TY - JOUR
T1 - Color algebra of three quarks
AU - Lee, S. C.
PY - 1980
Y1 - 1980
N2 - The color algebra with the outer product [u,v]A=ifABC(uBvC+vCuB) is studied for the case of three-quark sources. It is shown to contain two Abelian elements which annihilate the color-singlet state and a sixteen-element ideal which contains an eight-element subalgebra isomorphic to u(2) (2). The Jacobi identity is not satisfied on the whole algebra. The quantity that measures the breakdown of the Jacobi identity is calculated.
AB - The color algebra with the outer product [u,v]A=ifABC(uBvC+vCuB) is studied for the case of three-quark sources. It is shown to contain two Abelian elements which annihilate the color-singlet state and a sixteen-element ideal which contains an eight-element subalgebra isomorphic to u(2) (2). The Jacobi identity is not satisfied on the whole algebra. The quantity that measures the breakdown of the Jacobi identity is calculated.
UR - http://www.scopus.com/inward/record.url?scp=35949025394&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.21.466
DO - 10.1103/PhysRevD.21.466
M3 - 期刊論文
AN - SCOPUS:35949025394
VL - 21
SP - 466
EP - 470
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
SN - 0556-2821
IS - 2
ER -