In mathematics, the special unitary group of degree n, denoted SU (n), is the Lie group of n × n unitary matrices with determinant 1. The matrices of the more general unitary group may have complex determinants with absolute value 1, rather than real 1 in the special case. The group operation is matrix multiplication.

2017年4月25日 · The interest in SU(3) as a flavor symmetry has largely faded away, after the discovery of 3 more quark flavors which act so differently from the first three that symmetry seems an inappropriate approximation.

Generalization to SU(3) of Clebsch–Gordan coefficients is useful because of their utility in characterizing hadronic decays, where a flavor-SU(3) symmetry exists (the eightfold way) that connects the three light quarks: up, down, and strange.

Combining SU(3) states (adding a 3rd quark) 3 3 = 3 (6 3) = 10 s 8 M;S M;A 1 Start with the fully symmetric combination with the 6: uuu 3 such states p1 3 (ddu +udd dud) 6 such states p1 6 (dsu +uds sud sdu dus usd) 1 such state Now, the mixed symmetry combination with the 6: p1 6 [(ud+ du)u 2uud] 8 such states Now the 3: p1 6

In quantum physics, several U(N) and SU(N) symmetries are required. The symmetry discussed in this paper is the so called flavor SU(3) of the hadronic particles. But to understand the correspon-dence of this group to particle physics, one should analyze the properties of SU(3) first. Definition 2.1. The group SU(3) is defined by.

•Within the SU(3) octet, we can identify the isospin triplet with the pions, and the two isopindoublets with the different kaons. The singlet state is an Omeson. We also have another Omeson in the SU(3) singlet state. •The SU(3) symmetry is approximate: the kaons and pionshave very different masses. Likewise the pure O 8and O

By design the SM has an exact SU(3) colour local symmetry, with a corresponding gauge invariance and the associated 8 gauge bosons – gluons. The gauge-invariant kinetic term which can be included in the Lagrangian for the gauge fields is µν µν L ~F F gauge where µν F is derived from the commutator of the covariant derivatives µ = ∂ ...

The SU(3) uds flavour symmetry contains the subgroup of SU(2) u ↔ d flavour symmetry. Hence, three of the λ-matrices correspond to the SU(2) ud isospin sym-

There are two important and distinct SU(3) symmetries that are relevant for the strong interactions: SU(3) color symmetry of the quark and gluon dynamics and SU(3) flavor symmetry of light quarks. Each of these symmetries refers to an underlying threefold symmetry in strong interaction physics.

In subatomic particle: SU(3) symmetry. With the introduction of strangeness, physicists had several properties with which they could label the various subatomic particles.