p-form spectra and Casimir energies on spherical tesselations
Dowker, J. S.
arXiv, 0510248 / Harvested from arXiv
Text on arXiv
Casimir energies on space-times having the fundamental domains of semi-regular spherical tesselations of the three-sphere as their spatial sections are computed for scalar and Maxwell fields. The spectral theory of p-forms on the fundamental domains is also developed and degeneracy generating functions computed. Absolute and relative boundary conditions are encountered naturally. Some aspects of the heat-kernel expansion are explored. The expansion is shown to terminate with the constant term which is computed to be 1/2 on all tesselations for a coexact 1-form and shown to be so by topological arguments. Some practical points concerning generalised Bernoulli numbers are given.
Publié le : 2005-10-28
Classification:  High Energy Physics - Theory,  General Relativity and Quantum Cosmology,  Mathematical Physics,  Mathematics - Spectral Theory 
@article{0510248,
     author = {Dowker, J. S.},
     title = {p-form spectra and Casimir energies on spherical tesselations},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0510248}
}

Dowker, J. S. p-form spectra and Casimir energies on spherical tesselations. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0510248/