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Modular properties of massive scalar partition functions
- Source :
- Journal of High Energy Physics, Vol 2024, Iss 9, Pp 1-32 (2024)
- Publication Year :
- 2024
- Publisher :
- SpringerOpen, 2024.
-
Abstract
- Abstract We compute the exact thermal partition functions of a massive scalar field on flat spacetime backgrounds of the form ℝ d−q × 𝕋 q+1 and show that they possess an SL(q + 1, ℤ) symmetry. Non-trivial relations between equivalent expressions for the result are obtained by doing the computation using functional, canonical and worldline methods. For q = 1, the results exhibit modular symmetry and may be expressed in terms of massive Maass-Jacobi forms. In the complex case with chemical potential for U(1) charge turned on, the usual discussion of relativistic Bose-Einstein condensation is modified by the presence of the small dimensions.
Details
- Language :
- English
- ISSN :
- 10298479
- Volume :
- 2024
- Issue :
- 9
- Database :
- Directory of Open Access Journals
- Journal :
- Journal of High Energy Physics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.8e5b1d7fc6774b66a6e6b123c00a3452
- Document Type :
- article
- Full Text :
- https://doi.org/10.1007/JHEP09(2024)127