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Dimensional renormalization in $p$-adic models of field theory
É. Yu. Lerner, M. D. Missarov Kazan State University
Abstract:
We define fractional-dimensional $p$-adic Feynman amplitudes and construct a dimensional renormalization with minimum subtractions. In the fermionic model case, another dimensional renormalization procedure is defined as the inversion of the normalizing transformation at the trivial stable point for the hierarchical renormalization group transformation.
Received: 30.07.1999 Revised: 28.09.1999
Citation:
É. Yu. Lerner, M. D. Missarov, “Dimensional renormalization in $p$-adic models of field theory”, TMF, 123:3 (2000), 462–475; Theoret. and Math. Phys., 123:3 (2000), 801–812
Linking options:
https://www.mathnet.ru/eng/tmf616https://doi.org/10.4213/tmf616 https://www.mathnet.ru/eng/tmf/v123/i3/p462
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Abstract page: | 386 | Full-text PDF : | 211 | References: | 69 | First page: | 1 |
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