Dimensional renormalization in $p$-adic models of field theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 123 (2000) no. 3, pp. 462-475
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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.
@article{TMF_2000_123_3_a7,
author = {\'E. Yu. Lerner and M. D. Missarov},
title = {Dimensional renormalization in $p$-adic models of field theory},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {462--475},
publisher = {mathdoc},
volume = {123},
number = {3},
year = {2000},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2000_123_3_a7/}
}
TY - JOUR AU - É. Yu. Lerner AU - M. D. Missarov TI - Dimensional renormalization in $p$-adic models of field theory JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2000 SP - 462 EP - 475 VL - 123 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2000_123_3_a7/ LA - ru ID - TMF_2000_123_3_a7 ER -
É. Yu. Lerner; M. D. Missarov. Dimensional renormalization in $p$-adic models of field theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 123 (2000) no. 3, pp. 462-475. http://geodesic.mathdoc.fr/item/TMF_2000_123_3_a7/