The Role of Mass and External Field on the Fermionic Casimir Effect.pdfVIP

The Role of Mass and External Field on the Fermionic Casimir Effect J. L. Tomazelli Departamento de F´ısica e Qu´ımica, Faculdade de Engenharia, Universidade Estadual Paulista, Campus da Guaratinguet´a, Av. Dr. Ariberto Pereira da Cunha 333, 12500-000 2 Guaratinguet´a, SP, Brazil. 0 0 2 t L. C. Costa c O Instituto de F´ısica Te´orica, 9 Universidade Estadual Paulista, 1 v 2 01405-900, S˜ao Paulo, Brazil. 9 0 0 1 2 Abstract 0 / h t - The aim of this work is to investigate the role played by the fermion mass p e h and that of an external field on the fermionic Casimir energy density under : v 1 3 i S ×R topology. Both twisted and untwisted spin connections are considered X r and the exact calculation is performed using a somewhat different approach a based on the combination of the analytic regularization method through α- representation and the Euler-Maclaurin summation formula. 1 I. INTRODUCTION As well as the Lamb-Retherford shift of atomic energy levels and the electron’s anomalous magnetic moment, the Casimir force between two parallel perfectly conducting plates is one of the most remarkable manifastations of quantum vacuum fluctuantions. It was first predicted on theoretical grounds by H. B. G. Casimir in 1948 [1] and experimentally verified on a qual