The dimensional regularization in light front

Abstract

On a three-dimensional symmetric Ising tetrahedron and contributions to the theory of the dilogarithm and Clausen functions Abstract. We use dimensional regularization (DR) to evaluate a one-loop four-point function to order g 2 in a scalar φ 4 model using the light-front coordinates and performing the light-front energy variable integration in the first place. The DR in the light-front is applied to the D − 2 transverse variables. We show the equivalence of the result thus obtained with the standard DR applied to D dimensions.