Turkish Journal of Physics
A Few Thoughts About Quarks
DOI
-
Abstract
We present a novel approach to the description of quark fields, based on the use of Z_{3}-graded algebras. After introducing Z_{3}-graded generalizations of Grassmann and Clifford algebras, we discuss the cubic version of Dirac's equation for the quarks, which after diagonalization leads to the third-order partial differential equation for the wave functions. We show how certain cubic and quadratic products of these functions can be interpreted as solutions of first-and second-order differential equations.
First Page
415
Last Page
424
Recommended Citation
KERNER, Richard (1997) "A Few Thoughts About Quarks," Turkish Journal of Physics: Vol. 21: No. 3, Article 19. Available at: https://journals.tubitak.gov.tr/physics/vol21/iss3/19
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