Zero modes, entropy bounds and partition functions

Abstract

Some recent finite temperature calculations arising in the investigation of the Verlinde-Cardy relation are re-analysed. Some remarks are also made about temperature inversion symmetry.

12 pages, JyTeX

References in corpus (4)

• Entropy bounds, monotonicity properties and scaling in CFTs
• Entropy Bounds in $R\times S^3$ Geometries
• Elliptic functions and temperature inversion symmetry on spheres
• Explicit conversion from the Casimir force to Planck's law of radiation

Cited by in corpus (12)

• Partition Functions, the Bekenstein Bound and Temperature Inversion in Anti-de Sitter Space and its Conformal Boundary
• Spherical Universe topology and the Casimir effect
• Virtual Processes and Superradiance in Spin-Boson Models
• Thermodynamics of conformal fields in topologically non-trivial space-time backgrounds
• p-form spectra and Casimir energies on spherical tesselations
• Bekenstein entropy bound for weakly-coupled field theories on a 3-sphere
• Remarks on the thermodynamics and the vacuum energy of a quantum Maxwell gas on compact and closed manifolds
• p-forms on d-spherical tessellations
• Quantum Bound on the Specific Entropy in Strong-Coupled Scalar Field Theory
• Ambiguities in the local thermal behavior of the scalar radiation in one-dimensional boxes
• Quantum revivals in free field CFT
• Aspects of Higher-Abelian Gauge Theories at zero and finite temperature: Topological Casimir effect, duality and Polyakov loops