H. García–Compeán and C. Soto–Campos
Departamento de Física, Centro de Investigación y de Estudios Avanzados del IPN Apartado Postal 14–740, 07000, México D.F., México.
Recibido el 18 de julio de 2005
Aceptado el 14 de marzo de 2005
Abstract
]]> Gravitational anomalies in a noncommutative space are examined. The analysis is generic and independent of a particular noncommutative theory of gravity, and it depends only on how gravity is noncommutatively coupled to chiral fermions. Delbourgo–Salam computation of the gravitational correction of the axial ABJ–anomaly is studied in detail in this context. Finally, we show that the two–dimensional gravitational anomaly does not permit noncommutative corrections in the parameter Θ.Keywords: Gravitational anomalies; Delbourgo–Salam anomaly; noncommutative field theory.
Resumen
Se examinan las anomalías gravitacionales en un espacio no conmutativo. El análisis es general e independiente de alguna teoría de gravedad no conmutativa específica y depende sólo de cómo la gravedad se acople a los fermiones quirales. El cálculo de Delbourgo–Salam de la correccción gravitacional a la anomalía axial ABJ se estudia en detalle en este contexto. Finalmente se muestra que la anomalía gravitacional en dos dimensiones no admite correcciones no conmutativas en el parámetro Θ.
Descriptores: Anomalías gravitacionales; anomalía de Delbourgo–Salam; teorías de campo nonconmutativas.
PACS: 04.50.+h; 11.30.Rd
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]]>Acknowledgments
This work was supported in part by CONACyT México grant No. 3395 1E. C.S.–C. is supported by a CONACyT (México) graduate fellowship.
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