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Revista mexicana de física
Print version ISSN 0035-001X
Rev. mex. fis. vol.48 n.2 México Apr. 2002
Investigación
Non-minimal coupling for spin 3/2 fields
Victor M. Villanueva1, Juan A. Nieto2 and Octavio Obregón3
1 Instituto de Física y Matemáticas Universidad Michoacana de San Nicolás de Hidalgo P.O. Box 2-82, Morelia Michoacán, México. E-mail: vvillanu@ifm1.ifm.umich.mx
2 Facultad de Ciencias Físico-Matemáticas Universidad Autónoma de Sinaloa, 80010, Culiacán Sinaloa, México. E-mail: nieto@uas.uasnet.mx
3 Instituto de Física, Universidad de Guanajuato P.O. Box E-143, 37150 León Guanajuato, México. E-mail: octavio@ifug3.ugto.mx
Recibido el 11 de septiembre de 2001.
Aceptado el 15 de enero de 2002.
Abstract
The problem of the electromagnetic coupling for spin 3/2 fields is discussed. Following supergravity and some recent works in the field of classical supersymmetric particles, we find that the electromagnetic coupling must not obey a minimal coupling in the sense that one needs to consider not only the electromagnetic potential but also the coupling of the electromagnetic field strenght. This coupling coincides with the one found by Ferrara et al by requiring that the gyromagnetic ratio be 2. Coupling with non-Abelian Yang-Mills fields is also discussed.
Keywords: Rarita-Schwinger equation; non-minimal coupling; supergravity.
Resumen
Discutimos el problema del acoplamiento electromagnético para campos de espín 3/2. Usando algunos resultados recientes de partículas supersimétricas clásicas, encontramos que el acoplamiento electromagnético debe ser no mínimo en el sentido de acoplarse no sólo al potencial electromagnético, sino también al tensor de campo electromagnético. Este tipo de acoplamiento coincide con el encontrado por Ferrara et al. al demandar que la razón giromagnética de cualquier partícula sea g = 2. Se discute también el acoplamiento con campos no abelianos del tipo Yang-Mills.
Palabras clave: Ecuación de Rarita-Schwinger; acoplamiento no-mínimo; supergravedad.
PACS: 11.10.-z; 1480.-j; 11.10.Ef
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Acknowledgments
This work has been partially supported by CONACyT through the projects: 28454-E, I-32819-E, University of Michoacan through the project CIC 4.14 and University of Sinaloa.
References
1. W. Rarita and J. Schwinger Phys. Rev. 60 (1941) 61; [ Links ] J. Leite Lopes, D. Spheeler and N. Fleury Lett. Nuovo Cimento 35 (1982) 60. [ Links ]
2. G. Velo and D. Zwanziger Phys. Rev 186 (1969) 25. [ Links ]
3. S. Weinberg, in Lectures on Elementary Particles and Quantum Field Theory, Proceedings of the Summer Institute, Brandeis University, 1970, edited by S. Deser (MIT Press, Cambridge, MA, 1970), Vol. I. [ Links ]
4. S. Ferrara, M. Porrati and V. L. Telegdi Phys. Rev. D 46 (1992) 3529. [ Links ]
5. J. A. Nieto and O. Obregón Phys. Lett. A 175 (1993) 11. [ Links ]
6. C. Galvao and C. Teitelboim J. Math. Phys. 21 (1980) 1863. [ Links ]
7. J. A. Nieto, O. Obregón, V. M. Villanueva, Workshops on Particles and Fields and Phenomenology of Fundamental Interactions, Puebla, México, p. 504, Eds. J. C. D'Olivo, A. Fernandez, M. A. Pérez, (1995), American Institute of Physics, [ Links ] J. A. Nieto, O. Obregón, V. M. Villanueva, Proccedings of the First Mexican School on Gravitation and Mathematical Physics, p. 173, Eds. A. Macías, T. Matos, O. Obregón and H. Quevedo, (1993), World Scientific and hep- [ Links ]th/9507095.
8. C. Teitelboim Phys. Rev. Lett. 38 (1977) 1106; [ Links ] R. Tabenski and C. Teitelboim Phys. Lett. 69B (1977) 453. [ Links ]
9. P. van Nieuwenhuizen Physics Reports 68 No. 4 (1981) 189 (North-Holland Publishing Company). [ Links ]
10. A. Cucchieri, M. Porrati and S. Deser, Phys. Rev. D 51 (1995) 4543 [ Links ]
11. S. Deser, V. Pascalutsa, A. Waldron Phys. Rev. D 62 (2000) 105031. hep-th/0003011. [ Links ]
12. V. Pascalutsa, Phys. Rev. D58 (1998) 09600. hep-ph/9802288. [ Links ]