Abstract
An analysis is presented of the gauge symmetry breaking caused by Wilson loops on a space-time whose spatial section is ${\mathrm{openR}}^{d}$\ifmmode\times\else\texttimes\fi{}${S}^{3}$/\ensuremath{\Gamma}, for all those fundamental groups \ensuremath{\Gamma} that give a homogeneous space. We concentrate on pure SU(3) and SU(5) gauge field theories and find that symmetry breaking can occur when d=0, for all \ensuremath{\Gamma}. If d=3, the extra minimal scalars prevent any breaking and one must include other fields to achieve this. Explicit forms for the vacuum energies are exhibited in the case of lens and prism spaces, the former for SU(n). For \ensuremath{\Gamma}=${Z}_{m}$, when m and the radius of the sphere become infinite, we recover the results on the space-time ${\mathrm{openR}}^{d+3}$\ifmmode\times\else\texttimes\fi{}${S}^{1}$.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
