Coleman-Weinberg symmetry breaking in $SU(8)$ induced by a third rank antisymmetric tensor scalar field

Abstract

We study $SU(8)$ symmetry breaking induced by minimizing the Coleman-Weinberg effective potential for a third rank antisymmetric tensor scalar field in the 56 representation. Instead of breaking $SU(8)\supset SU(3)\times SU(5)$, we find that the stable minimum of the potential breaks the original symmetry according to $SU(8)\supset SU(3)\times Sp(4)$. Using both numerical and analytical methods, we present results for the potential minimum, the corresponding Goldstone boson structure and BEH mechanism, and the group-theoretic classification of the residual states after symmetry breaking.

Latex, 15 pages. v3 to appear in Journal of Physics A: Mathematical and Theoretical

References in corpus (2)

• SU(8) family unification with boson-fermion balance
• $SU(n)$ symmetry breaking by rank three and rank two antisymmetric tensor scalars

Cited by in corpus (5)

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• Canonical Field Anticommutators in the Extended Gauged Rarita-Schwinger Theory
• Analysis of a gauged model with a spin-$\frac{1}{2}$ field directly coupled to a Rarita-Schwinger spin-$\frac{3}{2}$ field
• Coleman-Weinberg symmetry breaking in $SU(8)$ induced by a third rank antisymmetric tensor scalar field II: the fermion spectrum
• Analysis of an $SU(8)$ model with a spin-$\frac{1}{2}$ field directly coupled to a gauged Rarita-Schwinger spin-$\frac{3}{2}$ field