2013/03/19 by Michael Pawellek, Pawellek, Michael
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #hep-th
paper · pdf · doi:10.48550/arxiv.1303.4708
21 pages, 4 figures
arxiv created 2013/03/19 · openalex publication_date 2013/03/19 · arxiv updated 2013/03/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that the vacuum ground state energy for massive scalars on a 1-dim L-sites periodic lattice can be interpreted as the thermodynamic free energy of particles at temperature 1/L governed by the Arutyunov-Frolov mirror Hamiltonian. Although the obligatory zero-point sum-over-frequencies is finite on the lattice, a renormalization prescription is necessary in order to obtain a physical sensible result for the lattice Casimir energy. The coefficients of every term in the large L expansion of the lattice Casimir energy are provided in terms of modified Bessel functions.