1998/12/31 by J. S. Dowker, J S Dowker · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Quantum and Classical Electrodynamics #hep-th
paper · pdf · doi:10.1088/0264-9381/16/6/323
published as Class.Quant.Grav. 16 (1999) 1937-1953 · 23 pages, JyTeX. Conclusion slightly amended, one equation and minor misprints corrected
openalex publication_date 1999/01/01 · arxiv created 1999/01/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
The effective actions of massless scalar and spin-½ fields are determined as functions of the deformation of a symmetrically squashed 3-sphere. The extreme oblate case is particularly examined as pertinent to a high-temperature statistical-mechanical interpretation that may be relevant for the holographic principle. Interpreting the squashing parameter as a temperature, we find that the effective `free energies' on the 3-sphere are mixtures of thermal 2-sphere scalars and spinors which, in the case of the spinor on the 3-sphere, have the `wrong' thermal periodicities. However, the free energies do have the same leading high-temperature forms as the standard free energies on the 2-sphere. The next few terms in the high-temperature series are also evaluated and briefly compared with the Taub-Bolt-AdS bulk result.