TY - JOUR

T1 - Quark color algebra in Adler's chromostatics

AU - Lee, Shih Chang

PY - 1979

Y1 - 1979

N2 - I study quark color charge algebras and investigate general outer products which satisfy the Jacobi identity and inner products which are consistent with the trace condition. The two-quark case is treated in detail. For three or more quarks, only two kinds of outer products are possible, neither of which satisfies the restricted trace condition in the simplest formulation of the color charge algebra. A three-copy theory is constructed so that the restricted trace condition is satisfied in the three-quark case.

AB - I study quark color charge algebras and investigate general outer products which satisfy the Jacobi identity and inner products which are consistent with the trace condition. The two-quark case is treated in detail. For three or more quarks, only two kinds of outer products are possible, neither of which satisfies the restricted trace condition in the simplest formulation of the color charge algebra. A three-copy theory is constructed so that the restricted trace condition is satisfied in the three-quark case.

UR - http://www.scopus.com/inward/record.url?scp=35949039198&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.20.1951

DO - 10.1103/PhysRevD.20.1951

M3 - 期刊論文

AN - SCOPUS:35949039198

VL - 20

SP - 1951

EP - 1964

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 0556-2821

IS - 8

ER -