Cosmic electroweak strings
Abstract
We examine the Standard Model field configurations near cosmic strings in a particular class of models. This class is defined by the condition that the generator of the flux in the string, T_{s}, commutes with the Standard Model Lie algebra. We find that if the Standard Model Higgs carries a charge F_{h}/2 under T_{s}, cosmic string solutions have Zflux F_{z} = [n  F_{h}N/(F_{φ})]4π cosθ_{w}/(g) , where n is any integer and4πN/(qF_{φ}) is the flux of the gauge field associated with T_{s}. Only the configuration with the smallest value of n F_{h}N/(F_{φ}) is stable, however. We argue that the instabilities found at higher F_{z} are just associated with paths in configuration space reducing n F_{h}N/(F_{φ}) by one unit. This contradicts recent claims that the instabilities in such models represent the spontaneous generation of current along the string. We also show that if the stable cosmic electroweak string has a winding in the electroweak Higgs field, then there are Standard Model fermion zero modes on the string. However, recent work suggests that these introduce new instabilities on the string.
 Publication:

Physics Letters B
 Pub Date:
 February 1996
 DOI:
 10.1016/03702693(95)015345
 arXiv:
 arXiv:hepph/9510434
 Bibcode:
 1996PhLB..370...29G
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 Latex, 13 pages, 2 uuencoded figures