Pseudo-Goldstone bosons in curved space-time

Yutaka Hosotani, Miroslav Nikolić, Serge Rudaz

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


We calculate the effective potential for pseudo-Goldstone bosons (PGBs) in a toy SU(3) gauge theory broken by scalars in the adjoint representation, in the Einstein static universe R1×S3 with constant scalar curvature R. In both the strong- and weak-gravitational-field limits, the effective potential for the PGBs picks up curvature-dependent quadratic terms in one-loop order. Curiously, in the weak-field limit, the gravitational contribution to the PGB mass is of the form R lnR, while in the opposite case (strong field) the expected form linear in R is recovered. A subtlety involved in determining the coupling of Goldstone bosons to the scalar curvature in theories with spontaneous symmetry breaking is described.

Original languageEnglish (US)
Pages (from-to)627-640
Number of pages14
JournalPhysical Review D
Issue number2
StatePublished - 1986


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