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

DOI: 10.4213/tmf616

 English version: Theoretical and Mathematical Physics, 2000, 123:3, 801–812

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