Elliptic functions and temperature inversion symmetry on spheres

Details Elliptic functions and temperature inversion symmetry on spheres Elliptic functions and temperature inversion symmetry on spheres

2002-05-03

arxiv.org/abs/hep-th/0205029v1

Nucl.Phys. B638 (2002) 405-432

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, JyTeX

Scientific paper

Finite temperature boson and fermion field theories on ultrastatic space-times with a d-sphere spatial section 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 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.

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