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arXiv · 1303.4708

Finite-sites corrections to the Casimir energy on a periodic lattice

Michael Pawellek
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Abstract

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.

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Michael Pawellek. 2013-03-19. Finite-sites corrections to the Casimir energy on a periodic lattice. https://arxiv.org/abs/1303.4708

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