A Solution of the Relativistic Schrödinger Equation for the $\delta$-Function Potential in 1-dimensiona with Cutoff Regularization

Abstract

We study the solution of the relativistic Schrödinger equation for a point particle in 1-d under $\delta$-function potential by using cutoff regularization. We show that the problem is renormalizable, and the results are exactly the same as the ones obtained using dimensional regularization.

11 pages, 2 figures

References in corpus (1)

• Asymptotic Freedom, Dimensional Transmutation, and an Infra-red Conformal Fixed Point for the $\delta$-Function Potential in 1-dimensional Relativistic Quantum Mechanics