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| Format: | Artículo científico |
| Language: | en |
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Sociedade Brasileira de Física
2007
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| Online Access: | https://www.redalyc.org/articulo.oa?id=46437802 |
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Table of Contents:
- Regularizations: A Unique Prescription for All Situations E. Gambin G. Dallabona O. A. Battistel Física, Astronomía y Matemáticas Anomalies Divergences Ambiguities Perturbative calculations A detailed investigation on the possible role played by the intrinsic arbitrariness of the perturbative evaluationof physical amplitudes and their symmetry relations, initiated in a first work, is continued. Previously announcedresults are detailed presented. The very general calculational method, concerning the divergences manipulationsand calculations, adopted to discuss the questions of ambiguities and symmetry relations, in purely fermionicdivergent Green functions, is applied to explicit evaluate three-point functions. Two of such functions, the wellknown Scalar-Vector-Vector and Axial-Vector-Vector triangle amplitudes are considered in details. Given thefact that within the adopted strategy, all the arbitrariness intrinsic to the problem are maintained in the finalresults, and that it is possible to map them in to the ones of traditional techniques, clean and sound conclusionscan be extracted. In particular, we can map our results in to the Dimensional Regularization ones as well asin to those corresponding to surfaces terms evaluation. The first above cited amplitude can be treated withinthe Dimensional Regularization while the second do not and, consequently, it is usually treated by the surfacesterms evaluation strategy. Within the adopted strategy both problems can be equally treated. We show that whenwe require consistency in the interpretations of the intrinsic indefinitions present in the perturbative amplitudes,which means to treat all physical amplitudes on the same way, no room is left for the ambiguities. As a naturalconsequence, the physical amplitudes are obtained symmetry preserving, where they must be, and anomalous,where they need to in spite of being non-ambiguous 2007 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46437802 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.4 Vol.37