A Solution of the Relativistic Schr\"odinger Equation for the δ-Function Potential in 1-dimensiona with Cutoff Regularization

Abstract

We study the solution of the relativistic Schr\"odinger equation for a point particle in 1-d under δ-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.

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