Fermion Casimir energy for a de Sitter brane in AdS(5)

Abstract

Based on some recent work of the authors, we focus on the relationship between the Casimir energy of a Majorana spinor field for a Euclidean Einstein universe $S^4\times R$ and for a Euclidean de Sitter brane ($S^4$) embedded in AdS(5). This is for a conformally coupled massless field. Interestingly, the one brane effective potential is zero and the results are equivalent, as for the scalar case, when evaluated on the conformally related cylinder. However, using the actual metric this equivalence no longer holds because a non-trivial contribution from the path integral measure (known as the cocycle function) is non-zero.

Talk given at the 12th Workshop on General Relativity and Gravitation, University of Tokyo, Tokyo, Japan, 25-28 Nov 2002

References in corpus (2)

• Casimir effect in de Sitter and Anti-de Sitter braneworlds
• Bulk quantum effects for de Sitter branes in AdS(5)