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arXiv · 1805.08566

Fractional Derivative Regularization in QFT

Vasily E. Tarasov
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Abstract

In this paper, we propose new regularization, where integer-order differential operators are replaced by fractional-order operators. Regularization for quantum field theories based on application of the Riesz fractional derivatives of non-integer orders is suggested. The regularized loop integrals depend on parameter that is the order alpha>0 of the fractional derivative. The regularization procedure is demonstrated for scalar massless fields in phi^4-theory on n-dimensional pseudo-Euclidean space-time.

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Vasily E. Tarasov. 2018-05-22. Fractional Derivative Regularization in QFT. https://doi.org/10.1155/2018%2F7612490

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