Artículos de revistas
Renormalization and Short Distance Singular Structure
Fecha
2001-12Registro en:
Castagnino, Mario Alberto G. J.; Renormalization and Short Distance Singular Structure; Springer/plenum Publishers; International Journal of Theoretical Physics; 40; 12; 12-2001; 2143-2182
0020-7748
CONICET Digital
CONICET
Autor
Castagnino, Mario Alberto G. J.
Resumen
The relation between renormalization and short distance singular divergencies in quantum field theory is studied. As a consequence a finite theory is presented. It is shown that these divergencies originate from the multiplication of distributions (and worse-defined mathematical objects). Some of them are eliminated when the multiplication is defined based on dimensional regularization, while others disappear when the states are considered as functionals over the observables space. Nonrenormalizable theories turn to be finite, but anyhow they are endowed with infinite arbitrary constants.