Quantum revivals in free field CFT
arXiv:1605.01633 · doi:10.1088/1751-8121/aa5360
Abstract
A commentary is made on the recent work by Cardy, ArXiv:1603. 08267, on quantum revivals and higher dimensional CFT. The actual expressions used here are those derived some time ago. The calculation is extended to fermion fields for which the power spectrum involves the odd divisor function. Comments are made on the equivalence of operator counting and eigenvalue methods, which is quickly verified. An explanation of the rational revivals for odd spheres is given in terms of wrongly quantised fields.
22 pages. 8 figures. Notation improved. Errors corrected. Considerable extension to section on wrongly quantised fields. References added. v3 Further corrections. Remarks added on the modular relations between scalars and spinors and their `wrong' partners. Comments on sphere eigenvalues added
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