Spontaneous symmetry breaking in the presence of gravitational fields

Y. Verbin

Research output: Contribution to journalArticlepeer-review


It is shown that spontaneous breaking of O(2) symmetry in a background metric of constant curvature R is accompanied by appearance of a Goldstone mode with mass squared of - 1 2R. If the gravitational field is coupled dynamically, the situation is quite similar and when spontaneous breaking of the O(2) symmetry takes place, a massive Goldstone mode appears in the antide Sitter background. A modified lagrangian yields a massless Goldstone mode and a flat background. If the O(2) symmetry is promoted to be local, the Higgs mechanism is responsible for the scalar and gauge field masses which include gravitational contributions.

Original languageEnglish
Pages (from-to)739-747
Number of pages9
JournalNuclear Physics B
Issue number3-4
StatePublished - 4 Aug 1986
Externally publishedYes

Bibliographical note

Funding Information:
* Supported in part by the US-Israel Binational Science Foundation. * We use the conventions: R = g~R"~,,,~, R~x~,~= O~F~x .... and also use ~ for Newton's constant 8';"r/m2 p lanck.


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