum physics|Quantum field theory|Symmetry|Statistical mechanics theorems

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