# Wedges, cones, cosmic strings and their vacuum energy

@article{Fulling2012WedgesCC, title={Wedges, cones, cosmic strings and their vacuum energy}, author={Stephen A. Fulling and Cynthia Trendafilova and Phuongmai Truong and Jef Wagner}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2012}, volume={45} }

One of J Stuart Dowker’s most significant achievements has been to observe that the theory of diffraction by wedges developed a century ago by Sommerfeld and others provided the key to solving two problems of great interest in general-relativistic quantum field theory during the last quarter of the 20th century: the vacuum energy associated with an infinitely thin, straight cosmic string, and (after an interchange of time with a space coordinate) the apparent vacuum energy of empty space as…

## 7 Citations

### Comment on ‘Wedges, cones, cosmic strings and their vacuum energy’

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## References

SHOWING 1-10 OF 109 REFERENCES

### Boundary conditions for quantum mechanics on cones and fields around cosmic strings

- Physics
- 1991

We study the options for boundary conditions at the conical singularity for quantum mechanics on a two-dimensional cone with deficit angle ≦ 2π and for classical and quantum scalar fields propagating…

### Topological Casimir effect in compactified cosmic string spacetime

- Physics, Mathematics
- 2011

We investigate the Wightman function, the vacuum expectation values of the field squared and the energy–momentum tensor for a massive scalar field with general curvature coupling in the generalized…

### Uses of zeta regularization in QFT with boundary conditions: a cosmo-topological Casimir effect

- Physics
- 2006

Zeta regularization has proven to be a powerful and reliable tool for the regularization of the vacuum energy density in ideal situations. With the Hadamard complement, it has been shown to provide…

### Vacuum energy for static, cylindrically symmetric systems

- Physics
- 2012

Vacuum Energy for Static, Cylindrically Symmetric Systems. (May 2012) Cynthia Trendafilova Department of Mathematics Department of Physics Texas A&M University Research Advisor: Dr. Stephen Fulling…

### Investigations of the torque anomaly in an annular sector. II. Global calculations, electromagnetic case

- Physics
- 2013

Recently, it was suggested that there was some sort of breakdown of quantum field theory in the presence of boundaries, manifesting itself as a torque anomaly. In particular, Fulling et al. used the…

### Investigations of the torque anomaly in an annular sector. I. Global calculations, scalar case

- Physics
- 2013

In an attempt to understand a recently discovered torque anomaly in quantum field theory with boundaries, we calculate the Casimir energy and torque of a scalar field subject to Dirichlet boundary…

### Vacuum polarization induced by a cylindrical boundary in the cosmic string spacetime

- Physics
- 2006

In this paper we investigate the Wightman function, the renormalized vacuum expectation values of the field square, and the energy-momentum tensor for a massive scalar field with general curvature…

### Casimir Effect for a Perfectly Conducting Wedge in Terms of Local Zeta Function

- Physics
- 2002

Abstract The vacuum energy density of electromagnetic field inside a perfectly conducting wedge is calculated by making use of the local zeta function technique. This regularization completely…

### Vacuum fluctuations outside cosmic strings.

- PhysicsPhysical review. D, Particles and fields
- 1986

A quasiregular singularity which appears in the exterior spacetime of a cosmic string with (1/4)<..mu..<(1/2) is shown to be unstable as a consequence of divergent vacuum fluctuations.