Introducción al modelo estándar en el background field method electrodebil
Luis G. Cabral-Rosetti
Instituto de Ciencias Nucleares Departamento de Física de Altas Energías Universidad Nacional Autónoma de México, (ICN-UNAM) Circuito Exterior, C.U., Apartado Postal 70-543, 94510 México, D.F., México. e-mail: luis@nuclecu.unam.mx
Recibido el 28 de mayo de 2001.
Aceptado el 17 de agosto de 2001.
Resumen
En este trabajo docente, revisamos la formulación del modelo estándar (ME) electrodebil SU(2)L ⊗ U (1)Y en el contexto del Background Field Method (BFM). Primeramente, analizamos con cierto detalle las diferentes partes del lagrangiano del ME. A continuación, llevamos a cabo la cuantización canónica del ME, vía integral de caminos. De la misma forma, cuantizamos el ME en el esquema del BFM y analizamos sus ventajas. Listamos algunas de las identidades de Ward que surgen del BFM electrodebil. Como ejemplo calculamos la carga y el momento magnético del neutrino y probamos la tranversalidad de la autoenergía γBZB a un lazo por cálculo directo. Finalmente, listamos las reglas de Feynman del BFM electrodebil en la norma de 't Hooft-Feynman (ξQ = 1).
Palabras clave: Modelo estándar; background field method; background field method electrodebil; interacciones electrodebiles.
Abstract
In this educational work, we review the formulation of the Standard Model (SM) SU(2)L ⊗ U (1)Y in the context of electroweak Background Field Method (BFM). Firstly, we analyze the different parts of the Lagrangian of the SM with certain detail. Secondly, we make the canonical quantization of SM, via path integral. In the same way, we quantize the SM in the BFM framework and we analyze its advantages. We list some Ward identities from electroweak BFM. For example, we calculate the electric charge and the magnetic moment of the neutrino and we show the transversality of the self-energy γB-ZB at one-loop by direct calculation. Finally, we list the Feynman rules of the electroweak BFM in the't Hooft-Feynman gauge (ξQ = 1).
Keywords: Standar model; background field method; electroweak background field method; electroweak interactions.
PACS: 11.15.-q; 11.15.-m,; 12.38.-t; 12.38.Ex
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