All Physics Faculty Publications
Document Type
Contribution to Book
Journal/Book Title/Conference
American Mathematical Society
Volume
132
Publication Date
1992
First Page
635
Last Page
644
Abstract
SUe 4) x SU(2) is shown to characterize the possible choices of spacetime metric constructible from the gauge fields of the conformal group. When this symmetry is broken by the choice of metric, exactly the SU(3) x SU(2) x U(l) symmetry of the standard model remains. The conformal group consists of Lorentz transformations, translations, inverse translations and dilations. Treated in the standard way, conformal symmetry fails as a unifying gauge group: dilations make the mass spectrum continuous, and the inverse translational gauge field is auxiliary. The theory reduces back to the Poincare group.
Recommended Citation
Wheeler, J. T., SU(3) x SU(2) x U(1)SU(3): The residual symmetry of conformal gravity, Mathematical Aspects of Classical Field Theory, Contemporary Mathematics, Am. Math. Soc., Edited by Mark J. Gotay, Jerold E. Marsden, & Vincent Moncrief (1992) 635-644. http://arxiv.org/pdf/hep-th/9109033
Comments
Available at: http://arxiv.org/pdf/hep-th/9109033