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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 SU (3) is a subgroup of group U (3), the group of all 3×3 unitary matrices. The unitarity condition imposes nine constraint relations on the total 18 degrees of freedom of a 3×3 complex matrix.
SU(3) corresponds to special unitary transformation on complex 3D vectors. The natural representation is that of 3×3 matrices acting on complex 3D vectors.
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.
31 Δεκ 2019 · Lecture 44 : SU (2) and SU (3) groups. IIT Bombay July 2018. 89.4K subscribers. Subscribed. 273. 20K views 4 years ago JAN 2020 - Group Theory methods in Physics. SU (2) and SU (3)...
22 Μαρ 2021 · A very important group is SU (3), since it is related to the color carried by the quarks, the basic building blocks of QCD. The transformations within SU (3) are all those amongst a vector consisting of three complex objects that conserve the length of the vector.
This article describes the mathematics of the Standard Model of particle physics, a gauge quantum field theory containing the internal symmetries of the unitary product group SU (3) × SU (2) × U (1). The theory is commonly viewed as describing the fundamental set of particles – the leptons, quarks, gauge bosons and the Higgs boson .
