Pseudo-Goldstone bosons in curved space-time

Details Pseudo-Goldstone bosons in curved space-time Pseudo-Goldstone bosons in curved space-time

Jul 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phrvd..34..627h&link_type=abstract

Physical Review D (Particles and Fields), Volume 34, Issue 2, 15 July 1986, pp.627-640

Physics

4

Spontaneous Breaking Of Gauge Symmetries, Spontaneous And Radiative Symmetry Breaking

Scientific paper

We calculate the effective potential for pseudo-Goldstone bosons (PGB's) 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 PGB's 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.

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