Fractional Derivative Regularization in QFT
Author
Source
Advances in High Energy Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-05-23
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Tarasov, Vasily E.. 2018. Fractional Derivative Regularization in QFT. Advances in High Energy Physics،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1118248
Modern Language Association (MLA)
Tarasov, Vasily E.. Fractional Derivative Regularization in QFT. Advances in High Energy Physics No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-1118248
American Medical Association (AMA)
Tarasov, Vasily E.. Fractional Derivative Regularization in QFT. Advances in High Energy Physics. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1118248
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1118248