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

@article{Moss2003FermionCE, title={Fermion Casimir energy for a de Sitter brane in AdS(5)}, author={Ian G. Moss and Wenceslao Santiago-Germ'an and Wade Naylor and Misao Sasaki}, journal={arXiv: High Energy Physics - Theory}, year={2003} }

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…

## One Citation

### Possible contributions to the bulk Casimir energy in heterotic M-theory

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Some possible ways for the study of the contributions of some background fields to the bulk Casimir energy have been probed in the framework of the 5D heterotic M-theory.

## References

SHOWING 1-10 OF 24 REFERENCES

### Bulk quantum effects for de Sitter branes in AdS5

- Physics
- 2003

We investigate some issues regarding quantum corrections for de Sitter branes in a bulk AdS(5) spacetime. The one-loop effective action for a Majorana spinor field is evaluated and compared with the…

### Casimir effect in de Sitter and Anti-de Sitter braneworlds

- Physics
- 2003

We discuss the bulk Casimir effect (effective potential) for a conformal or massive scalar when the bulk represents five-dimensional anti\char21{}de Sitter (AdS) or de Sitter (dS) space with one or…

### Quantum Fields in Curved Space

- Physics
- 1980

This book presents a comprehensive review of the subject of gravitational effects in quantum field theory. Although the treatment is general, special emphasis is given to the Hawking black hole…

### The Quantum Theory

- PhysicsNature
- 1928

IN a lecture on the quantum theory it might be thought fitting to commence with a clear explanation of the purpose, nature, and scope of the subject; but an attempt to answer briefly the question,…

### Quantum Theory, Black Holes and Inflation

- Physics
- 1996

Quantum Theory and Path Integrals. Quantum Field Theory. Gauge Theories. Quantum Statistical Mechanics. Classical Gravity. Black Hole Evaporation. The Inflationary Universe. Quantum Cosmology.…

### Phys

- Lett. B 542
- 2002

### Phys

- Rev. D 62
- 2000

### Phys. Rev. D

- Phys. Rev. D
- 2000

### Class

- Quant. Grav. 17
- 2000

### Phys

- Rev. Lett. 83
- 1999