Abstract
Using the ζ-function regularization method, we compute expressions for the bosonic and fermionic partition functions for a field theory defined on a sphere S3. We also analyze their behavior with the radius r0 of this manifold, showing that for specific values of the field's masses closed expressions can be obtained, which give a completely different behavior as r0→∞, indicating isolated discontinuities of these partition functions with the masses of the matter fields.
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