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Abstract:

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 functional over the observables space. Nonrenormalizable theories turn to be finite, but anyhow they are endowed with infinite arbitrary constants. © 2001 Plenum Publishing Corporation.

Registro:

Documento: Artículo
Título:Renormalization and short distance singular structure
Autor:Castagnino, M.
Filiación:Institute de Astronomía y Física del Espacio, Casilla de Correos 67, Sucursal 28, 1428 Buenos Aires, Argentina
Año:2001
Volumen:40
Número:12
Página de inicio:2143
Página de fin:2182
DOI: http://dx.doi.org/10.1023/A:1012977902615
Título revista:International Journal of Theoretical Physics
Título revista abreviado:Int. J. Theor. Phys.
ISSN:00207748
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207748_v40_n12_p2143_Castagnino

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Citas:

---------- APA ----------
(2001) . Renormalization and short distance singular structure. International Journal of Theoretical Physics, 40(12), 2143-2182.
http://dx.doi.org/10.1023/A:1012977902615
---------- CHICAGO ----------
Castagnino, M. "Renormalization and short distance singular structure" . International Journal of Theoretical Physics 40, no. 12 (2001) : 2143-2182.
http://dx.doi.org/10.1023/A:1012977902615
---------- MLA ----------
Castagnino, M. "Renormalization and short distance singular structure" . International Journal of Theoretical Physics, vol. 40, no. 12, 2001, pp. 2143-2182.
http://dx.doi.org/10.1023/A:1012977902615
---------- VANCOUVER ----------
Castagnino, M. Renormalization and short distance singular structure. Int. J. Theor. Phys. 2001;40(12):2143-2182.
http://dx.doi.org/10.1023/A:1012977902615