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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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/7612490 |
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| _version_ | 1832547435883266048 |
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| author | Vasily E. Tarasov |
| author_facet | Vasily E. Tarasov |
| author_sort | Vasily E. Tarasov |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-5d96ae7549b64862935c6612bd180615 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-5d96ae7549b64862935c6612bd1806152025-02-03T06:44:46ZengWileyAdvances 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 |
| spellingShingle | Vasily E. Tarasov Fractional Derivative Regularization in QFT Advances in High Energy Physics |
| title | 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_short | Fractional Derivative Regularization in QFT |
| title_sort | fractional derivative regularization in qft |
| url | http://dx.doi.org/10.1155/2018/7612490 |
| work_keys_str_mv | AT vasilyetarasov fractionalderivativeregularizationinqft |