Abstract
We study a new set of functions that are given by the coefficients of the character expansion of the single-link action in theSU(3) lattice-gauge theory. The function is specified by the indices λ and μ of theSU(3) representation of the Young tableau. From the Schwinger-Dyson variational method we derive the recursion relations among the functions. By combining the recursion relation and the relation of the differentiation, we derive the linear differential equation of the sixth order for the function. We discuss the properties of the function in detail in comparison with the functions in theSU(2) group.
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