It corresponds with the existence of 8 generators of SU (3) implying the existence of eight gluon types to act as its force carrier. The stipulation that the SU(3)c group should be local – that is, that its transformations be allowed to vary with space and time – determines the properties of the strong interaction. Every quark flavor f, each with subtypes fB, fG, fR corresponding to the , forms a triplet: a three-componentquantum field which transforms under the fundamental representation of SU(3)c. 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.
SU(3)c color transformations correspond to "rotations" in color space (which, mathematically speaking, is a complex space). T1 - Quark color algebra in Adler's chromostatics. Just as electric charge originates electromagnetic interactions, color originates strong. Just as the laws of physics are independent of which directions in space are designated x, y, and z, and remain unchanged if the coordinate axes are rotated to a new orientation, the physics of quantum chromodynamics is independent of which directions in three-dimensional color space are identified as blue, red, and green. Quarks possess a property to which has been given the name color. I am pretty sure you know the different flavors and their mass and charge differences, but the color question in one way seems to be moot, they are arbitrarily assigned as long as the hadrons get three giving white and the mesons get their whiteness from the anticolor of the antiquark. Color is always attractive, but it can be "nullified" in certain color combinations so that stable bound states of quarks appear, as with the rest of the quote.įlavor characterizes the weak interactions of the quarks. The quark forces are attractive only in "colorless" combinations. The identifications are not random, they are within the SU(3)xSU(2)xU(1) group representations and algebra of the standard model of particle physics. So it can also come in the three color quantum numbers, for identification called red blue and green ( analogous to the weak Strange Charm Bottom Top).
One is talking quantum mechanics and attributed quantum numbers to elementary particles.Ī simple quantum number is charge and it it assigned to quarks ( and antiquarks) as +/-1/3 or +/-2/3 as in the tableĬharge is connected with the electromagnetic force.įlavor is assigned as a quantum number to each quark, and it is connected with the weak interaction.Įach quark at the same time is connected with the strong color force of quantum chromo dynamics.
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