Kappa-deformed quantum field theory and Casimir effect

Abstract

We consider the quantization of a scalar kappa-deformed field up to the point of obtaining an expression for its vacuum energy. The expression is given by the half sum of the field frequencies, as in the non-deformed case, but with the frequencies obeying the kappa-deformed dispersion relation. We consider a set of kappa-deformed Maxwell equations and show that for the purpose of calculating the Casimir energy the Maxwell field, as in the non-deformed case, behaves as a pair of scalar fields. Those results provide a foundation for computing the Casimir energy starting from the the half sum of field frequencies. A method of calculation starting from this expression is briefly described.

6 pages, talk at "Renormalization Group and Anomalies in Gravity and Cosmology", Ouro Preto-MG-Brazil, march 2003

References in corpus (1)

• New Developments in the Casimir Effect

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• Primitively divergent diagrams in $\kappa$-deformed scalar field with quartic self-interaction