Elliptic functions and temperature inversion symmetry on spheres

J. Stuart Dowker and Klaus Kirsten

Contact the author: Please use for correspondence this email.
Submission date: 11. Jul. 2002
Pages: 36
published in: Nuclear physics / B, 638 (2002) 3, p. 405-432 
DOI number (of the published article): 10.1016/S0550-3213(02)00477-7
Bibtex
MSC-Numbers: 33E05
PACS-Numbers: 11.10.Wx
Keywords and phrases: elliptic functions, finite temperature, inversion symmetry
Download full preprint: PDF (278 kB), PS ziped (211 kB)

Abstract:
Finite temperature boson and fermion free field theories on the space-time manifolds S are discussed with one eye on the questions of temperature inversion symmetry and modular invariance. For conformally invariant theories it is shown that the total energy at any temperature for any odd dimension, d, is given as a power series in the d=3 and d=5 energies, for scalars, and the d=1 and d=3 energies for spinors. Further, these energies can be given in finite terms at specific temperatures associated with singular moduli of elliptic function theory. Some examples are listed and numbers given.