Fractional Derivative Regularization in QFT

Fractional Derivative Regularization in QFT

We propose in this paper a 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 noninteger orders is suggested. The regularized loop integrals d...

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Main Author: Vasily E. Tarasov
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2018/7612490
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spelling doaj-5d96ae7549b64862935c6612bd1806152020-11-24T23:13:00ZengHindawi LimitedAdvances in High Energy Physics1687-73571687-73652018-01-01201810.1155/2018/76124907612490Fractional Derivative Regularization in QFTVasily E. Tarasov0Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow 119991, RussiaWe propose in this paper a 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 noninteger orders is suggested. The regularized loop integrals depend on parameter that is the order α>0 of the fractional derivative. The regularization procedure is demonstrated for scalar massless fields in φ4-theory on n-dimensional pseudo-Euclidean space-time.http://dx.doi.org/10.1155/2018/7612490
collection DOAJ
language English
format Article
sources DOAJ
author Vasily E. Tarasov
spellingShingle Vasily E. Tarasov
Fractional Derivative Regularization in QFT
Advances in High Energy Physics
author_facet Vasily E. Tarasov
author_sort Vasily E. Tarasov
title Fractional Derivative Regularization in QFT
title_short Fractional Derivative Regularization in QFT
title_full Fractional Derivative Regularization in QFT
title_fullStr Fractional Derivative Regularization in QFT
title_full_unstemmed Fractional Derivative Regularization in QFT
title_sort fractional derivative regularization in qft
publisher Hindawi Limited
series Advances in High Energy Physics
issn 1687-7357
1687-7365
publishDate 2018-01-01
description We propose in this paper a 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 noninteger orders is suggested. The regularized loop integrals depend on parameter that is the order α>0 of the fractional derivative. The regularization procedure is demonstrated for scalar massless fields in φ4-theory on n-dimensional pseudo-Euclidean space-time.
url http://dx.doi.org/10.1155/2018/7612490
work_keys_str_mv AT vasilyetarasov fractionalderivativeregularizationinqft
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