Z3 strings and their interactions

Junseong Heo, Tanmay Vachaspati

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


We construct Z3 vortex solutions in a model in which SU(3) is spontaneously broken to Z3. The model is truncated to one in which there are only two dimensionless free parameters and the interaction of vortices within this restricted set of models is studied numerically. We find that there is a curve in the two dimensional space of parameters for which the energy of two asymptotically separated vortices equals the energy of the vortices at vanishing separation. This suggests that the inter-vortex potential for Z3 strings might be flat for these couplings, much like the case of U/(1) strings in the Bogomol'nyi limit. However, we argue that the intervortex potential is attractive at short distances and repulsive at large separations leading to the possibility of unstable bound states of Z3 vortices.

Original languageEnglish (US)
Article number065011
Pages (from-to)650111-6501010
Number of pages5850900
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number6
StatePublished - Sep 15 1998
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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