Special unitary group In mathematics, the special unitary group of degree , denoted , is the Lie group of unitary matrices with determinant 1. (More general unitary matrices may have complex determinants with absolute value 1, rather than real 1 in the special case.) The group operation is matrix multiplication.The special unitary group is a subgroup of the unitary group, consisting of all
What is a traceless tensor? - Quora Quite literally, a traceless tensor T is one such that Tr(T)=0. The trace of a tensor (in index notation) can be thought of as contracting one of a tensor’s indices with another: i.e. in general relativity, the Ricci curvature scalar is given by t group theory - Why gauge fields are traceless Hermitian So I've had a read of this, and I'm still not convinced as to why gauge fields are traceless and Hermitian.I follow the article fine, it's just the section that says "don't worry about this complicated maths, the point is that the gauge field is in the Lie algebra".
Mathematical properties and physical meaning of the
Tensor Properties • Symmetric Tensors. A tensor S is called symmetric if it is invariant under permutations of its arguments! , ! , ∀,∈ • AntisymmetricTensors. A tensor A is called antisymmetric or skew-symmetric if the sign flips when two adjacent arguments are exchanged" , −" , ∀,∈ • Traceless Tensors. Tensors T with zero
Section 4 deals with the algebraic properties of the new set of three traceless 2 x 2 (anti-)Hermitian matrices. In section 5, we make some concluding remarks.
Traces of Gamma Matrices - Physics Traces of Gamma Matrices W. A. Horowitz November 17, 2010 Using Peskin’s notation we take = 0 Gamma matrices - Wikipedia In mathematical physics, the gamma matrices, {,,,}, also known as the Dirac matrices, are a set of conventional matrices with specific anticommutation relations that ensure they generate a matrix representation of the Clifford algebra Cℓ 1,3 (R).It is also possible to define higher-dimensional gamma matrices.When interpreted as the matrices of the action of a set of orthogonal basis vectors