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The Planck length is the minimum length which physical law do not fail. TheDirac delta function was created to deal with continuous range issue, and it iszero except for one point. Thus contradict the Planck length. Renormalizationmethod is the usual way to deal with divergence difficulties. The authorsproposed a new way to solve the problem of ultraviolet divergence and thismethod is self-consistent with the Planck length. For this purpose a redefinefunction ${\delta}_P$ in position representation was introduced to handle withthe canonical quantization. The function ${\delta}_P$ tends to the Dirac deltafunction if the Planck length goes to zero. By logical deduction the authorsobtains new commutation/anticommutation relations and new Feynman propagatorswhich are convergent. This article will deduce the new Feynman propagators forthe Klein-Gordon field, the Dirac field and the Maxwell field. Through the newFeynman propagators, we can eliminate ultraviolet divergence.

Planck scale, Dirac delta function and ultraviolet divergence