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.
- Pub Date:
- March 2003
- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology
- Talk given at the 12th Workshop on General Relativity and Gravitation, University of Tokyo, Tokyo, Japan, 25-28 Nov 2002